Bitcoin Forum

Alternate cryptocurrencies => Altcoin Discussion => Topic started by: Sunny King on July 10, 2013, 04:57:23 AM



Title: [XPM] Primecoin Record Books
Post by: Sunny King on July 10, 2013, 04:57:23 AM
I am thrilled to see the level of enthusiasms for primecoin in the mining market. I suspect maybe we already broke some world records but hadn't the time to fully research this. So I hope more of you can keep an eye on this and keep the record book updated  ;)

The Cunningham chain record book is maintained by Dirk Augustin here:
http://users.cybercity.dk/~dsl522332/math/Cunningham_Chain_records.htm

The bi-twin chain record book is maintained by Henri Lifchitz here:
http://www.primenumbers.net/Henri/fr-us/BiTwinRec.htm

Upon a quick examination I have found that 2CC09 is the first world record claimed by primecoin:


Block #2044 New World Record for 2CC09 (131 digits)
Block #5355 New World Record for 2CC09 (158 digits)


So for the miners of #2044 and #5355 please step up and give us a proof you are the miner and the name you would like to be written for the record book ;)

To look up if you are the lucky miner who mined a new world record you can go to help->debug window->console and type
validateaddress <record_holding_address>

If the validate shows 'ismine' as 'true' that means you own that address.

Note: Since v0.1.2 one can use the 'listprimerecords' command to quickly check ownership of the records. The 'ismine' field indicates whether the wallet owns the given record.

You can check and verify these records at http://primecoin.21stcenturymoneytalk.org/ (http://primecoin.21stcenturymoneytalk.org/) (primality tests and queries through Wolfram Mathematica courtesy of Petr1fied)

References:

  • Cunningham chain records (maintained by Dirk Augustin)
    http://users.cybercity.dk/~dsl522332/math/Cunningham_Chain_records.htm
  • Bi-twin chain record (maintained by Henri Lifchitz)
    http://www.primenumbers.net/Henri/fr-us/BiTwinRec.htm
  • Largest Known Simultaneous Primes (maintained by Jens Kruse Andersen)
    http://users.cybercity.dk/~dsl522332/math/simultprime.htm


A summary of current Primecoin records and milestones is here:
https://github.com/primecoin/primecoin/wiki/World-records




Title: Re: [XPM] Primecoin Record Books
Post by: Sunny King on July 10, 2013, 04:57:34 AM
Cunningham Chain of First Kind
1CC0a (length 10) New World Records

Code:
date          block  digits  miner       address                              origin
2013-JUL-13   25180  100     anonymous   AP5qb6ySFRYdJmefATxV739pcA3saBbzMR   1467571177564998134347102104951765467044820381099333204864098893454664132418114863035097366536546710
2013-JUL-14   36946  101     anonymous   APvFkztPBuJeBUUr24MEU1nzFPCphurDmG   11465638089728131864775132449198766553373961660324227600361211413471034825392696606112333799573425900
2013-JUL-14   39211  107     anonymous   AedCo1qGFPkcqJFcCvRmpjxjtczFAZ1w75   53380921225206183166701559984674036925336991978674554081782699928497491450227718950497050045681495765339740
2013-JUL-14   42915  113*    anonymous   ATsof2oAeZZU55iBAVxRCQo2uUgqsdag5L   65626673845641649924123273202852335856036673113289116056542209395642840705999891603660011843902608022464024001940
2013-JUL-17   56141  114*    anonymous   AVwA1PESBQnEnZkT6SxqePCpYPNqf5jCui   110139222742862414946527260918705007858229064001959662378951230989993021544021069491948197398947403216799473799600
2013-JUL-19   64363  123*    anonymous   AZYYYUwS6b2PVoe9wu9WPyg9q2tGhexeQi   673671402179818680444637564209256081164022307107409017669000285816173430103142017743691781162257339191649482900406195918550
2013-JUL-26   84659  123     anonymous   AT5A2KL6kAm5Pa3anhC8W4LVscCT16n6i2   747831081867491737344220705317488823495567086022025985355798947327981698303502927772565734396673815059071657854953459114520
2013-JUL-28   86265  123     anonymous   AT5A2KL6kAm5Pa3anhC8W4LVscCT16n6i2   975141779776899148072682965016310537400720440646243552629493978099999120133499815179320219981546810096518383710767456368560
2013-JUL-28   86955  125     anonymous   AHJgeYrpGkcPZXMNUQF7E7hrwagJXyCx55   47658758478756882173203359984838774348185422577738252191434431178301829757522595540351413755218680825870800661845714738910320
2013-AUG-10  110117  132     anonymous   AT5A2KL6kAm5Pa3anhC8W4LVscCT16n6i2   141629660727915503752898757548765485106392332864562704159970904518724012649788024791518664370348656874303915519187632902253250286020
2013-SEP-11  160314  138     anonymous   AcLBm5Z9BD7o7btAchFh9KZEkSS683d7c3   393592338071774708345600670406484546682278782773188142051175984005815422463533672647228111423521854338612867594830589180992593257116467200

1CC0b (length 11) New World Records
Code:
date          block  digits  miner       address                              origin
2013-JUL-16   50357   93     anonymous   AG33ifKp4pgtVMT35xKuSdd8n8K7iJJtVV   782085581864223981723860606585689982970244857289578450276592479114601803884565549647477263050
2013-JUL-18   61106  102     anonymous   ASxku9S6cJfHLYTEKyMh7W5R8TAhGPpLyK   206477773379731977774142896515233596733236541150939198692959763843783143274912495606841185571009525440
2013-JUL-21   75970  102     anonymous   AHLN5LNfSUJix8pjdzDAUmcezgDjVna9rf   983953982692225899657884849461845008676426574416094533084878272402486989380186366359332933644425874880
2013-JUL-22   76601  108*    anonymous   ARP4gFr4FqMk1KBVQYZijZVr6aBH7GStru   272553935005399294398855060417103951551884341271238434792595597492145082646807048495647707732547886203201400
2013-JUL-23   79087  113*    anonymous   APdJZBSE2TSvWUgfjukakRcvLWLhpJzMmt   46550636845880768522007163444006706774198981317195280590375593089339633096100003206876774419002906067504914908160
2013-JUL-26   84106  116*    anonymous   AJSuPfA1L5s4WazRKmXZtVGJndMTmC3Jjy   13453165798617712419687546943339675642576417071473775773796734086422771559444715203141892311689843802857486584242530
2013-AUG-03   95569  140**   anonymous   AT5A2KL6kAm5Pa3anhC8W4LVscCT16n6i2   16640727253474004586160688087254796287314713234888194836242582373213323826931605469636261216936400592303991475386891804398184601469085345290

1CC0c (length 12) New World Records
Code:
date          block  digits  miner       address                              origin
2013-AUG-25  133627   97     anonymous   AJRyZ94psJ18yt1MSTbCgMdCSSCMZ8wp3Z   1504168962574062803137414130930660778152683543764354046164675995110798918787541562558605851798400
(*) New world record for any simultaneous primes
(**) Current world record for any simultaneous primes


Title: Re: [XPM] Primecoin Record Books
Post by: Sunny King on July 10, 2013, 04:57:43 AM
Cunningham Chain of Second Kind
2CC09 (length 9) New World Records

Code:
date          block  digits  miner       address                              origin
2013-JUL-08    2044  131     anonymous   AJWaMGNiTzXaPPqYBeEATKEistd5uEFX9H   15746436948707162347681191092622506406480521554672382866529113365451686336191616303820985251295842020684640523576306336183730859560
2013-JUL-09    5355  158     anonymous   AHeG75PkSDxutnzPx8YyZcWLiPW2nw8FbP   65004063504559525007738276505391185322137155270201199057971076511954045665048965173722209501026611156768988779138868408914387452650147975793533060274322762630
2013-JUL-23   79349  167     anonymous   AT5A2KL6kAm5Pa3anhC8W4LVscCT16n6i2   67121346036174978216073825429435247985561782293439351425614137284135427292017227830156987827886635528094635132607782528416383899409022153357061074179354540657518764980

2CC0a (length 10) New World Records
Code:
date          block  digits  miner       address                              origin
2013-JUL-17   56040  111     anonymous   ASngGDdwL3BTB4xNvMBJhKpAZBygXfPRTx   540591439578191124333987537244487104351553628121240416389733460962286144565580666187647833173169068070114819100
2013-JUL-18   60036  112     anonymous   APiN27ghNSeMGCRRoKNDpCS6tKJ4y3C65Y   1026577865154411050345694195904855245380826125412204600227013002991514796640714975359782776335540063776353231360
2013-JUL-18   61999  115     anonymous   AdgAMS82vJRB26u59bbvfKzy2ycA8ZXgXs   2952177236616676033311902158935551545798498629595775704783660152822153541027353921756019920271738619381614244455680
2013-JUL-23   78915  123     anonymous   AT5A2KL6kAm5Pa3anhC8W4LVscCT16n6i2   420259164888972153896551699924095312151183288229843798250495732872656956447831232539030965868445652365509403394802654353370
2013-JUL-23   79590  123     glongsword  AezMwyLP2hpT3yh3LDZkydqkpsrTg7Eyfk   516610085492754824418986472857765784243494656292197910357937471150920165842830004124116749888529901876980190057871066320280
2013-JUL-26   83550  127*    anonymous   ATe7tG7XMJeCcfKBVw1awGupC6yczDSDEp   1778513587956580716855420490099665949680077832524271593789109612972056129583956913116118668697535882956915530376277216672094220
2013-JUL-30   90226  130     anonymous   AP97aXPAv1iTSB7fSxHWz9kZYGmgzzhHLw   1856444202570069790027606341337628242397916405981913332714663000167654392694983526817995128407928175221754809805659453964506372800
2013-AUG-20  125775  137     anonymous   AT5A2KL6kAm5Pa3anhC8W4LVscCT16n6i2   23646797644613181652077051148263569082034548201607349150415779149453896696506469171738734108542091180876265479944017032519039133999958380

2CC0b (length 11) New World Records
Code:
date          block  digits  miner       address                              origin
2013-JUL-14   38452   91     anonymous   Ab3q81ntHWJyVMZiZRwJQBpGWq8ivaPRKU   1584460028833159366077854920307046020163947536652781795096336987381152782447945941051081270
2013-JUL-17   58326   98     tyrion70    ASg92u69JSVAhWZXCWo8cCRivnNxw7Cxdk   11094566376523280618581513742645738015090881449803480646443949209510295708822478786224579836360400
2013-JUL-20   71765  108*    anonymous   AdbaauJxrqZeHhEHBMtzT2V4Jw44xWGWbS   105691393939326239489213798286512880220435792764225864633399962721963208034055157105757769221183205774532800
2013-JUL-28   87510  109     anonymous   Aag7uMnDNAyMrw4c9sykoJsF2P4v7zYZNr   8814483333748049948348866124578777409638487572961774739037192399677709587825382519114340816714459924252649840
2013-AUG-02   93500  110     anonymous   AV6kMea3RBP8MBfwNkoBC8rjz8WSpjvkb2   12919359041319297573800219527314150261876866237623539229915043819043486203007812522355343407207385865679554400
2013-AUG-07  103611  111     anonymous   AdqhSCkqzFK2H7qur7FeS9kZvqFJ93rsXN   894014225668379110254770670353303331537938615235567214349859028094445191638859424199965333528037392736004495220
2013-AUG-11  112258  116     anonymous   AT5A2KL6kAm5Pa3anhC8W4LVscCT16n6i2   10298179995346934475599550759141135060352409910201645973639513566315728531596473769078474771861757481290569956681960

2CC0c (length 12) New World Records
Code:
date          block  digits  miner       address                              origin
2013-JUL-21   74722   97*    anonymous   ANAxFogaHq7j8KhRUJpCKVgQFgpV4BTprB   3449444377568991585040475388682438645993008025869337997512468691374935175142784462483371526174240

2CC0d (length 13) New World Records
Code:
date          block  digits  miner       address                              origin
2013-SEP-10  159217   94**   anonymous   AWbm4AWfhyZEMkdPYLMs4FyYdBzNGrUw91   2157379196749861922279323942438489646066518556204460081290289105121926523847387648204577131520
(*) New world record for any simultaneous primes
(**) Current world record for any simultaneous primes


Title: Re: [XPM] Primecoin Record Books
Post by: Sunny King on July 10, 2013, 04:57:54 AM
Bi-Twin Chain
TWN0a (length 10 or 4-link) New World Records

Code:
date          block  digits  miner       address                              origin
2013-JUL-13   28769  100     anonymous   AQRqYBNUuDZ3ZYX9pxAXT2EjQFSGvK648g   6270348046248842675134740667873621645608992111467171842614798336587708242682773905712237187238857800
2013-JUL-15   47749  102     anonymous   AHr6X1SD4J1H7TQhns1u8sGQ5Q19m4siiE   170827363795582229230268777404453280826388562670633874692183768658391718201873554963662681033943315460
2013-JUL-15   48805  113*    anonymous   AJ1V2Bnb26ntFSfygVmPW5jBT6MPFe8u4m   95647865980709297367638085442612834635203634076579420442747203941392575031626356314183647368831809812670855287440
2013-JUL-18   59413  114*    tyrion70    AboJhEpASDPTif7fotR1gFrKVLnsRA3yP9   136109697722440527066489900698858491822367242185476263275366380529633949422150929532460809595330379649988851959640
2013-JUL-18   60506  115*    anonymous   AGRbpCiauX3SoksHUpuA5RMvP52ZLxjNpy   2128358311473587483814805091908661973951363475530898315884081325916690410381160893774403867759476705219677816357060
2013-JUL-18   61476  119*    anonymous   AXWphP8TebwduDiYciZuMF4H344trwmtBM   21160762204513719681580545215871805992960632653008473892375633688535428710087455259258800749470977512844492360386330500
2013-JUL-22   76809  126*    rethaw      AYdBWCsu4CQG6ZEbVWGe4oU9oyK3fUnzPm   160119522069821195835891275392518115341345841109408574791359778924664436202474106714742688904833455303202422814762675464936800
2013-JUL-27   85429  138*    anonymous   ANpF1kgWVFwZzrq1rUwwE12gsUygvoWSmX   390849245020278799461752816633038360124443455072886339668748549421519409612815490264951570698400171605784205614569364836261787050550231210

Bi-Twin Chain
TWN0c (length 12 or 5-link) New World Records

Code:
date          block  digits  miner       address                              origin
2013-AUG-07  104102   97*    anonymous   ARaJ8hhjuQXmBsvjSfsa5w2ApNJ3P6zjKG   3706690909253262065643001178828571349153211037142938286663726897991011404595469333408146060285440
2013-AUG-11  111414   99*    anonymous   Aa4VB4kXKqderxii2fvikYvHV3erB94LJr   165183856358409517893584391121271703536701885226865065066301119950330672511289408234526899901077750
2013-AUG-25  133522  100**   anonymous   AL5XWSNGYehN7uBVnVifC2gW3HzWXJTeZ3   7289325639742745408604166175693980341996014621245068154776545719446635469740444451014378588038390140
(*) New world record for any simultaneous primes
(**) Current world record for any simultaneous primes


Title: Re: [XPM] Primecoin Record Books
Post by: 96redformula on July 10, 2013, 05:07:31 AM
What is the address or way to identify the block numbers?

