[XPM] Primecoin Record Books

[GreekBitcoin]

Thank you very much

[raspcoin]

Primecoin has found a new record 2CC of length 13 (block 375981). Ironically, it has exactly as many digits as the previous record (block 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    --     --     --

[BartJSimpsom]

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!

[sepro]

http://primecoin.21stcenturymoneytalk.org/index.php?block_height=383918

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

[raspcoin]

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

[raspcoin]

New record for largest bi-twin chain of length 12: http://primecoin.21stcenturymoneytalk.org/index.php?block_height=476538

[markm]

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-

[raspcoin]

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. An official currency symbol is not the only thing that coin is missing.

[nutildah]

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.

[nutildah]

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.

[hardcoreprime]

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?

[BartJSimpsom]

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

[Tc_