Edit: Not me  ;D


Title: Re: [XPM] Primecoin Record Books
Post by: Zalfrin on July 10, 2013, 05:12:26 AM
Block explorer here: http://primecoin.21stcenturymoneytalk.org/

For reference, winning addresses are AJWaMGNiTzXaPPqYBeEATKEistd5uEFX9H and AHeG75PkSDxutnzPx8YyZcWLiPW2nw8FbP


Title: Re: [XPM] Primecoin Record Books
Post by: craslovell on July 10, 2013, 05:14:08 AM
Doesn't appear to be me  :(


Title: Re: [XPM] Primecoin Record Books
Post by: Ginsley on July 10, 2013, 05:25:36 AM
Just a dumb question: How do i look which blocknumbers i found? Is it possible from within the Wallet?


Title: Re: [XPM] Primecoin Record Books
Post by: maka on July 10, 2013, 05:30:01 AM
Just a dumb question: How do i look which blocknumbers i found? Is it possible from within the Wallet?

your block# = current block total - your comfirmation#

http://www2.crypto-expert.com/primecoin/index.php


Title: Re: [XPM] Primecoin Record Books
Post by: A L I E N on July 10, 2013, 05:34:41 AM
Congratulations, this is exciting stuff!


Title: Re: [XPM] Primecoin Record Books
Post by: rethaw on July 10, 2013, 05:44:11 AM
In your definition we have bitwin chains with an odd length. Could you explain how to map that to Lifchitz's records table? Does length 9 mean only 3 links?

Code:
{
    "hash" : "02a74e2d1e1ce73167bdd2a510febd3ca635ac5a7c700dfdd65b5b19ff0d85ad",
    "primechain" : "TWN09.b4fd9b",
    "primeorigin" : "1379977696373299686489657264795932186988807519791671031116918283191809429649078965671417820492149886465837951201350875440",
}


Title: Re: [XPM] Primecoin Record Books
Post by: Sunny King on July 10, 2013, 05:50:42 AM
Bi-twin chain records only count even lengths. So we are waiting for the first TWN10 block (which is the bi-twin of 4 links)


Title: Re: [XPM] Primecoin Record Books
Post by: com911 on July 10, 2013, 05:54:53 AM
2CC09 New World Records
Code:
block  digits  miner       address                              origin
2044   131     anonymous   AJWaMGNiTzXaPPqYBeEATKEistd5uEFX9H   15746436948707162347681191092622506406480521554672382866529113365451686336191616303820985251295842020684640523576306336183730859560
5355   158     anonymous   AHeG75PkSDxutnzPx8YyZcWLiPW2nw8FbP   65004063504559525007738276505391185322137155270201199057971076511954045665048965173722209501026611156768988779138868408914387452650147975793533060274322762630

Quote
157464369487071623476811910...skipped...303820985251295842020684640523576306336 183730859560
063504559525007738276505311...skipped...877913886840894387452650147975793533060 274322762630
Sorry, but aren't prime numbers supposed to be odd?


Title: Re: [XPM] Primecoin Record Books
Post by: Melbustus on July 10, 2013, 05:57:49 AM


Block #2044 New World Record for 2CC09 (131 digits)
Block #5355 New World Record for 2CC09 (158 digits)




This is great. Pretty incredible that records have been found 2 days into this thing...


Title: Re: [XPM] Primecoin Record Books
Post by: Sunny King on July 10, 2013, 05:59:19 AM
Sorry, but aren't prime numbers supposed to be odd?

Yes that's why they are called origin, not prime. See my design paper or the bitcoin magazine article for the definition of prime chain origin.


Title: Re: [XPM] Primecoin Record Books
Post by: mhps on July 10, 2013, 07:43:54 AM
Super cool. I guess the record list will get very long because the record will be constantly broken.
Even I didn't break the record, maybe I still get to name the prime chain I find?  ;D


Title: Re: [XPM] Primecoin Record Books
Post by: hl5460 on July 10, 2013, 08:07:48 AM
I am thrilled to see the level of enthusiasms for primecoin in the mining market. I suspect maybe we already broke some world records but hadn't the time to fully research this. So I hope more of you can keep an eye on this and keep the record book updated  ;)

The Cunningham chain record book is presumably maintained by Dirk Augustin here:
http://users.cybercity.dk/~dsl522332/math/Cunningham_Chain_records.htm

The bi-twin chain record book is presumably maintained by Henri Lifchitz here:
http://www.primenumbers.net/Henri/fr-us/BiTwinRec.htm

Upon a quick examination I have found that 2CC09 is the first world record claimed by primecoin:


Block #2044 New World Record for 2CC09 (131 digits)
Block #5355 New World Record for 2CC09 (158 digits)


So for the miners of #2044 and #5355 please step up and give us a proof you are the miner and the name you would like to be written for the record book ;)

To look up if you are the lucky miner who mined a new world record you can go to help->debug window->console and type
validateaddress <record_holding_address>

If the validate shows 'ismine' as 'true' that means you own that address.

This is exciting even when I double check to confirm I am not the winner.
Only 3 days we made the record. Sunny is really innovative and contributing a lot to the community.
Bravo!


Title: Re: [XPM] Primecoin Record Books
Post by: n4ru on July 10, 2013, 08:15:38 AM
Top notch!


Title: Re: [XPM] Primecoin Record Books
Post by: RandyFolds on July 10, 2013, 08:37:04 AM
This is pretty rad. I am curious to see what probability tosses us!


Title: Re: [XPM] Primecoin Record Books
Post by: grc on July 10, 2013, 08:49:28 AM
Has it been confirmed that these are valid prime chains? If I'm not mistaken (please correct me if I am), primecoin only checks for probable primality.


Title: Re: [XPM] Primecoin Record Books
Post by: Mrko on July 10, 2013, 09:18:51 AM
Has it been confirmed that these are valid prime chains? If I'm not mistaken (please correct me if I am), primecoin only checks for probable primality.

Indeed. Nevertheless, great results for only 3 days of mining!


Title: Re: [XPM] Primecoin Record Books
Post by: 8bitPunk on July 10, 2013, 09:38:58 AM
Has it been confirmed that these are valid prime chains? If I'm not mistaken (please correct me if I am), primecoin only checks for probable primality.

I used Primeform (http://groups.yahoo.com/group/primeform) to test these primes - results below

Code:
15746436948707162347681191092622506406480521554672382866529113365451686336191616303820985251295842020684640523576306336183730859560 - Evaluator failed

Code:
65004063504559525007738276505391185322137155270201199057971076511954045665048965173722209501026611156768988779138868408914387452650147975793533060274322762630 is composite: [27F4F267A7BEF21D] (0.0014s+0.0004s)


Title: Re: [XPM] Primecoin Record Books
Post by: rethaw on July 10, 2013, 09:41:00 AM
Has it been confirmed that these are valid prime chains? If I'm not mistaken (please correct me if I am), primecoin only checks for probable primality.

I used Primeform (http://groups.yahoo.com/group/primeform) to test these primes - results below

Code:
15746436948707162347681191092622506406480521554672382866529113365451686336191616303820985251295842020684640523576306336183730859560 - Evaluator failed

Code:
65004063504559525007738276505391185322137155270201199057971076511954045665048965173722209501026611156768988779138868408914387452650147975793533060274322762630 is composite: [27F4F267A7BEF21D] (0.0014s+0.0004s)


You tested the centers, you need to test the chain results. In Sunny's paper it describes how to get them, or here:

http://en.wikipedia.org/wiki/Cunningham_chain


Title: Re: [XPM] Primecoin Record Books
Post by: 8bitPunk on July 10, 2013, 10:09:25 AM

You tested the centers, you need to test the chain results. In Sunny's paper it describes how to get them, or here:

http://en.wikipedia.org/wiki/Cunningham_chain

You are quite right. However, the first probable prime still fails.
The positive result is:
Code:
Primality testing 65004063504559525007738276505391185322137155270201199057971076511954045665048965173722209501026611156768988779138868408914387452650147975793533060274322762631 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 7
Running N+1 test using discriminant 19, base 1+sqrt(19)
Calling N-1 BLS with factored part 49.24% and helper 2.29% (150.19% proof)
65004063504559525007738276505391185322137155270201199057971076511954045665048965173722209501026611156768988779138868408914387452650147975793533060274322762631 is prime! (0.0250s+0.0033s)


Title: Re: [XPM] Primecoin Record Books
Post by: innovation on July 10, 2013, 10:22:48 AM
congrats!


Title: Re: [XPM] Primecoin Record Books
Post by: ManBearPig on July 10, 2013, 11:55:10 AM
This is great!


Title: Re: [XPM] Primecoin Record Books
Post by: BazkieBumpercar on July 10, 2013, 12:05:17 PM
Woot! Not sure it's me, I sent some stuff I mined on windows to my linux wallet and then destroyed the windows wallet :P

Anyway, very cool :D


Title: Re: [XPM] Primecoin Record Books
Post by: Tjopper on July 10, 2013, 12:10:15 PM
Impressive!
But not mine :S


Title: Re: [XPM] Primecoin Record Books
Post by: Kiaya on July 10, 2013, 12:21:40 PM
Amazing result. I was close - but no cigar.


Title: Re: [XPM] Primecoin Record Books
Post by: n4ru on July 10, 2013, 01:25:17 PM

You tested the centers, you need to test the chain results. In Sunny's paper it describes how to get them, or here:

http://en.wikipedia.org/wiki/Cunningham_chain

You are quite right. However, the first probable prime still fails.
The positive result is:
Code:
Primality testing 65004063504559525007738276505391185322137155270201199057971076511954045665048965173722209501026611156768988779138868408914387452650147975793533060274322762631 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 7
Running N+1 test using discriminant 19, base 1+sqrt(19)
Calling N-1 BLS with factored part 49.24% and helper 2.29% (150.19% proof)
65004063504559525007738276505391185322137155270201199057971076511954045665048965173722209501026611156768988779138868408914387452650147975793533060274322762631 is prime! (0.0250s+0.0033s)
does this mean it's not actually generating valid primes?


Title: Re: [XPM] Primecoin Record Books
Post by: Petr1fied on July 10, 2013, 02:39:41 PM
Both fail on #9 in my Block Crawler:

Block 2044 (http://primeblock.kicks-ass.net/block_crawler.php?block_hash=34d58bc5b46f4552eca14d7f7287b1a98aacf0fc3c086de8540319e489500e86)
Block 5355 (http://primeblock.kicks-ass.net/block_crawler.php?block_hash=d59779ba428a0086359f7c757bfa56e182ebcd8df25f8ac2da5d19b9eeb6f845)

Of course that is dependent of my code for generating the chain being correct. ;)


Title: Re: [XPM] Primecoin Record Books
Post by: Sunny King on July 10, 2013, 02:47:04 PM
Both fail on #9 in my Block Crawler:

Block 2044 (http://primeblock.kicks-ass.net/block_crawler.php?block_hash=34d58bc5b46f4552eca14d7f7287b1a98aacf0fc3c086de8540319e489500e86)
Block 5355 (http://primeblock.kicks-ass.net/block_crawler.php?block_hash=d59779ba428a0086359f7c757bfa56e182ebcd8df25f8ac2da5d19b9eeb6f845)

Of course that is dependent of my code for generating the chain being correct. ;)

You miss the first prime. The first prime is origin+1 for 2CC.


Title: Re: [XPM] Primecoin Record Books
Post by: Petr1fied on July 10, 2013, 02:57:18 PM
Both fail on #9 in my Block Crawler:

Block 2044 (http://primeblock.kicks-ass.net/block_crawler.php?block_hash=34d58bc5b46f4552eca14d7f7287b1a98aacf0fc3c086de8540319e489500e86)
Block 5355 (http://primeblock.kicks-ass.net/block_crawler.php?block_hash=d59779ba428a0086359f7c757bfa56e182ebcd8df25f8ac2da5d19b9eeb6f845)

Of course that is dependent of my code for generating the chain being correct. ;)

You miss the first prime. The first prime is origin+1 for 2CC.

Fixed. :D


Title: Re: [XPM] Primecoin Record Books
Post by: Vorksholk on July 10, 2013, 03:01:27 PM
Awesome! Not mine either, unfortunately.


Title: Re: [XPM] Primecoin Record Books
Post by: Sunny King on July 10, 2013, 03:01:56 PM
Good job Petrified! What primality test you are testing on your crawler?


Title: Re: [XPM] Primecoin Record Books
Post by: Petr1fied on July 10, 2013, 03:13:35 PM
It's a php function gmp_prob_prime (http://www.php.net/manual/en/function.gmp-prob-prime.php) which is part of the GMP (GNU Multiple Precision) extension. It uses Miller-Rabin's probabilistic test to check if a number is a prime.


Title: Re: [XPM] Primecoin Record Books
Post by: TheSeven on July 10, 2013, 07:54:05 PM
Hm, none of those are mine so far.


Title: Re: [XPM] Primecoin Record Books
Post by: 8bitPunk on July 11, 2013, 03:51:31 AM
Is block 2616's TWN8 chain with origin length of 111 digits (http://primeblock.kicks-ass.net/block_crawler.php?block_hash=cf81181ef81e2078c1e51a86bca414ba897c751adf0aa82ff2b5747bbd516932) interesting?

edit: Realized that no it wouldn't sit in the top 20 of 'BiTwin Records two links'

Bi-twin chain records only count even lengths. So we are waiting for the first TWN10 block (which is the bi-twin of 4 links)


Title: Re: [XPM] Primecoin Record Books
Post by: shakezula on July 11, 2013, 04:08:42 AM
This is AWESOME! Nice work Sunny, glad to have something new and substantial to mine. I love CPU only and hope it stays that way for awhile.


Title: Re: [XPM] Primecoin Record Books
Post by: maco on July 11, 2013, 04:10:35 AM
Congrats!


Title: Re: [XPM] Primecoin Record Books
Post by: Lauda on July 11, 2013, 07:20:27 AM
Nice!


Title: Re: [XPM] Primecoin Record Books
Post by: hashman on July 11, 2013, 09:03:58 AM

You tested the centers, you need to test the chain results. In Sunny's paper it describes how to get them, or here:

http://en.wikipedia.org/wiki/Cunningham_chain

You are quite right. However, the first probable prime still fails.
The positive result is:
Code:
Primality testing 65004063504559525007738276505391185322137155270201199057971076511954045665048965173722209501026611156768988779138868408914387452650147975793533060274322762631 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 7
Running N+1 test using discriminant 19, base 1+sqrt(19)
Calling N-1 BLS with factored part 49.24% and helper 2.29% (150.19% proof)
65004063504559525007738276505391185322137155270201199057971076511954045665048965173722209501026611156768988779138868408914387452650147975793533060274322762631 is prime! (0.0250s+0.0033s)
does this mean it's not actually generating valid primes?

As I understand the primecoin paper, it accepts pseudoprimes for making a block..  as a true check of primality would take too long for nodes to verify.   



Title: Re: [XPM] Primecoin Record Books
Post by: Aggrophobia on July 11, 2013, 08:50:23 PM
any new records?


Title: Re: [XPM] Primecoin Record Books
Post by: Clark on July 11, 2013, 10:38:39 PM
It looks like block 1592 has enough digits to take second place on the CC9, 1st kind.

Block 1592: 1CC09, 125 digits


Title: Re: [XPM] Primecoin Record Books
Post by: rethaw on July 12, 2013, 07:33:43 AM
This is the python script I'm using to poll for record breakers.

EDIT: Use Clark's script below.


Title: Re: [XPM] Primecoin Record Books
Post by: keenanpepper on July 12, 2013, 07:53:59 AM
Has it been confirmed that these are valid prime chains? If I'm not mistaken (please correct me if I am), primecoin only checks for probable primality.

You're absolutely right. I'm in the process of checking all these primes with GMP-ECPP (http://gmp-ecpp.sourceforge.net/). I'd be really surprised if any were composite (because "probable prime" means 1 in a zillion chance of being composite), but it can't hurt to check. BTW, if anyone knows a faster primality certificate generator, I'd love to hear about it.


Title: Re: [XPM] Primecoin Record Books
Post by: achillez on July 12, 2013, 07:55:23 AM
this is very cool :)


Title: Re: [XPM] Primecoin Record Books
Post by: Lauda on July 12, 2013, 08:47:40 AM
Just ran those checks they aren't mine  ;)


Title: Re: [XPM] Primecoin Record Books
Post by: keenanpepper on July 12, 2013, 09:36:43 AM
The 9 numbers 1574643694870716234768119109262250640648052155467238286652911336545168633619161 6303820985251295842020684640523576306336183730859560 * 2^n + 1, 0 <= n <= 8 are all actually prime (according to GMP-ECPP).

Now onto the ones from block 5355...


Title: Re: [XPM] Primecoin Record Books
Post by: rabit on July 12, 2013, 09:56:49 AM
The 9 numbers 1574643694870716234768119109262250640648052155467238286652911336545168633619161 6303820985251295842020684640523576306336183730859560 * 2^n + 1, 0 <= n <= 8 are all actually prime (according to GMP-ECPP).

Now onto the ones from block 5355...

I verified both chains using ECPP in MAGMA.


Title: Re: [XPM] Primecoin Record Books
Post by: Clark on July 12, 2013, 03:24:34 PM
My Python code :-)

This needs to be updated to include the Twin Prime record lengths. I wan't able to decipher the Twin Prime records website for lengths, but there's not much modification required.

The code will run through the entire block chain on the first run then save the results to a text file. Subsequent runs will simply check all blocks since the previous run.

Note this code uses ServiceProxy, which is available from the Bitcoin wiki.

Edit: The chain code comes out in hexadecimal, so a 10-length chain is 1CC0a, for instance.

Code:
from jsonrpc import ServiceProxy

import time, json

USER = '<user>'
PASS = '<pass>'
PORT = 9912


fname = 'worldrecords.txt'

# Searching for new world records

def main():
ip = '127.0.0.1'
addy = 'http://%s:%s@%s:%i' % (USER,PASS,ip,PORT)
p = ServiceProxy(addy)

# http://users.cybercity.dk/~dsl522332/math/Cunningham_Chain_records.htm

records = {
'1CC06':633,
'2CC06':475,
'1CC07':356,
'2CC07':251,
'1CC08':186,
'2CC08':224,
'1CC09':185,
'2CC09':111,
'1CC0a':99,
'2CC0a':109,
'1CC0b':50,
'2CC0b':63,
'1CC0c':42,
'2CC0c':62,
'1CC0d':39,
'2CC0d':33,
'1CC0e':25,
'2CC0e':33,
'1CC0f':24,
'2CC0f':32,
}

primecoin = {}

data = {}

try:
with open(fname, 'r') as f:
data = json.load(f)
except:
pass

blk = 1

if 'block' in data:
blk = data['block']

if 'records' in data:
records = data['records']

if 'primecoin' in data:
primecoin = data['primecoin']

info = p.getinfo()
height = info['blocks']

while blk <= height:
hsh = p.getblockhash(blk)
block = p.getblock(hsh)

chain = block['primechain'].split('.')[0]
chainlength = int(chain[3:5],16)
origin = block['primeorigin']
digits = len(origin)

if chain in records:
if digits > records[chain]:
print('New World Record!\n Block %i, Chain %s, %i digits (previously %i digits)\n' %
(blk, chain, digits, records[chain]))
records[chain] = digits
primecoin[chain] = digits
else:
if chain not in primecoin:
primecoin[chain] = digits
print('New Chain Type: %s, Block %i, %i digits' % (chain, blk, digits))
elif digits > primecoin[chain]:
primecoin[chain] = digits
print('New Primecoin record: %s, %i digits, Block %i' %
(chain, digits, blk))

blk += 1

data = {
'records': records,
'primecoin': primecoin,
'block': blk
}

with open(fname, 'w') as f:
json.dump(data, f)

print('\n\nCurrent Records')
for chain in records:
print(' %s: %4i' % (chain, records[chain]))

print('\n\nPrimecoin Records')
for chain in primecoin:
print(' %s: %4i' % (chain, primecoin[chain]))

if __name__ == '__main__':
main()


Title: Re: [XPM] Primecoin Record Books
Post by: Clark on July 12, 2013, 04:10:14 PM
We found our first length-10 chain at block 17937, type 1CC0a, 86 digits. Then we bested it at Block 21362, 96 digits.

World record is 99 digits, but both of these chains are good enough to knock out the existing 2nd and 3rd place chains on the books:

Code:
CC10, 1st kind:
---------------
1324846487162*223#-1, 99 digits, 05/09, Augustin(NewPGen/PFGW)
3462418*151#+5286829397849, 66 digits, 05/04, Alm/Andersen(Primo)
9440733252109*127#-1, 62 digits, 11/08, Augustin(NewPGen/PFGW)


Title: Re: [XPM] Primecoin Record Books
Post by: RandyFolds on July 12, 2013, 10:17:39 PM
We found our first length-10 chain at block 17937, type 1CC0a, 86 digits. Then we bested it at Block 21362, 96 digits.

World record is 99 digits, but both of these chains are good enough to knock out the existing 2nd and 3rd place chains on the books:

Code:
CC10, 1st kind:
---------------
1324846487162*223#-1, 99 digits, 05/09, Augustin(NewPGen/PFGW)
3462418*151#+5286829397849, 66 digits, 05/04, Alm/Andersen(Primo)
9440733252109*127#-1, 62 digits, 11/08, Augustin(NewPGen/PFGW)

Now that...that is friggin' rad.


Title: Re: [XPM] Primecoin Record Books
Post by: Lauda on July 12, 2013, 10:22:55 PM
We found our first length-10 chain at block 17937, type 1CC0a, 86 digits. Then we bested it at Block 21362, 96 digits.

World record is 99 digits, but both of these chains are good enough to knock out the existing 2nd and 3rd place chains on the books:

Code:
CC10, 1st kind:
---------------
1324846487162*223#-1, 99 digits, 05/09, Augustin(NewPGen/PFGW)
3462418*151#+5286829397849, 66 digits, 05/04, Alm/Andersen(Primo)
9440733252109*127#-1, 62 digits, 11/08, Augustin(NewPGen/PFGW)
Lol nice.
Soon world record?


Title: Re: [XPM] Primecoin Record Books
Post by: Koooooj on July 13, 2013, 01:44:17 AM
If I am not mistaken, Block 12344 contains a notable bi-twin chain.  The origin is 107 digits long and it is a chain of 3 links (i.e. 8 primes).  It is not a world record, but would be 4th on the list of chains of 3 links.  I was the miner of this block and would be willing to demonstrate ownership of the coins.

Edit:  It would appear that block 17302 also contains a (somewhat less) notable bi-twin chain.  It is only 97 digits long, but also contains 3 links.  As with the other, I am the miner and would be willing to show ownership.


Title: Re: [XPM] Primecoin Record Books
Post by: AgentME on July 13, 2013, 01:49:17 AM
If I am not mistaken, Block 12344 contains a notable bi-twin chain.  The origin is 107 digits long and it is a chain of 3 links (i.e. 8 primes).  It is not a world record, but would be 4th on the list of chains of 3 links.  I was the miner of this block and would be willing to demonstrate ownership of the coins.
You can verify you own an address with the signmessage command:
Code:
primecoind signmessage addresshere "Koooooj owns this address"
and posting the address, message, and signature.

(I think you could run that in the debug console too, just omit the primecoind part at the start. Or is there just a UI to this feature? I'm not using the QT client.)


Title: Re: [XPM] Primecoin Record Books
Post by: r3wt on July 13, 2013, 01:51:57 AM
this is all very cool, but i fail to see the need for prime numbers this large, other than so you can brag about the record to your fellow nerds of course.


Title: Re: [XPM] Primecoin Record Books
Post by: AgentME on July 13, 2013, 01:57:31 AM
this is all very cool, but i fail to see the need for prime numbers this large, other than so you can brag about the record to your fellow nerds of course.
(These aren't particularly large for prime numbers. They're big  for prime number chains.) Some mathematicians may find this data useful. That's already infinitely more valuable than the results of bitcoin's sha256 / litecoin's scrypt random proof-of-work statements outside of the context of the currency.


Title: Re: [XPM] Primecoin Record Books
Post by: r3wt on July 13, 2013, 02:02:20 AM
this is all very cool, but i fail to see the need for prime numbers this large, other than so you can brag about the record to your fellow nerds of course.
(These aren't particularly large for prime numbers. They're big  for prime number chains.) Some mathematicians may find this data useful. That's already infinitely more valuable than the results of bitcoin's sha256 / litecoin's scrypt random proof-of-work statements outside of the context of the currency.

good point, however i disagree that they are "infinitely more valuable". XPM(prime) has scientific value(which in my mind is debatable, but then again i'm no mathematician) and sha and scrypt has security(proven until its broken) seems like an apples and oranges argument to me.


Title: Re: [XPM] Primecoin Record Books
Post by: Koooooj on July 13, 2013, 02:06:25 AM
For block 12344:

Code:
20:58:10
signmessage APLLrWbHapoRVxLAxBUkDU1hkx4VbCJHQX "Koooooj owns this address"

20:58:10
IBBD3qd/bbh5npcj7pEQCBqZUwiYaaE/y097+P0EBeB5fH4eJCqvNzrxzm20P6kWFq/0wmp0cZQTHk78cpfaYbM=

For block 17302:

Code:
21:00:27
signmessage AbrPM2J3WLvgz87t13wU46VwvVW5dM1Vdq "Koooooj owns this address"

21:00:27
IH8dQ+I2e4WWZIpXbqhXrquLXMnNdx847+HUeuadcqyeB77XPe3tmN2bG/FdOPZv7id9Q0eMuQ4UO7iBaq0wUf0=

I think I got the right blocks and signed correctly; my local QT client returns true upon verification requests.


Title: Re: [XPM] Primecoin Record Books
Post by: AgentME on July 13, 2013, 02:08:27 AM
this is all very cool, but i fail to see the need for prime numbers this large, other than so you can brag about the record to your fellow nerds of course.
(These aren't particularly large for prime numbers. They're big  for prime number chains.) Some mathematicians may find this data useful. That's already infinitely more valuable than the results of bitcoin's sha256 / litecoin's scrypt random proof-of-work statements outside of the context of the currency.

good point, however i disagree that they are "infinitely more valuable". one has scientific value(which in my mind is debatable) and one has security(proven until its broken.) seems like an apples and oranges argument to me.
Primecoin's has both.

I find it a bit disappointing that for all of the extreme amounts of computational power that goes into Bitcoin's blockchain, all we get is a verification of the latest block. There's no interesting analysis possible of the proof-of-work statements. Primecoin at least doubles as an enormously huge chain of mildly interesting computations.


Title: Re: [XPM] Primecoin Record Books
Post by: r3wt on July 13, 2013, 02:10:54 AM
this is all very cool, but i fail to see the need for prime numbers this large, other than so you can brag about the record to your fellow nerds of course.
(These aren't particularly large for prime numbers. They're big  for prime number chains.) Some mathematicians may find this data useful. That's already infinitely more valuable than the results of bitcoin's sha256 / litecoin's scrypt random proof-of-work statements outside of the context of the currency.

good point, however i disagree that they are "infinitely more valuable". one has scientific value(which in my mind is debatable) and one has security(proven until its broken.) seems like an apples and oranges argument to me.
Primecoin's has both.

I find it a bit disappointing that for all of the extreme amounts of computational power that goes into Bitcoin's blockchain, all we get is a verification of the latest block. There's no interesting analysis possible of the proof-of-work statements. Primecoin at least doubles as an enormously huge chain of mildly interesting computations.

quick, lets make UFO coin. every signal decrypted and processed is a block. first person who decrypts it a processes is rewarded the block. now we have another scientific coin. see where i'm going with this? you know, at first i was being facetious but you just might have sold me. maybe scientific computations offered by prime and any future coins like it could offer a pseudo-backing for the currency, much in the way that physical gold and silver once backed physical paper money


Title: Re: [XPM] Primecoin Record Books
Post by: AgentME on July 13, 2013, 02:17:35 AM
For block 12344:

Code:
20:58:10
signmessage APLLrWbHapoRVxLAxBUkDU1hkx4VbCJHQX "Koooooj owns this address"

20:58:10
IBBD3qd/bbh5npcj7pEQCBqZUwiYaaE/y097+P0EBeB5fH4eJCqvNzrxzm20P6kWFq/0wmp0cZQTHk78cpfaYbM=

For block 17302:

Code:
21:00:27
signmessage AbrPM2J3WLvgz87t13wU46VwvVW5dM1Vdq "Koooooj owns this address"

21:00:27
IH8dQ+I2e4WWZIpXbqhXrquLXMnNdx847+HUeuadcqyeB77XPe3tmN2bG/FdOPZv7id9Q0eMuQ4UO7iBaq0wUf0=

I think I got the right blocks and signed correctly; my local QT client returns true upon verification requests.
All of that verifies for me.

Primecoin's has both.

I find it a bit disappointing that for all of the extreme amounts of computational power that goes into Bitcoin's blockchain, all we get is a verification of the latest block. There's no interesting analysis possible of the proof-of-work statements. Primecoin at least doubles as an enormously huge chain of mildly interesting computations.

quick, lets make UFO coin. every signal decrypted and processed is a block. first person who decrypts it a processes is rewarded the block. now we have another scientific coin. see where i'm going with this? you know, at first i was being facetious but you just might have sold me. maybe scientific computations offered by prime and any future coins like it could offer a pseudo-backing for the currency, much in the way that physical gold and silver once backed physical paper money
Doing analysis of external datasets would be a bit difficult to accomplish in a decentralized cryptocurrency, and the work has to be extremely quick to verify that it's correct, so many types of computations are out of reach sadly.


Title: Re: [XPM] Primecoin Record Books
Post by: Koooooj on July 13, 2013, 02:46:22 AM
Also, block 1509, which is a bi-twin chain of 3 links and has an origin of 106 digits:

Code:
21:44:59
signmessage ASNg61dJ8vJPUQ9NvFaajX4qSvShPQxKeg "Koooooj owns this address"

21:44:59
H138sg1WvaZridL9Mozc1fFS59fByVkR5EW8pcuBNFHb6MsjjyK0z3noqmAjiY1jOvCfwtTTZyjZtaJvNk80jHc=


Title: Re: [XPM] Primecoin Record Books
Post by: Clark on July 13, 2013, 03:31:54 AM
Looks like block 25180 contains a new world record for 1CC10: 100 digits.


Title: Re: [XPM] Primecoin Record Books
Post by: Lauda on July 13, 2013, 06:51:56 AM
Looks like block 25180 contains a new world record for 1CC10: 100 digits.
Are you sure? Did you check this  :o


Title: Re: [XPM] Primecoin Record Books
Post by: r3wt on July 13, 2013, 06:59:15 AM
Looks like block 25180 contains a new world record for 1CC10: 100 digits.
Are you sure? Did you check this  :o

Clark seems to be on his game when it comes to prime chains. For now we take his word. i'm sure he will be here with proof sooner or later.


Title: Re: [XPM] Primecoin Record Books
Post by: AgentME on July 13, 2013, 09:03:31 AM
Looks like block 25180 contains a new world record for 1CC10: 100 digits.
Are you sure? Did you check this  :o

Clark seems to be on his game when it comes to prime chains. For now we take his word. i'm sure he will be here with proof sooner or later.
If you run "primecoind getblockhash 25180" and then "primecoind getblock hash", then you can see it yourself.


Title: Re: [XPM] Primecoin Record Books
Post by: tyrion70 on July 13, 2013, 09:03:45 AM
Clark,

I get an error halfway your script (great script btw!!)

Code:
New Primecoin record: TWN08, 172 digits, Block 11900
Traceback (most recent call last):
  File "records.py", line 112, in <module>
    main()
  File "records.py", line 73, in main
    chainlength = int(chain[3:5])
ValueError: invalid literal for int() with base 10: '0a'

Any idea whats wrong?


Title: Re: [XPM] Primecoin Record Books
Post by: AgentME on July 13, 2013, 09:04:53 AM
Clark,

I get an error halfway your script (great script btw!!)

Code:
New Primecoin record: TWN08, 172 digits, Block 11900
Traceback (most recent call last):
  File "records.py", line 112, in <module>
    main()
  File "records.py", line 73, in main
    chainlength = int(chain[3:5])
ValueError: invalid literal for int() with base 10: '0a'

Any idea whats wrong?
The value is in base 16. Change "int(chain[3:5])" to "int(chain[3:5], 16)".


Title: Re: [XPM] Primecoin Record Books
Post by: tyrion70 on July 13, 2013, 09:20:03 AM
Clark,

I get an error halfway your script (great script btw!!)

Code:
New Primecoin record: TWN08, 172 digits, Block 11900
Traceback (most recent call last):
  File "records.py", line 112, in <module>
    main()
  File "records.py", line 73, in main
    chainlength = int(chain[3:5])
ValueError: invalid literal for int() with base 10: '0a'

Any idea whats wrong?
The value is in base 16. Change "int(chain[3:5])" to "int(chain[3:5], 16)".

Check! That was it, thanks!


Title: Re: [XPM] Primecoin Record Books
Post by: vingaard on July 13, 2013, 09:33:36 AM
One question...

This means that I have a record?

http://img707.imageshack.us/img707/307/hq0o.jpg (http://imageshack.us/photo/my-images/707/hq0o.jpg/)

Uploaded with ImageShack.us (http://imageshack.us)

Thanks in advance  ;D


Title: Re: [XPM] Primecoin Record Books
Post by: r3wt on July 13, 2013, 09:46:47 AM
One question...

This means that I have a record?

http://anonymouse.org/cgi-bin/anon-www.cgi/http://img707.imageshack.us/img707/307/hq0o.jpg (http://imageshack.us/photo/my-images/707/hq0o.jpg/)

Uploaded with ImageShack.us (http://imageshack.us)

Thanks in advance  ;D

according to the trolls in the cryptsy chatbox, primechains are only pseudo mathematics and have no use in the real world, so don't get your hopes up i guess. me i think that prime numbers serve some type of purpose. what it is? i have no idea


Title: Re: [XPM] Primecoin Record Books
Post by: AgentME on July 13, 2013, 10:30:35 AM
One question...

This means that I have a record?

[image]

Uploaded with ImageShack.us (http://imageshack.us)

Thanks in advance  ;D
Which record is that supposed to be for?

Also, see this for the real way to verify you own an address:
If I am not mistaken, Block 12344 contains a notable bi-twin chain.  The origin is 107 digits long and it is a chain of 3 links (i.e. 8 primes).  It is not a world record, but would be 4th on the list of chains of 3 links.  I was the miner of this block and would be willing to demonstrate ownership of the coins.
You can verify you own an address with the signmessage command:
Code:
primecoind signmessage addresshere "Koooooj owns this address"
and posting the address, message, and signature.

(I think you could run that in the debug console too, just omit the primecoind part at the start. Or is there just a UI to this feature? I'm not using the QT client.)


Title: Re: [XPM] Primecoin Record Books
Post by: vingaard on July 13, 2013, 10:43:41 AM
Ok...

Is this what I have to send?

Code:
signmessage ANi7JgdfT2HSdTxB8T8sAnVwfDuRFxJeRg "Koooooj owns this address"

H1mJljsMaxVEXbfbnuNACzgVekgqYlEqJr2pljzJU+YfwnaKi35l4Q1+/2bh2iPNND1rA3ID3Jfkz+L5M0oiB70=



Title: Re: [XPM] Primecoin Record Books
Post by: AgentME on July 13, 2013, 10:48:30 AM
Ok...

Is this what I have to send?

Code:
signmessage ANi7JgdfT2HSdTxB8T8sAnVwfDuRFxJeRg "Koooooj owns this address"

H1mJljsMaxVEXbfbnuNACzgVekgqYlEqJr2pljzJU+YfwnaKi35l4Q1+/2bh2iPNND1rA3ID3Jfkz+L5M0oiB70=
You probably want to put your own name there. Also, did that address generate a noteworthy block?


Title: Re: [XPM] Primecoin Record Books
Post by: vingaard on July 13, 2013, 10:53:46 AM
Ok...

Is this what I have to send?

Code:
signmessage ANi7JgdfT2HSdTxB8T8sAnVwfDuRFxJeRg "Koooooj owns this address"

H1mJljsMaxVEXbfbnuNACzgVekgqYlEqJr2pljzJU+YfwnaKi35l4Q1+/2bh2iPNND1rA3ID3Jfkz+L5M0oiB70=
You probably want to put your own name there. Also, did that address generate a noteworthy block?


jajajajajaajaj

OMG... I send it by mistake... I will send another time...  ;D

Code:
signmessage ANi7JgdfT2HSdTxB8T8sAnVwfDuRFxJeRg "Im sorry for previous message... Vingaard owns this Address"

H2nafwsDQCtN95R+y2LJLQ8EEgDZGjAzF6Juz1qut1k9Miqf528N97vIwi0ed5kL7uVrU340Jk1bh/M9Eq3dmAE=


Title: Re: [XPM] Primecoin Record Books
Post by: Lauda on July 13, 2013, 04:43:00 PM

according to the trolls in the cryptsy chatbox, primechains are only pseudo mathematics and have no use in the real world, so don't get your hopes up i guess. me i think that prime numbers serve some type of purpose. what it is? i have no idea
Well you'd expect that coming from people who support other coins, as always.. when they don't understand or aren't invested in something they bash and troll it.
Anyways they are usefull for some mathematicians, I belive only a few use such huge primes, that's what I've found out a while ago..


jajajajajaajaj

OMG... I send it by mistake... I will send another time...  ;D

Code:
signmessage ANi7JgdfT2HSdTxB8T8sAnVwfDuRFxJeRg "Im sorry for previous message... Vingaard owns this Address"

H2nafwsDQCtN95R+y2LJLQ8EEgDZGjAzF6Juz1qut1k9Miqf528N97vIwi0ed5kL7uVrU340Jk1bh/M9Eq3dmAE=
You might want to sign with your real name, if you want to be a record holder rather than a forum username. That's what I would do at-least ;)


Title: Re: [XPM] Primecoin Record Books
Post by: vingaard on July 13, 2013, 05:11:28 PM

according to the trolls in the cryptsy chatbox, primechains are only pseudo mathematics and have no use in the real world, so don't get your hopes up i guess. me i think that prime numbers serve some type of purpose. what it is? i have no idea
Well you'd expect that coming from people who support other coins, as always.. when they don't understand or aren't invested in something they bash and troll it.
Anyways they are usefull for some mathematicians, I belive only a few use such huge primes, that's what I've found out a while ago..


jajajajajaajaj

OMG... I send it by mistake... I will send another time...  ;D

Code:
signmessage ANi7JgdfT2HSdTxB8T8sAnVwfDuRFxJeRg "Im sorry for previous message... Vingaard owns this Address"

H2nafwsDQCtN95R+y2LJLQ8EEgDZGjAzF6Juz1qut1k9Miqf528N97vIwi0ed5kL7uVrU340Jk1bh/M9Eq3dmAE=
You might want to sign with your real name, if you want to be a record holder rather than a forum username. That's what I would do at-least ;)

Yeah...

I though that after send my second message, so I sent a third message with my real name (I don't know if I have to put this message in this post as well)...

I'm so sorry for all the inconveniences I have done with this matter... I don't know what happen to me today... I'm usually not so silly... perhaps the meal?  :-\

Anyway... Have I do anything else?

Thank you


Title: Re: [XPM] Primecoin Record Books
Post by: Koooooj on July 13, 2013, 06:13:08 PM
Ok...

Is this what I have to send?

Code:
signmessage ANi7JgdfT2HSdTxB8T8sAnVwfDuRFxJeRg "Koooooj owns this address"

H1mJljsMaxVEXbfbnuNACzgVekgqYlEqJr2pljzJU+YfwnaKi35l4Q1+/2bh2iPNND1rA3ID3Jfkz+L5M0oiB70=



I would like to claim this record as well.  As you can clearly see, I have signed the message stating my ownership.  I... uh.... just logged into my other account, or something.  ;)

In all seriousness, though, congrats on the find!


Title: Re: [XPM] Primecoin Record Books
Post by: vingaard on July 13, 2013, 06:19:13 PM
Ok...

Is this what I have to send?

Code:
signmessage ANi7JgdfT2HSdTxB8T8sAnVwfDuRFxJeRg "Koooooj owns this address"

H1mJljsMaxVEXbfbnuNACzgVekgqYlEqJr2pljzJU+YfwnaKi35l4Q1+/2bh2iPNND1rA3ID3Jfkz+L5M0oiB70=



I would like to claim this record as well.  As you can clearly see, I have signed the message stating my ownership.  I... uh.... just logged into my other account, or something.  ;)

In all seriousness, though, congrats on the find!

jajajaja... so... are you whom I almost gift "the record"?... jajajaja...

Really... my mother said me when I was child... "you have to read everything twice before signing"... but... as you can see I never do what my mother say (so I am a total foolish  ;D )

Anyway... A pleasure to meet you


Title: Re: [XPM] Primecoin Record Books
Post by: Lauda on July 13, 2013, 07:11:49 PM
Ok...

Is this what I have to send?

Code:
signmessage ANi7JgdfT2HSdTxB8T8sAnVwfDuRFxJeRg "Koooooj owns this address"

H1mJljsMaxVEXbfbnuNACzgVekgqYlEqJr2pljzJU+YfwnaKi35l4Q1+/2bh2iPNND1rA3ID3Jfkz+L5M0oiB70=



I would like to claim this record as well.  As you can clearly see, I have signed the message stating my ownership.  I... uh.... just logged into my other account, or something.  ;)

In all seriousness, though, congrats on the find!
Well sign it something like "[real name] - [username] on btctalk".
So people can assign a real person to the record and we know who you are on here  ;)
Just suggesting.


Title: Re: [XPM] Primecoin Record Books
Post by: rabit on July 13, 2013, 07:13:28 PM

according to the trolls in the cryptsy chatbox, primechains are only pseudo mathematics and have no use in the real world, so don't get your hopes up i guess. me i think that prime numbers serve some type of purpose. what it is? i have no idea
Well you'd expect that coming from people who support other coins, as always.. when they don't understand or aren't invested in something they bash and troll it.
Anyways they are usefull for some mathematicians, I belive only a few use such huge primes, that's what I've found out a while ago..


The CC chains have even "real" world use as you can create "Auto-Recoverable and Auto-Certifiable Cryptosystems" with them. This are public key infrastructures with the capability of recovering the private key by authorities cooperating with the certification authority. In other words crypto-system which LE agencies are able to decrypt but not some other attacker. I´m sure every state would love if people would start using such systems :D
From a more mathematical stand point this data has also value as there are still many open questions in this area like e.g. if there are infinitely many chains of a given length and the distribution of such chains in the set of all primes. This data could be used for verifying conjectures in this area.

By the way Sunny, how do you have choosen the difficulty algorithm, did you used the Hardy–Littlewood conjecture?


Title: Re: [XPM] Primecoin Record Books
Post by: Zalfrin on July 13, 2013, 07:14:26 PM
These signed messages don't get sent out to the network... All you are doing is proving that you own the address. The message contents are irrelevant, it's just convenient to include your username in it. So no need to be concerned about your 1st and 2nd signed messages.


Title: Re: [XPM] Primecoin Record Books
Post by: Clark on July 13, 2013, 08:31:44 PM
If I'm not mistaken, Block 28769 contains the new world record for BiTwin of four links (10 primes / TWN0a), 100 digits.

Also, the BiTwin primes listed on the records contain only even numbers of primes, yet our mining uncovers chains like TWN07, TWN09, etc. How are these defined? Do they count toward official records?


Title: Re: [XPM] Primecoin Record Books
Post by: Clark on July 13, 2013, 08:51:17 PM
I have updated my records search script to include BiTwin chains. Please note that initial runs will show lots of 'world records' for TWN07. See my previous post for resolution.

Script output is a lot cleaner when printing the records:

Code:
=== Current Records ===

       1CC    2CC    TWN

 06    633    475    399
 07    356    251   *268
 08    186    224    177
 09    185   *158   *121
 10   *100    109   *100
 11     50     63     --
 12     42     62     47
 13     39     33     --
 14     25     33     29
 15     24     32     --
 16     23     28     24
 17     22     25     --
 18     --     --     24
 19     --     --     --

*Found by Primecoin network

Code:
from jsonrpc import ServiceProxy

import json

USER = '<user>'
PASS = '<pass>'
PORT = 9912


fname = 'worldrecords.txt'

# Searching for new world records

def main():
ip = '127.0.0.1'
addy = 'http://%s:%s@%s:%i' % (USER,PASS,ip,PORT)
p = ServiceProxy(addy)

# http://users.cybercity.dk/~dsl522332/math/Cunningham_Chain_records.htm
# http://www.primenumbers.net/Henri/fr-us/BiTwinRec.htm

records = {
# Length 6
'1CC06':{
'digits':633,
'block':None
},
'2CC06':{
'digits':475,
'block':None
},
# BiTwin chain of 6 primes, 2 links
'TWN06':{
'digits':399,
'block':None
},
# Length 7
'1CC07':{
'digits':356,
'block':None
},
'2CC07':{
'digits':251,
'block':None
},
# Length 8
'1CC08':{
'digits':186,
'block':None
},
'2CC08':{
'digits':224,
'block':None
},
# BiTwin chain of 8 primes, 3 links
'TWN08':{
'digits':177,
'block':None
},
# Length 9
'1CC09':{
'digits':185,
'block':None
},
'2CC09':{
'digits':111,
'block':None
},
# Length 10
'1CC0a':{
'digits':99,
'block':None
},
'2CC0a':{
'digits':109,
'block':None
},
# BiTwin chain of 10 primes, 4 links
'TWN0a':{
'digits':92,
'block':None
},
# Length 11
'1CC0b':{
'digits':50,
'block':None
},
'2CC0b':{
'digits':63,
'block':None
},
# Length 12
'1CC0c':{
'digits':42,
'block':None
},
'2CC0c':{
'digits':62,
'block':None
},
# BiTwin chain of 12 primes, 5 links
'TWN0c':{
'digits':47,
'block':None
},
# Length 13
'1CC0d':{
'digits':39,
'block':None
},
'2CC0d':{
'digits':33,
'block':None
},
# Length 14
'1CC0e':{
'digits':25,
'block':None
},
'2CC0e':{
'digits':33,
'block':None
},
# BiTwin chain of 14 primes, 6 links
'TWN0e':{
'digits':29,
'block':None
},
# Length 15
'1CC0f':{
'digits':24,
'block':None
},
'2CC0f':{
'digits':32,
'block':None
},
# Length 16
'1CC10':{
'digits':23,
'block':None
},
'2CC10':{
'digits':28,
'block':None
},
# BiTwin chain of 16 primes, 7 links
'TWN10':{
'digits':24,
'block':None
},
# Length 17
'1CC11':{
'digits':22,
'block':None
},
'2CC11':{
'digits':25,
'block':None
},
# Length 18
'1CC12':{
'digits':None,
'block':None
},
'2CC12':{
'digits':None,
'block':None
},
# BiTwin chain of 18 primes, 8 links
'TWN12':{
'digits':24,
'block':None
}
}

data = {}

try:
with open(fname, 'r') as f:
data = json.load(f)
except:
pass

height = 1

if 'height' in data:
height = data['height']

if 'records' in data:
records = data['records']

blockHash = p.getblockhash(height)
block = p.getblock(blockHash)

while 'nextblockhash' in block:
chain = block['primechain'].split('.')[0]
chainlength = 0
try:
chainlength = int(chain[3:5],16)
except:
print('Error with chain: %s, Block %i' % (chain,block['height']))
origin = block['primeorigin']
digits = len(origin)
height = block['height']

if chain in records:
if digits > records[chain]['digits']:
print('New World Record!')
print(' Block %i, Chain %s (%i primes), %i digits' %
(height, chain, chainlength, digits))
if records[chain]['block'] is not None:
print(' *Previous record held by Primecoin, Block %i' %
(records[chain]['block'],))
print(' Previous record: %i digits' % (records[chain]['digits']))
records[chain]['digits'] = digits
records[chain]['block'] = height
else:
print('New Chain Type: %s, Block %i, %i digits' %
(chain, height, digits))
records[chain] = {
'digits':digits,
'block': height
}

block = p.getblock(block['nextblockhash'])

print('End of block chain reached.')

data = {
'records': records,
'height': block['height']
}

with open(fname, 'w') as f:
json.dump(data, f)

print('\n\n=== Current Records ===\n')
types = ['1CC', '2CC', 'TWN']
s = '   '
for t in types:
s = '%s%7s' % (s, t)
print('%s\n' % (s,))
for i in range(6,20):
s = ' %.2i' % (i,)
for t in types:
chain = '%s%s' % (t,hex(i)[2:].zfill(2))
if chain not in records or records[chain]['digits'] is None:
s = '%s%7s' % (s,'--')
else:
if records[chain]['block'] is not None:
s = '%s%7s' % (s, ('*%i' % (records[chain]['digits'])).rjust(7))
else:
s = '%s%7i' % (s, records[chain]['digits'])
print(s)
print('\n*Found by Primecoin network\n')

if __name__ == '__main__':
main()


Title: Re: [XPM] Primecoin Record Books
Post by: Koooooj on July 13, 2013, 10:24:52 PM
If I'm not mistaken, Block 28769 contains the new world record for BiTwin of four links (10 primes / TWN0a), 100 digits.

Also, the BiTwin primes listed on the records contain only even numbers of primes, yet our mining uncovers chains like TWN07, TWN09, etc. How are these defined? Do they count toward official records?

Odd numbered twin prime chains are defined as having only half of the final pair.  I doubt the record books would care about the final pair, since it's a prime and a composite, so TWN07 is really a TWN06 and TWN09 is just TWN08.  The odd numbered chains work just fine as a proof of work, though, and seem to behave nicely as far as difficulty is concerned.


Title: Re: [XPM] Primecoin Record Books
Post by: bonez565 on July 14, 2013, 07:04:51 PM
Have there been any other record holding blocks found with the new jump in difficulty?


Title: Re: [XPM] Primecoin Record Books
Post by: gateway on July 14, 2013, 07:10:47 PM
How do you go about figuring out if its a new record? Is there a list that someone compares against known primes?


Title: Re: [XPM] Primecoin Record Books
Post by: rethaw on July 14, 2013, 07:50:18 PM
How do you go about figuring out if its a new record? Is there a list that someone compares against known primes?

In the OP Sunny provides a few places where they are listed. Would love to see someone make a nicer prime chain records site.


Title: Re: [XPM] Primecoin Record Books
Post by: Clark on July 14, 2013, 09:17:24 PM
Have there been any other record holding blocks found with the new jump in difficulty?

1CC10
Block 36946: 101 digits. Surpassed by Block 39211: 107 digits. Surpassed by Block 42915: 113 digits.

2CC11
Block 38425: 91 digits


Title: Re: [XPM] Primecoin Record Books
Post by: Lauda on July 14, 2013, 10:03:54 PM
Have there been any other record holding blocks found with the new jump in difficulty?

1CC10
Block 36946: 101 digits. Surpassed by Block 39211: 107 digits. Surpassed by Block 42915: 113 digits.

2CC11
Block 38425: 91 digits
Someone needs to definently keep track of these and try to get the names of people who got them. I mean having your name on a world record is something isn't it?  8)


Title: Re: [XPM] Primecoin Record Books
Post by: torbank on July 16, 2013, 01:14:09 AM
Quote
New World Record!
 Block 50357, Chain 1CC0b, 93 digits (previously 50 digits)


Title: Re: [XPM] Primecoin Record Books
Post by: BitcoinFX on July 16, 2013, 01:19:57 AM
Quote
New World Record!
 Block 50357, Chain 1CC0b, 93 digits (previously 50 digits)

THIS ^^

I just posted this idea in another thread, but I'm posting it again to reach more XPM miners.

I've started 'banking' single mined blocks in encrypted wallets with each block I find by making a back-up and creating a new wallet each time (where possible).

I figured that if / when someone happens to find a block with an exeptionally long chain, then at least it will be a mined block on a single wallet.

This could give the block a higher value in the future as the coins will also be unspent.

Primecoin is a Scientific Computing Cryptocurrency afterall.


Title: Re: [XPM] Primecoin Record Books
Post by: azwccc on July 16, 2013, 03:18:44 AM
No one claims any of the records? I think it is quite possible some of the privkey have been destroyed with intances.


Title: Re: [XPM] Primecoin Record Books
Post by: BitcoinFX on July 16, 2013, 11:50:39 AM
No one claims any of the records? I think it is quite possible some of the privkey have been destroyed with intances.

For sure, which is very sad indeed. Like making an important scientific discovery and deleting the results. :'(


Title: Re: [XPM] Primecoin Record Books
Post by: vinne81 on July 16, 2013, 11:57:59 AM
No one claims any of the records? I think it is quite possible some of the privkey have been destroyed with intances.

For sure, which is very sad indeed. Like making an important scientific discovery and deleting the results. :'(

I don't think those guys with 100 or 200 VPS were mining to get some sort of prime record :) I don't think they will go check their addresses, even if they still could :)


Title: Re: [XPM] Primecoin Record Books
Post by: tyrion70 on July 16, 2013, 12:01:45 PM
No one claims any of the records? I think it is quite possible some of the privkey have been destroyed with intances.

For sure, which is very sad indeed. Like making an important scientific discovery and deleting the results. :'(

I don't think those guys with 100 or 200 VPS were mining to get some sort of prime record :) I don't think they will go check their addresses, even if they still could :)
mined with more than that and checked every address so far.. but no records unfortunately :)


Title: Re: [XPM] Primecoin Record Books
Post by: defaced on July 16, 2013, 01:14:43 PM
coooool, so do you get the money prize?


Title: Re: [XPM] Primecoin Record Books
Post by: Petr1fied on July 16, 2013, 01:56:26 PM
coooool, so do you get the money prize?

The real cash awards are for finding Mersenne primes (the longest of which is over 17 million digits long). Primecoin is not searching for these, if it were then blocks would likely be months or even years apart. Primecoin is dealing with much smaller digit numbers to keep transactions moving.


Title: Re: [XPM] Primecoin Record Books
Post by: jlspartz on July 16, 2013, 03:54:08 PM
For those that do not understand the implications of primes on real world situations:

Its quite comical to think they are useless and don't tie to any benefit once you fully understand. The implications are yet out of our grasp much like parts of space research and particle physics. But the more patterns and links between primes are found, the closer we are to cracking the seamingly random nature of the numbers. Why does this matter? Many things in the natural world use primes - but why and how they know are not yet understood. So it has a close connection to understanding some of the natural laws of our world.


Title: Re: [XPM] Primecoin Record Books
Post by: marcus_of_augustus on July 17, 2013, 02:27:44 PM
 :D

Good work Sunny! ... and Clark, etc for keeping track.


Title: Re: [XPM] Primecoin Record Books
Post by: Clark on July 17, 2013, 02:35:51 PM
You're welcome.

And we have two new records:

1CC0a (10 primes)
Block 56141, 114 digits (previous 113 digits, by Primecoin network)

2CC0a (10 primes)
Block 56040, 111 digits (previous 109 digits)


Title: Re: [XPM] Primecoin Record Books
Post by: nickwen on July 17, 2013, 06:23:40 PM
Hello all

how can I know ,if i make a record?


Title: Re: [XPM] Primecoin Record Books
Post by: maco on July 17, 2013, 09:25:04 PM
You're welcome.

And we have two new records:

1CC0a (10 primes)
Block 56141, 114 digits (previous 113 digits, by Primecoin network)

2CC0a (10 primes)
Block 56040, 111 digits (previous 109 digits)

Nice! Congrats to whoever broke this new record. and Congrats once again Sunny for a successful new World Record!


Title: Re: [XPM] Primecoin Record Books
Post by: tyrion70 on July 18, 2013, 11:16:58 PM
Finally!!!! My hard work has payed off:

Code:
New World Record!
 Block 58326, Chain 2CC0b (11 primes), 98 digits
 *Previous record held by Primecoin, Block 38452
 Previous record: 91 digits
Address: ASg92u69JSVAhWZXCWo8cCRivnNxw7Cxdk
Code:
primecoind signmessage ASg92u69JSVAhWZXCWo8cCRivnNxw7Cxdk "This verifies that tyrion70 found the block containing this world record"
HxKVGJNMA0dDxwKYYIFOBW86fvt8pSxISdpNPvkr5OcapCbmVugKNceDza2w7yL/ACw/p3ChBv6AY495zYrbl4k=

Code:
New World Record!
 Block 59413, Chain TWN0a (10 primes), 114 digits
 *Previous record held by Primecoin, Block 48805
 Previous record: 113 digits
Address: AboJhEpASDPTif7fotR1gFrKVLnsRA3yP9
Code:
primecoind signmessage AboJhEpASDPTif7fotR1gFrKVLnsRA3yP9 "This verifies that tyrion70 found the block containing this world record"
IFyQsoRYhnl5onSWvrzj1ZK0s/M7s6gVbNJTpgYqoK+XIpjcqzvcmr+YxtX8lZuYNt3oClx2pn0kEFXK5TsKVjc=

Two in a row! To bad the second one has been improved twice already and not by me ;)

Can someone verify that I found the right address?

Cheers


Title: Re: [XPM] Primecoin Record Books
Post by: Lauda on July 19, 2013, 07:05:49 AM
Even more primes, nice  :o


Title: Re: [XPM] Primecoin Record Books
Post by: 8bitPunk on July 20, 2013, 10:58:41 AM
Primecoin has cleaned up all the 10 & 11 length records.

Code:
=== Current Records ===

       1CC    2CC    TWN

 06    633    475    399
 07    356    251   *268
 08    186    224    177
 09    185   *158   *129
 10   *123   *115   *119
 11   *102    *98   *100
 12     42     62     47
 13     39     33     --
 14     25     33     29
 15     24     32     --
 16     23     28     24
 17     22     25     --
 18     --     --     24
 19     --     --     --

*Found by Primecoin network

The newest records is a TWN11, 100 digits

Code:
New Chain Type: TWN0b, Block 69434, 100 digits
End of block chain reached.


Title: Re: [XPM] Primecoin Record Books
Post by: 8bitPunk on July 21, 2013, 08:09:45 PM
Now the 12 chain records are rolling in  ;D

Code:
New World Record!
 Block 74722, Chain 2CC0c (12 primes), 97 digits
 Previous record: 62 digits


Title: Re: [XPM] Primecoin Record Books
Post by: Sunny King on July 24, 2013, 07:01:26 PM
FYI, primecoin now holds the records for k=10, 11, 12 largest known simultaneous primes
http://users.cybercity.dk/~dsl522332/math/simultprime.htm


Title: Re: [XPM] Primecoin Record Books
Post by: paulthetafy on July 24, 2013, 07:07:53 PM
Now the 12 chain records are rolling in  ;D

Code:
New World Record!
 Block 74722, Chain 2CC0c (12 primes), 97 digits
 Previous record: 62 digits
Does that show up in debug.log?


Title: Re: [XPM] Primecoin Record Books
Post by: maco on July 24, 2013, 08:48:46 PM
Now the 12 chain records are rolling in  ;D

Code:
New World Record!
 Block 74722, Chain 2CC0c (12 primes), 97 digits
 Previous record: 62 digits
Does that show up in debug.log?

is that that only way to check on linux?


Title: Re: [XPM] Primecoin Record Books
Post by: Clark on July 24, 2013, 08:59:53 PM
Now the 12 chain records are rolling in  ;D

Code:
New World Record!
 Block 74722, Chain 2CC0c (12 primes), 97 digits
 Previous record: 62 digits
Does that show up in debug.log?

is that that only way to check on linux?

Not in debug.log. That output is from the Python program I pasted a couple posts back. The code should work cross-platform, since it's Python.


Title: Re: [XPM] Primecoin Record Books
Post by: jimbobway on July 24, 2013, 09:01:20 PM
I sent an email to Dirk Augustin who maintains this page: http://users.cybercity.dk/~dsl522332/math/Cunningham_Chain_records.htm

Here's what he said:

Quote
Hello,
thx for informing me.
 
I was not aware of Primecoin until now. It sounds very interesting especially as it is using prime chains like those I have been searching for more than ten years until now.
 
I will check the records as soon as possible and update my webpage accordingly.
 
Congratulations to everyone involved in these great record improvements.
 
Best regards,
Dirk Augustin


Title: Re: [XPM] Primecoin Record Books
Post by: maco on July 24, 2013, 09:38:37 PM
Good work getting a hold of him. This is the type of people who will give primecoin great press and media attention. Get him in contact with Sunny ASAP!

I sent an email to Dirk Augustin who maintains this page: http://users.cybercity.dk/~dsl522332/math/Cunningham_Chain_records.htm

Here's what he said:

Quote
Hello,
thx for informing me.
 
I was not aware of Primecoin until now. It sounds very interesting especially as it is using prime chains like those I have been searching for more than ten years until now.
 
I will check the records as soon as possible and update my webpage accordingly.
 
Congratulations to everyone involved in these great record improvements.
 
Best regards,
Dirk Augustin


Title: Re: [XPM] Primecoin Record Books
Post by: Sunny King on July 24, 2013, 10:27:09 PM
Happy to know Dirk likes primecoin and I just sent him a note. I have also contacted Henri and Jens as well  :)

Most people only know about the largest known prime record (aka the k=1 record on Jens' list) which is dominated by GIMPS (Mersennes). That's why Jens' record book is important so that people realize that Mersennes are not the only primes of interest to mathematicians.


Title: Re: [XPM] Primecoin Record Books
Post by: glongsword on July 24, 2013, 10:44:21 PM
I found a 2CC0a block!  

79590  AezMwyLP2hpT3yh3LDZkydqkpsrTg7Eyfk

How do I prove it?


Title: Re: [XPM] Primecoin Record Books
Post by: 8bitPunk on July 25, 2013, 12:53:00 AM
I found a 2CC0a block!  

79590  AezMwyLP2hpT3yh3LDZkydqkpsrTg7Eyfk

How do I prove it?

Congrats glongsword, your block is 1st-equal with block 78915...

You can verify you own an address with the signmessage command:
Code:
primecoind signmessage AezMwyLP2hpT3yh3LDZkydqkpsrTg7Eyfk "glongsword owns this address - or whatever message you want"

If you're using primecoin-qt then go to Help > Debug window > Console and run:
Code:
signmessage AezMwyLP2hpT3yh3LDZkydqkpsrTg7Eyfk "glongsword owns this address - or whatever message you want"

Post the address, message, and resulting signature here and it's sufficient proof that you can claim discovery of the 2CC0a prime of 123 digits.


Title: Re: [XPM] Primecoin Record Books
Post by: glongsword on July 25, 2013, 01:08:41 AM
I found a 2CC0a block!  

79590  AezMwyLP2hpT3yh3LDZkydqkpsrTg7Eyfk

How do I prove it?

Congrats glongsword, your block is 1st-equal with block 78915...

You can verify you own an address with the signmessage command:
Code:
primecoind signmessage AezMwyLP2hpT3yh3LDZkydqkpsrTg7Eyfk "glongsword owns this address - or whatever message you want"

If you're using primecoin-qt then go to Help > Debug window > Console and run:
Code:
signmessage AezMwyLP2hpT3yh3LDZkydqkpsrTg7Eyfk "glongsword owns this address - or whatever message you want"

Post the address, message, and resulting signature here and it's sufficient proof that you can claim discovery of the 2CC0a prime of 123 digits.

Okay, cool, here's what I get:

Quote
21:05:53
signmessage AezMwyLP2hpT3yh3LDZkydqkpsrTg7Eyfk "This is glongsword's Primecoin address."


21:05:53
IBFS3OVUwtmk0HI76RXTRxJLM/y2NWFeugvORENMtOvAGQp4rJIKqP9lmurHhZr3I2zYr/TzxXQfV8Eomh6ULxo=

Thanks for the help!


Title: Re: [XPM] Primecoin Record Books
Post by: rethaw on July 25, 2013, 01:32:12 AM
Bi-Twin Chain
TWN0a (length 10 or 4-link) New World Records

Code:
block  digits  miner       address                              origin
76809  126*    anonymous   AYdBWCsu4CQG6ZEbVWGe4oU9oyK3fUnzPm   160119522069821195835891275392518115341345841109408574791359778924664436202474106714742688904833455303202422814762675464936800
(*) Current world record for any simultaneous primes

Hey, alright!

Code:
AYdBWCsu4CQG6ZEbVWGe4oU9oyK3fUnzPm "rethaw owns this address"
H8hmwqW8R6kfAJOzt8OO1DZOEzApyWBi0WxHRm05eZ+2S/QnrSW50Kaa6SOwBTmuFPISYEOtFalKpCkSPGa+Jbk=


Title: Re: [XPM] Primecoin Record Books
Post by: Lauda on July 25, 2013, 08:23:28 AM
Happy to know Dirk likes primecoin and I just sent him a note. I have also contacted Henri and Jens as well  :)

Most people only know about the largest known prime record (aka the k=1 record on Jens' list) which is dominated by GIMPS (Mersennes). That's why Jens' record book is important so that people realize that Mersennes are not the only primes of interest to mathematicians.
Nice, good work keep it up :)


Title: Re: [XPM] Primecoin Record Books
Post by: CoinBuzz on July 25, 2013, 06:13:35 PM
If primecoin proof of work is just probability of being prime, so how can you prove that a found blocked is really a prime number ?


Title: Re: [XPM] Primecoin Record Books
Post by: AgentME on July 25, 2013, 06:36:52 PM
If primecoin proof of work is just probability of being prime, so how can you prove that a found blocked is really a prime number ?

I think the chance of the primes not actually being primes is supposed to be extremely small, but I haven't looked into it. I know that someone double-checked the first couple records at least.


Title: Re: [XPM] Primecoin Record Books
Post by: jimoc on July 26, 2013, 01:31:39 PM
And still more records are falling :

Code:
New World Record!
 Block 78915, Chain 2CC0a (10 primes), 123 digits
 *Previous record held by Primecoin, Block 61999
 Previous record: 115 digits
New World Record!
 Block 79087, Chain 1CC0b (11 primes), 113 digits
 *Previous record held by Primecoin, Block 76601
 Previous record: 108 digits
New World Record!
 Block 79349, Chain 2CC09 (9 primes), 167 digits
 *Previous record held by Primecoin, Block 5355
 Previous record: 158 digits
New World Record!
 Block 83550, Chain 2CC0a (10 primes), 127 digits
 *Previous record held by Primecoin, Block 78915
 Previous record: 123 digits
End of block chain reached.


Title: Re: [XPM] Primecoin Record Books
Post by: mechs on July 27, 2013, 05:31:31 AM
Would be great if we could get primecoin the news somehow.


Title: Re: [XPM] Primecoin Record Books
Post by: Duffer1 on July 29, 2013, 04:42:34 AM
So for the miners of #2044 and #5355 please step up and give us a proof you are the miner and the name you would like to be written for the record book ;)

To look up if you are the lucky miner who mined a new world record you can go to help->debug window->console and type
validateaddress <record_holding_address>

There isn't a quicker way to do this? :P


Title: Re: [XPM] Primecoin Record Books
Post by: mechs on July 29, 2013, 04:53:15 AM
Any new records this weekend?


Title: Re: [XPM] Primecoin Record Books
Post by: jimoc on July 29, 2013, 01:42:34 PM
And still more records are falling :

Code:
New World Record!
 Block 78915, Chain 2CC0a (10 primes), 123 digits
 *Previous record held by Primecoin, Block 61999
 Previous record: 115 digits
New World Record!
 Block 79087, Chain 1CC0b (11 primes), 113 digits
 *Previous record held by Primecoin, Block 76601
 Previous record: 108 digits
New World Record!
 Block 79349, Chain 2CC09 (9 primes), 167 digits
 *Previous record held by Primecoin, Block 5355
 Previous record: 158 digits
New World Record!
 Block 83550, Chain 2CC0a (10 primes), 127 digits
 *Previous record held by Primecoin, Block 78915
 Previous record: 123 digits
End of block chain reached.


A few more to add :
Code:
New World Record!
 Block 84106, Chain 1CC0b (11 primes), 116 digits
 *Previous record held by Primecoin, Block 79087
 Previous record: 113 digits
New World Record!
 Block 85090, Chain TWN0b (11 primes), 112 digits
 *Previous record held by Primecoin, Block 71419
 Previous record: 106 digits
New World Record!
 Block 85429, Chain TWN0a (10 primes), 138 digits
 *Previous record held by Primecoin, Block 76809
 Previous record: 126 digits
New World Record!
 Block 86955, Chain 1CC0a (10 primes), 125 digits
 *Previous record held by Primecoin, Block 64363
 Previous record: 123 digits
New World Record!
 Block 87510, Chain 2CC0b (11 primes), 109 digits
 *Previous record held by Primecoin, Block 71765
 Previous record: 108 digits
End of block chain reached.



Title: Re: [XPM] Primecoin Record Books
Post by: mechs on July 29, 2013, 02:36:30 PM
And still more records are falling :

Code:
New World Record!
 Block 78915, Chain 2CC0a (10 primes), 123 digits
 *Previous record held by Primecoin, Block 61999
 Previous record: 115 digits
New World Record!
 Block 79087, Chain 1CC0b (11 primes), 113 digits
 *Previous record held by Primecoin, Block 76601
 Previous record: 108 digits
New World Record!
 Block 79349, Chain 2CC09 (9 primes), 167 digits
 *Previous record held by Primecoin, Block 5355
 Previous record: 158 digits
New World Record!
 Block 83550, Chain 2CC0a (10 primes), 127 digits
 *Previous record held by Primecoin, Block 78915
 Previous record: 123 digits
End of block chain reached.


A few more to add :
Code:
New World Record!
 Block 84106, Chain 1CC0b (11 primes), 116 digits
 *Previous record held by Primecoin, Block 79087
 Previous record: 113 digits
New World Record!
 Block 85090, Chain TWN0b (11 primes), 112 digits
 *Previous record held by Primecoin, Block 71419
 Previous record: 106 digits
New World Record!
 Block 85429, Chain TWN0a (10 primes), 138 digits
 *Previous record held by Primecoin, Block 76809
 Previous record: 126 digits
New World Record!
 Block 86955, Chain 1CC0a (10 primes), 125 digits
 *Previous record held by Primecoin, Block 64363
 Previous record: 123 digits
New World Record!
 Block 87510, Chain 2CC0b (11 primes), 109 digits
 *Previous record held by Primecoin, Block 71765
 Previous record: 108 digits
End of block chain reached.

Are you submitting these results to the relevant organization which track them?  Would be great publicity for primecoin.


Title: Re: [XPM] Primecoin Record Books
Post by: jimoc on July 29, 2013, 02:57:34 PM

Are you submitting these results to the relevant organization which track them?  Would be great publicity for primecoin.

As soon as I figure out how to show them properly I will.
I have no idea how to actually show the numbers themselves :)


Title: Re: [XPM] Primecoin Record Books
Post by: one4many on July 29, 2013, 03:55:40 PM
If primecoin proof of work is just probability of being prime, so how can you prove that a found blocked is really a prime number ?

I like your avatar  :D


Title: Re: [XPM] Primecoin Record Books
Post by: laughingbear on July 29, 2013, 04:00:01 PM
So for the miners of #2044 and #5355 please step up and give us a proof you are the miner and the name you would like to be written for the record book ;)

To look up if you are the lucky miner who mined a new world record you can go to help->debug window->console and type
validateaddress <record_holding_address>

There isn't a quicker way to do this? :P

I agree... there should be an easy way to scan all your found blocks to see if they are record holders.  esp with the constant finding of new records.  who can keep up with all of this, much less enter in every new address against these records.

is there a .conf entry that will auto sign all of my mined blocks?


Title: Re: [XPM] Primecoin Record Books
Post by: Clark on July 29, 2013, 04:29:04 PM
is there a .conf entry that will auto sign all of my mined blocks?

No, but the Python code I posted could be modified to check against your current addresses and make those signatures automatically  ;)

Code:
# worldrecords.py
#
# Created by Clark Moody. Public domain.
#
# Show some love: AMLVXfPytaGv7Cx8X5ZnMtqQrQhAbtyNtr
#
#
from jsonrpc import ServiceProxy

import json

USER = '<user>'
PASS = '<pass>'
PORT = 9912


fname = 'worldrecords.txt'

checkMine = True
myName = 'Clark Moody'

# Searching for new world records
def main():
ip = '127.0.0.1'
addy = 'http://%s:%s@%s:%i' % (USER,PASS,ip,PORT)
p = ServiceProxy(addy)

# http://users.cybercity.dk/~dsl522332/math/Cunningham_Chain_records.htm
# http://www.primenumbers.net/Henri/fr-us/BiTwinRec.htm

records = {
# Length 6
'1CC06':{
'digits':633,
'block':None
},
'2CC06':{
'digits':475,
'block':None
},
# BiTwin chain of 6 primes, 2 links
'TWN06':{
'digits':399,
'block':None
},
# Length 7
'1CC07':{
'digits':356,
'block':None
},
'2CC07':{
'digits':251,
'block':None
},
# Length 8
'1CC08':{
'digits':186,
'block':None
},
'2CC08':{
'digits':224,
'block':None
},
# BiTwin chain of 8 primes, 3 links
'TWN08':{
'digits':177,
'block':None
},
# Length 9
'1CC09':{
'digits':185,
'block':None
},
'2CC09':{
'digits':111,
'block':None
},
# Length 10
'1CC0a':{
'digits':99,
'block':None
},
'2CC0a':{
'digits':109,
'block':None
},
# BiTwin chain of 10 primes, 4 links
'TWN0a':{
'digits':92,
'block':None
},
# Length 11
'1CC0b':{
'digits':50,
'block':None
},
'2CC0b':{
'digits':63,
'block':None
},
# Length 12
'1CC0c':{
'digits':42,
'block':None
},
'2CC0c':{
'digits':62,
'block':None
},
# BiTwin chain of 12 primes, 5 links
'TWN0c':{
'digits':47,
'block':None
},
# Length 13
'1CC0d':{
'digits':39,
'block':None
},
'2CC0d':{
'digits':33,
'block':None
},
# Length 14
'1CC0e':{
'digits':25,
'block':None
},
'2CC0e':{
'digits':33,
'block':None
},
# BiTwin chain of 14 primes, 6 links
'TWN0e':{
'digits':29,
'block':None
},
# Length 15
'1CC0f':{
'digits':24,
'block':None
},
'2CC0f':{
'digits':32,
'block':None
},
# Length 16
'1CC10':{
'digits':23,
'block':None
},
'2CC10':{
'digits':28,
'block':None
},
# BiTwin chain of 16 primes, 7 links
'TWN10':{
'digits':24,
'block':None
},
# Length 17
'1CC11':{
'digits':22,
'block':None
},
'2CC11':{
'digits':25,
'block':None
},
# Length 18
'1CC12':{
'digits':None,
'block':None
},
'2CC12':{
'digits':None,
'block':None
},
# BiTwin chain of 18 primes, 8 links
'TWN12':{
'digits':24,
'block':None
}
}

# Record history
hist = {}

data = {}

try:
with open(fname, 'r') as f:
data = json.load(f)
except:
pass

height = 1

if 'height' in data:
height = data['height']

if 'records' in data:
records = data['records']

if 'hist' in data:
hist = data['hist']

blockHash = p.getblockhash(height)
block = p.getblock(blockHash)

while 'nextblockhash' in block:
chain = block['primechain'].split('.')[0]
chainlength = 0
try:
chainlength = int(chain[3:5],16)
except:
print('Error with chain: %s, Block %i' % (chain,block['height']))
origin = block['primeorigin']
digits = len(origin)
height = block['height']

newrecord = False

if chain in records:
if digits > records[chain]['digits']:
print('New World Record!')
print(' Block %i, Chain %s (%i primes), %i digits' %
(height, chain, chainlength, digits))
if records[chain]['block'] is not None:
print(' *Previous record held by Primecoin, Block %i' %
(records[chain]['block'],))
print(' Previous record: %i digits' % (records[chain]['digits']))
records[chain]['digits'] = digits
records[chain]['block'] = height
newrecord = True
else:
print('New Chain Type: %s, Block %i, %i digits' %
(chain, height, digits))
records[chain] = {
'digits':digits,
'block': height
}
newrecord = True

if newrecord:
if chain not in hist:
hist[chain] = []
hist[chain].append({'block':height, 'digits':digits})

if newrecord and checkMine:
txid = block['tx'][0]
try:
txn = p.gettransaction(txid)
addy = txn['details'][0]['address']
if AddressMine(p, addy):
print(' **** You found it! Block %i **** \n' % (height))
except:
pass


block = p.getblock(block['nextblockhash'])

print('End of block chain reached. Height: %i' % (height,))

data = {
'records': records,
'height': block['height'],
'hist': hist
}

with open(fname, 'w') as f:
json.dump(data, f)

types = ['1CC', '2CC', 'TWN']

print('\n\n=== Record History ===\n')
for t in types:
for i in range(6,20):
chain = '%s%s' % (t, hex(i)[2:].zfill(2))
if chain not in hist:
continue
print(chain)
for r in hist[chain]:
print(' Height: %6i, Digits: %3i' %
(r['block'], r['digits']))
print(' ')

print('\n\n=== Current Records ===\n')

s = '   '
for t in types:
s = '%s%7s' % (s, t)
print('%s\n' % (s,))
for i in range(6,20):
s = ' %.2i' % (i,)
for t in types:
chain = '%s%s' % (t,hex(i)[2:].zfill(2))
if chain not in records or records[chain]['digits'] is None:
s = '%s%7s' % (s,'--')
else:
if records[chain]['block'] is not None:
s = '%s%7s' % (s, ('*%i' % (records[chain]['digits'])).rjust(7))
else:
s = '%s%7i' % (s, records[chain]['digits'])
print(s)
print('\n*Found by Primecoin network\n')

def AddressMine(P, addy):
print('Attempting to sign message for address %s' % addy)
msg = '%s owns this address: %s' % (myName, addy)
try:
sig = P.signmessage(addy, msg)
except:
return False
else:
print('Signed message:\n%s\nwith address: %s\nSignature:\n%s' %
(msg,addy,sig))
return True

if __name__ == '__main__':
main()

NOTE: Your wallet will need to be unlocked while you run this code. A simple modification to the script could unlock your wallet for you, but then you would be saving your wallet password in the source... Also, you might want to change your name on line 20 (unless you want to sign your world record over to me  ;D)

NOTE 2: This new code prints out the history of records found by Primecoin. To get a complete picture, you'll need to delete your existing worldrecords.txt and re-scan from the beginning of the block chain.


Title: Re: [XPM] Primecoin Record Books
Post by: Petr1fied on July 29, 2013, 05:40:57 PM

Are you submitting these results to the relevant organization which track them?  Would be great publicity for primecoin.

As soon as I figure out how to show them properly I will.
I have no idea how to actually show the numbers themselves :)


My block crawler displays them:

http://primeblock.kicks-ass.net/

If you want the source, you can download it here (https://apps.memopal.com/d/?8Q32GGKV). You need a primecoin daemon and need to add your daemon connection information in bc_daemon.php, you also need to ensure you have the GMP (http://php.net/manual/en/book.gmp.php) extension loaded.

I'm sure you could convert the code to some other language easy enough also, the relevant code is in bc_layout.php.


Title: Re: [XPM] Primecoin Record Books
Post by: Sunny King on July 29, 2013, 10:05:23 PM
FYI I just pushed a new command 'listprimerecords' to repo for checking the records.

This gives primecoin internal records, by length (simultaneous primes) or by type.

To find records of simultaneous 10-primes:

listprimerecords 10

To find records of a given type:

listprimerecords 11 1CC
listprimerecords 11 2CC
listprimerecords 10 TWN


Title: Re: [XPM] Primecoin Record Books
Post by: Sunny King on July 29, 2013, 10:39:36 PM
Does it tell you if the blocks are yours?

Not yet, but it will be added later.


Title: Re: [XPM] Primecoin Record Books
Post by: bcp19 on July 29, 2013, 10:49:50 PM
Does it tell you if the blocks are yours?

Not yet, but it will be added later.
What happens with pool miners?  Does the pool get the credit?


Title: Re: [XPM] Primecoin Record Books
Post by: laughingbear on July 30, 2013, 12:58:37 AM
Does it tell you if the blocks are yours?

Not yet, but it will be added later.

Thanks, its too complicated for the average miner to figure out if they are record holders.  An easy command to do this would be great!


Title: Re: [XPM] Primecoin Record Books
Post by: Sunny King on July 30, 2013, 04:48:50 AM
Now listprimerecords shows an 'ismine' field which indicates whether you are the miner of it.
It would be included in v0.1.2 release build soon!


Title: Re: [XPM] Primecoin Record Books
Post by: mechs on July 30, 2013, 04:52:52 AM
Now listprimerecords shows an 'ismine' field which indicates whether you are the miner of it.
It would be included in v0.1.2 release build soon!
Are you going to improve mining efficiency at all in the next release build?


Title: Re: [XPM] Primecoin Record Books
Post by: Sunny King on July 30, 2013, 05:02:31 AM
Are you going to improve mining efficiency at all in the next release build?

There are some performance improvements in v0.1.2, those are already published in the repo. Although the built-in miner is not expected to be competitive against market offered solutions, I think those improvements would also be incorporated into some of the available miners soon.

The other feature of v0.1.2 is a new 'chainsperday' stat for getmininginfo. It is a better metric for tuning miner performance.


Title: Re: [XPM] Primecoin Record Books
Post by: Sunny King on July 30, 2013, 08:36:57 PM
I have finally managed to update the record book properly with the help of new command listprimerecords. So check it out! v0.1.2 should be out soon so you can all check them yourself more easily.

Jens has updated his world record list now Primecoin officially owns 3 world records 10-primes, 11-primes, 12-primes for simultaneous primes! Thanks Jens :)


Title: Re: [XPM] Primecoin Record Books
Post by: bcp19 on July 30, 2013, 09:50:14 PM
I have finally managed to update the record book properly with the help of new command listprimerecords. So check it out! v0.1.2 should be out soon so you can all check them yourself more easily.

Jens has updated his world record list now Primecoin officially owns 3 world records 10-primes, 11-primes, 12-primes for simultaneous primes! Thanks Jens :)
I went through the ypool blocks and found a few usernames for your records:

2013-JUL-23   78915  123     hantheme
2013-JUL-23   79349  167     azpol
2013-JUL-26   84659  123     radiumstream
2013-JUL-28   86265  123     sapt1

cheers


Title: Re: [XPM] Primecoin Record Books
Post by: maco on July 30, 2013, 11:19:23 PM
Nice catch  bcp19 good work!


Title: Re: [XPM] Primecoin Record Books
Post by: mhps on July 31, 2013, 05:24:17 AM
I have finally managed to update the record book properly with the help of new command listprimerecords. So check it out! v0.1.2 should be out soon so you can all check them yourself more easily.

Maybe whenever a new record is found the client can pop up a message in the sameway a new block is found. Maybe we can call primecoin CunninghamChain@Home


Title: Re: [XPM] Primecoin Record Books
Post by: maco on July 31, 2013, 09:53:20 PM
I have finally managed to update the record book properly with the help of new command listprimerecords. So check it out! v0.1.2 should be out soon so you can all check them yourself more easily.

Jens has updated his world record list now Primecoin officially owns 3 world records 10-primes, 11-primes, 12-primes for simultaneous primes! Thanks Jens :)

Nice job on the new command!

Nice job no the new world record list. Jens, keep it up!


Title: Re: [XPM] Primecoin Record Books
Post by: ig0tik3d on August 01, 2013, 05:17:29 AM
how i understand this adress AT5A2KL6kAm5Pa3anhC8W4LVscCT16n6i2 is adress ypool.net


Title: Re: [XPM] Primecoin Record Books
Post by: BartJSimpsom on August 02, 2013, 07:01:04 AM
Hello,
I have updated my Cunningham chain record list:

http://users.cybercity.dk/~dsl522332/math/Cunningham_Chain_records.htm (http://users.cybercity.dk/~dsl522332/math/Cunningham_Chain_records.htm)

Congratulations to all who found new records!

Please send me a PM if you want to have your real name on the record list. First of all you of course need to confirm that you really found the record like it's done in this thread.

Regards,
Dirk Augustin


Title: Re: [XPM] Primecoin Record Books
Post by: mechs on August 02, 2013, 11:58:58 AM
Hello,
I have updated my Cunningham chain record list:

http://users.cybercity.dk/~dsl522332/math/Cunningham_Chain_records.htm

Congratulations to all who found new records!

Please send me a PM if you want to have your real name on the record list. First of all you of course need to confirm that you really found the record like it's done in this thread.

Regards,
Dirk Augustin
Primecoin is cleaning up and it has only just gotten started!


Title: Re: [XPM] Primecoin Record Books
Post by: BartJSimpsom on August 10, 2013, 09:32:43 AM
Hello,
I have updated my Cunningham chain record list again:

http://users.cybercity.dk/~dsl522332/math/Cunningham_Chain_records.htm (http://users.cybercity.dk/~dsl522332/math/Cunningham_Chain_records.htm)

Best regards,
Dirk


Title: Re: [XPM] Primecoin Record Books
Post by: one4many on August 10, 2013, 10:06:49 AM
Hello,
I have updated my Cunningham chain record list again:

http://users.cybercity.dk/~dsl522332/math/Cunningham_Chain_records.htm

Best regards,
Dirk

404 (Page not Found)


Title: Re: [XPM] Primecoin Record Books
Post by: BartJSimpsom on August 12, 2013, 06:51:15 PM
Hello,
I have updated my Cunningham chain record list again:

http://users.cybercity.dk/~dsl522332/math/Cunningham_Chain_records.htm

Best regards,
Dirk

404 (Page not Found)

Page is up again!


Title: Re: [XPM] Primecoin Record Books
Post by: mechs on August 20, 2013, 11:47:16 PM
Any more record updates?


Title: Re: [XPM] Primecoin Record Books
Post by: mechs on August 28, 2013, 10:59:43 PM
No more updates here?


Title: Re: [XPM] Primecoin Record Books
Post by: mechs on August 31, 2013, 08:01:26 PM
Why have their been no updates here?  We must have found sooo many more records by now.


Title: Re: [XPM] Primecoin Record Books
Post by: Clark on September 01, 2013, 04:45:09 AM
Why have their been no updates here?  We must have found sooo many more records by now.

You can compute them yourself with the Python script I posted a while back  :)


Title: Re: [XPM] Primecoin Record Books
Post by: jpmi1 on September 01, 2013, 10:59:36 PM
Any one want to update the record books?


Title: Re: [XPM] Primecoin Record Books
Post by: prophetx on September 10, 2013, 12:37:49 AM
Any one want to update the record books?

yea shouldn't someone be tracking this so that an article can get published some day when some new prime is discovered?

i would do it but i don't even understand the mathematics behind this... just happen to get a few xpm because it sounds interesting  :P


Title: Re: [XPM] Primecoin Record Books
Post by: mechs on September 10, 2013, 12:58:20 AM
Any one want to update the record books?

yea shouldn't someone be tracking this so that an article can get published some day when some new prime is discovered?

i would do it but i don't even understand the mathematics behind this... just happen to get a few xpm because it sounds interesting  :P
I agree, would be nice if someone kept this thread uptodate.


Title: Re: [XPM] Primecoin Record Books
Post by: Sunny King on September 15, 2013, 08:38:09 PM
13-primes has been conquered!

block: 159217
chain: 2CC0d
origin: 2157379196749861922279323942438489646066518556204460081290289105121926523847387 648204577131520
primorial form: 1075675072070019538039769718844817846011572546711177146887584296472384435455501 6704*31#

Didn't expect this to occur this fast, I was expecting by the end of the year.

Cheers!  :D

(I will update the record posts when I get around to it :P)


Title: Re: [XPM] Primecoin Record Books
Post by: mechs on September 15, 2013, 09:33:08 PM
13-primes has been conquered!

block: 159217
chain: 2CC0d
origin: 2157379196749861922279323942438489646066518556204460081290289105121926523847387 648204577131520
primorial form: 1075675072070019538039769718844817846011572546711177146887584296472384435455501 6704*31#

Didn't expect this to occur this fast, I was expecting by the end of the year.

Cheers!  :D

(I will update the record posts when I get around to it :P)
Awesome! Should send out an email to Dirk Augustin to get the official record book updated


Title: Re: [XPM] Primecoin Record Books
Post by: mhps on September 16, 2013, 02:47:59 AM
13-primes has been conquered!

block: 159217
chain: 2CC0d
origin: 2157379196749861922279323942438489646066518556204460081290289105121926523847387 648204577131520
primorial form: 1075675072070019538039769718844817846011572546711177146887584296472384435455501 6704*31#

Didn't expect this to occur this fast, I was expecting by the end of the year.

Cheers!  :D

(I will update the record posts when I get around to it :P)

Terrific! Checked listprimerecords and it's not mine  :( or maybe it is my ypool block ?  :)


Title: Re: [XPM] Primecoin Record Books
Post by: neo101one on September 16, 2013, 06:56:26 AM
13-primes has been conquered!

block: 159217
chain: 2CC0d
origin: 2157379196749861922279323942438489646066518556204460081290289105121926523847387 648204577131520
primorial form: 1075675072070019538039769718844817846011572546711177146887584296472384435455501 6704*31#

Didn't expect this to occur this fast, I was expecting by the end of the year.

Cheers!  :D

(I will update the record posts when I get around to it :P)

Terrific! Checked listprimerecords and it's not mine  :( or maybe it is my ypool block ?  :)
I did some investigating and there was only one person on Ypool that found a block around that time. The address didnt match their name so its not them. I think it was someone who was solomining that found the chain. I know from talking in ypools chat that someone has probably found 11 and 12 chains.


Title: Re: [XPM] Primecoin Record Books
Post by: BartJSimpsom on September 16, 2013, 09:21:55 AM
The new Cunningham chain of length 13 is very imressive!


I already updated the Cunningham chain record list.

http://users.cybercity.dk/~dsl522332/math/Cunningham_Chain_records.htm


And Jens also updated his list for Simultaneous prime records:

http://users.cybercity.dk/~dsl522332/math/simultprime.htm


Henri also updated his BiTwin record page end of August:

http://www.primenumbers.net/Henri/fr-us/BiTwinRec.htm

Regards,
Dirk


Title: Re: [XPM] Primecoin Record Books
Post by: mechs on September 16, 2013, 12:11:27 PM
13-primes has been conquered!

block: 159217
chain: 2CC0d
origin: 2157379196749861922279323942438489646066518556204460081290289105121926523847387 648204577131520
primorial form: 1075675072070019538039769718844817846011572546711177146887584296472384435455501 6704*31#

Didn't expect this to occur this fast, I was expecting by the end of the year.

Cheers!  :D

(I will update the record posts when I get around to it :P)
If only there was a optimized GPU miner, then the records would really start dropping like flies.


Title: Re: [XPM] Primecoin Record Books
Post by: Sunny King on September 18, 2013, 03:13:13 AM
I have updated post 2~4 with the recent records.

Thanks Dirk :)


Title: Re: [XPM] Primecoin Record Books
Post by: miffman on September 20, 2013, 12:41:16 PM
These records are awesome  ;D congrats


Title: Re: [XPM] Primecoin Record Books
Post by: BartJSimpsom on November 15, 2013, 10:18:38 PM
I updated the Cunningham chain record list three days ago:

http://users.cybercity.dk/~dsl522332/math/Cunningham_Chain_records.htm

Again Primecoin improved the records for Cunningham chains of length 10 and 12.


Title: Re: [XPM] Primecoin Record Books
Post by: raspcoin on December 20, 2013, 10:46:19 PM
The Datacoin network has also produced several notable top prime chains. While there are no records, some chains make it to the top three. The difficulty is still below 10.

12 1CC: 95, 94, 93
12 2CC: 92
12 TWN: 99, 94

11 1CC: 103, 99, 99
11 2CC: 102, 99, 99
11 TWN: 99, 98, 98

10 1CC: 106, 105, 105
10 2CC: 106, 106, 105
10 TWN: 110, 108, 107

9 1CC: 115, 114, 113
9 2CC: 115, 110, 110
9 TWN: 110, 108, 107

8 1CC: 103, 102, 102
8 2CC: 106, 105, 104
8 TWN: 110, 105, 101

7 1CC: 100, 98, 98
7 2CC: 103, 100, 98
7 TWN: 99, 98, 98

6 1CC: -
6 2CC: 90, 88
6 TWN: 84


Title: Re: [XPM] Primecoin Record Books
Post by: GreekBitcoin on December 20, 2013, 11:54:59 PM
The Datacoin network has also produced several notable top prime chains. While there are no records, some chains make it to the top three. The difficulty is still below 10.

12 1CC: 95, 94, 93
12 2CC: 92
12 TWN: 99, 94

11 1CC: 103, 99, 99
11 2CC: 102, 99, 99
11 TWN: 99, 98, 98

10 1CC: 106, 105, 105
10 2CC: 106, 106, 105
10 TWN: 110, 108, 107

9 1CC: 115, 114, 113
9 2CC: 115, 110, 110
9 TWN: 110, 108, 107

8 1CC: 103, 102, 102
8 2CC: 106, 105, 104
8 TWN: 110, 105, 101

7 1CC: 100, 98, 98
7 2CC: 103, 100, 98
7 TWN: 99, 98, 98

6 1CC: -
6 2CC: 90, 88
6 TWN: 84

So Datacoin is also helping with those mathematics? I was asking myself about that because it is a fork it may not help with that work...


Title: Re: [XPM] Primecoin Record Books
Post by: raspcoin on December 21, 2013, 01:19:09 PM
The Datacoin network has also produced several notable top prime chains. While there are no records, some chains make it to the top three. The difficulty is still below 10.

12 1CC: 95, 94, 93
12 2CC: 92
12 TWN: 99, 94

11 1CC: 103, 99, 99
11 2CC: 102, 99, 99
11 TWN: 99, 98, 98

10 1CC: 106, 105, 105
10 2CC: 106, 106, 105
10 TWN: 110, 108, 107

9 1CC: 115, 114, 113
9 2CC: 115, 110, 110
9 TWN: 110, 108, 107

8 1CC: 103, 102, 102
8 2CC: 106, 105, 104
8 TWN: 110, 105, 101

7 1CC: 100, 98, 98
7 2CC: 103, 100, 98
7 TWN: 99, 98, 98

6 1CC: -
6 2CC: 90, 88
6 TWN: 84

So Datacoin is also helping with those mathematics? I was asking myself about that because it is a fork it may not help with that work...

Yes, Datacoin does the same work. The risk of duplication is probably negligible.


Title: Re: [XPM] Primecoin Record Books
Post by: raspcoin on December 23, 2013, 08:54:13 PM
Here is a comparison with Primecoin:

13 1CC: -
13 2CC: 94
13 TWN: -

12 1CC: 110, 97
12 2CC: 109, 103, 101
12 TWN: 106, 105, 103

11 1CC: 140, 116, 113
11 2CC: 116, 111, 110
11 TWN: 123, 114, 112

10 1CC: 146, 138, 132
10 2CC: 137, 130, 127
10 TWN: 138, 126, 119

9 1CC: 151, 125, 125
9 2CC: 167, 158, 131
9 TWN: 163, 138, 129

8 1CC: 167, 154, 136
8 2CC: 183, 153, 140
8 TWN: 172, 160, 156

7 1CC: 244, 188, 162
7 2CC: 208, 201, 193
7 TWN: 268, 240, 165

6 1CC: -
6 2CC: 134, 113, 97
6 TWN: 97, 91


Title: Re: [XPM] Primecoin Record Books
Post by: GreekBitcoin on December 23, 2013, 09:34:41 PM
Here is a comparison with Primecoin:

13 1CC: -
13 2CC: 94
13 TWN: -

12 1CC: 110, 97
12 2CC: 109, 103, 101
12 TWN: 106, 105, 103

11 1CC: 140, 116, 113
11 2CC: 116, 111, 110
11 TWN: 123, 114, 112

10 1CC: 146, 138, 132
10 2CC: 137, 130, 127
10 TWN: 138, 126, 119

9 1CC: 151, 125, 125
9 2CC: 167, 158, 131
9 TWN: 163, 138, 129

8 1CC: 167, 154, 136
8 2CC: 183, 153, 140
8 TWN: 172, 160, 156

7 1CC: 244, 188, 162
7 2CC: 208, 201, 193
7 TWN: 268, 240, 165

6 1CC: -
6 2CC: 134, 113, 97
6 TWN: 97, 91

can you please explain me what i am reading? :P I am not familiar with those mathematics/numbers/statistics. Although as a physics guy i am intrigued to research more about primecoin.


Title: Re: [XPM] Primecoin Record Books
Post by: testz on December 24, 2013, 08:38:50 PM
Can we place here the records from Datacoin blockchain?


Title: Re: [XPM] Primecoin Record Books
Post by: sepro on January 05, 2014, 07:47:31 PM
A TWN of length 13 has been found : http://primecoin.21stcenturymoneytalk.org/index.php?block_height=340499 (http://primecoin.21stcenturymoneytalk.org/index.php?block_height=340499) origin of 105 digits ! That is one to put in the record books.

For those interested, I've programmed a bot to screen the blockchain for new record breaking primechains. You can follow it on twitter https://twitter.com/OldEee_Miner (https://twitter.com/OldEee_Miner). Apart from record primes it also tweets about the price and it's own (really, really slow) mining efforts.



Title: Re: [XPM] Primecoin Record Books
Post by: mhps on January 06, 2014, 12:17:08 AM
A TWN of length 13 has been found : http://primecoin.21stcenturymoneytalk.org/index.php?block_height=340499 (http://primecoin.21stcenturymoneytalk.org/index.php?block_height=340499) origin of 105 digits ! That is one to put in the record books.

For those interested, I've programmed a bot to screen the blockchain for new record breaking primechains. You can follow it on twitter https://twitter.com/OldEee_Miner (https://twitter.com/OldEee_Miner). Apart from record primes it also tweets about the price and it's own (really, really slow) mining efforts.



Thanks . I just got to know from the page that even for a 13-chain the difficulty is still 10.


Title: Re: [XPM] Primecoin Record Books
Post by: sepro on January 18, 2014, 04:18:45 PM
And we've got a new 2CC 11-chain as well, 127 digits !

http://primecoin.21stcenturymoneytalk.org/index.php?block_height=365304


Title: Re: [XPM] Primecoin Record Books
Post by: sepro on January 20, 2014, 07:16:38 PM
All 13-ch have been conquered!

A 1CC length 13 with 107 digits http://primecoin.21stcenturymoneytalk.org/index.php?block_height=368051



Title: Re: [XPM] Primecoin Record Books
Post by: raspcoin on January 21, 2014, 05:28:20 PM
Here is a comparison with Primecoin:

13 1CC: -
13 2CC: 94
13 TWN: -

12 1CC: 110, 97
12 2CC: 109, 103, 101
12 TWN: 106, 105, 103

11 1CC: 140, 116, 113
11 2CC: 116, 111, 110
11 TWN: 123, 114, 112

10 1CC: 146, 138, 132
10 2CC: 137, 130, 127
10 TWN: 138, 126, 119

9 1CC: 151, 125, 125
9 2CC: 167, 158, 131
9 TWN: 163, 138, 129

8 1CC: 167, 154, 136
8 2CC: 183, 153, 140
8 TWN: 172, 160, 156

7 1CC: 244, 188, 162
7 2CC: 208, 201, 193
7 TWN: 268, 240, 165

6 1CC: -
6 2CC: 134, 113, 97
6 TWN: 97, 91

can you please explain me what i am reading? :P I am not familiar with those mathematics/numbers/statistics. Although as a physics guy i am intrigued to research more about primecoin.

The first number is the length of the chain; it describes how many primes the chain consists of. It is conjectured that there are infinitely many chains of any length. The second symbol denotes the type of chain. 1CC and 2CC are Cunningham chains of different kinds, while TWN is a bi-twin chain. The following list of numbers tells how many digits the largest starting primes have.


Title: Re: [XPM] Primecoin Record Books
Post by: raspcoin on January 21, 2014, 08:40:05 PM
Can we place here the records from Datacoin blockchain?

I think that would be reasonable. Below is a comparison between all known Cunningham coins.

Code:

           XPM    DTC    BEK    CDN

 6  1CC    --     --     89     99
 6  2CC    134    90     91     96
 6  TWN    97     84     89     96

 7  1CC    244    100    104    103
 7  2CC    208    103    103    112
 7  TWN    268    99     105    98

 8  1CC    167    103    109    106
 8  2CC    183    106    106    112
 8  TWN    172    110    108    106

 9  1CC    151    115    107    108
 9  2CC    167    115    102    108
 9  TWN    163    114    103    108

 10 1CC    146    109    101    109
 10 2CC    137    108    101    105
 10 TWN    138    112    100    105

 11 1CC    140    103    96     100
 11 2CC    127    102    --     95
 11 TWN    123    106    --     100

 12 1CC    110    95     --     --
 12 2CC    109    92     --     --
 12 TWN    106    99     --     --

 13 1CC    107    --     --     --
 13 2CC    94     --     --     --
 13 TWN    105    --     --     --



Title: Re: [XPM] Primecoin Record Books
Post by: GreekBitcoin on January 22, 2014, 05:14:15 AM
Thank you very much :)


Title: Re: [XPM] Primecoin Record Books
Post by: raspcoin on January 26, 2014, 07:43:20 PM
Primecoin has found a new record 2CC of length 13 (block 375981 (http://primecoin.21stcenturymoneytalk.org/index.php?block_height=375981)). Ironically, it has exactly as many digits as the previous record (block 159217 (http://primecoin.21stcenturymoneytalk.org/index.php?block_height=159217)). I have updated the table to reflect the progress of the coins.

Code:

           XPM    DTC    BEK    CDN

 6  1CC    --     --     89     99
 6  2CC    134    90     91     96
 6  TWN    97     84     89     96

 7  1CC    244    100    104    103
 7  2CC    208    103    103    112
 7  TWN    268    99     105    98

 8  1CC    167    103    109    106
 8  2CC    183    106    106    112
 8  TWN    172    110    108    106

 9  1CC    151    115    107    108
 9  2CC    167    118    104    108
 9  TWN    163    114    103    108

 10 1CC    146    109    101    109
 10 2CC    137    108    101    105
 10 TWN    138    112    100    105

 11 1CC    140    103    96     100
 11 2CC    127    102    --     95
 11 TWN    123    106    --     100

 12 1CC    110    98     --     --
 12 2CC    109    92     --     --
 12 TWN    106    99     --     --

 13 1CC    107    --     --     --
 13 2CC    94     --     --     --
 13 TWN    105    --     --     --



Title: Re: [XPM] Primecoin Record Books
Post by: BartJSimpsom on January 31, 2014, 07:44:40 PM
I updated the Cunningham chain record list yesterday:

http://users.cybercity.dk/~dsl522332/math/Cunningham_Chain_records.htm

Congrats for the first Cunningham chain of length 13 with more than 100 digits!


Title: Re: [XPM] Primecoin Record Books
Post by: sepro on February 01, 2014, 10:52:17 PM
http://primecoin.21stcenturymoneytalk.org/index.php?block_height=383918

and a new TWN chain length 12 with 107 digits (one digit more).



Title: Re: [XPM] Primecoin Record Books
Post by: raspcoin on February 04, 2014, 02:03:43 AM
There are now five Cunningham-based coins.

Code:

           XPM    DTC    BEK    CDN    pNut

 13 1CC    107    --     --     --     --
 13 2CC    94     --     --     --     --
 13 TWN    105    --     --     --     --

 12 1CC    110    98     --     --     --
 12 2CC    109    92     --     --     --
 12 TWN    107    99     --     --     --

 11 1CC    140    103    96     100    --
 11 2CC    127    102    --     95     --
 11 TWN    123    106    --     100    --

 10 1CC    146    109    101    109    --
 10 2CC    137    108    101    105    --
 10 TWN    138    112    100    105    --

 9  1CC    151    115    107    108    96
 9  2CC    167    118    104    108    96
 9  TWN    163    114    105    108    96

 8  1CC    167    103    109    106    98
 8  2CC    183    106    108    112    107
 8  TWN    172    110    108    106    101

 7  1CC    244    100    104    103    99
 7  2CC    208    103    103    112    103
 7  TWN    268    99     105    98     108

 6  1CC    --     --     89     99     103
 6  2CC    134    90     91     96     110
 6  TWN    97     84     89     96     105

 5  1CC    --     --     --     --     108
 5  2CC    --     --     --     --     112
 5  TWN    --     --     --     --     108

 4  1CC    --     --     --     --     --
 4  2CC    --     --     --     --     --
 4  TWN    --     --     --     --     92

 diff      10.41  9.75   8.91   8.98   7.68
 blocks    388791 175108 109084 97641  38482



Title: Re: [XPM] Primecoin Record Books
Post by: raspcoin on April 06, 2014, 11:14:27 PM
New record for largest bi-twin chain of length 12: http://primecoin.21stcenturymoneytalk.org/index.php?block_height=476538 (http://primecoin.21stcenturymoneytalk.org/index.php?block_height=476538)


Title: Re: [XPM] Primecoin Record Books
Post by: markm on April 06, 2014, 11:55:01 PM
CDN (Canadian Digital Notes) has nothing to do with prime numbers.

See http://galaxies.mygamesonline.org/digitalisassets.html

It has been around for years, since back when GRoUPcoin and DeVCoin were new.

-MarkM-


Title: Re: [XPM] Primecoin Record Books
Post by: raspcoin on April 07, 2014, 03:46:43 AM
CDN (Canadian Digital Notes) has nothing to do with prime numbers.

See http://galaxies.mygamesonline.org/digitalisassets.html

It has been around for years, since back when GRoUPcoin and DeVCoin were new.

-MarkM-


In this context, CDN refers to CDNcoin (https://bitcointalk.org/index.php?topic=393190.0). An official currency symbol is not the only thing that coin is missing.


Title: Re: [XPM] Primecoin Record Books
Post by: nutildah on August 04, 2015, 06:59:30 PM
Now _this_ is a coin that actually _does_ something!

Out of the thousands of coins that have come since, I doubt any have had an equal impact on the world of scientific research. Of course, 999 of those devs were just looking to get rich by lying to the unsuspecting. Now we know better.


Title: Re: [XPM] Primecoin Record Books
Post by: nutildah on August 05, 2015, 01:33:21 AM
I just can't believe nobody was inspired by the fact that somebody once made a coin that was useful to society. They probably were, just not this year.


Title: Re: [XPM] Primecoin Record Books
Post by: hardcoreprime on September 09, 2016, 12:30:33 PM
Anyone know how to find out if there have been any new prime number found lately?  Is there a way to check from the wallet?


Title: Re: [XPM] Primecoin Record Books
Post by: BartJSimpsom on February 10, 2017, 09:35:34 AM
You can use listtopprimes to find the top primes for each form which were found by Primecoin, e.g "listtopprimes 14 1CC" to get the largest Cunningham chains of first kind of length 14 (abbreviated as CC14f).

As I've just seen today, Primecoin broke the record for CC14f just two weeks ago. This is the first world record for Primecoin since more than 2 years.

2017-01-25: CC14f with 96 digits: 814204479584287721291003734102406590210007590854164398588152723240001514789312*47#-1

Update of my Cunningham chain record list will follow shortly.

Regards,
Dirk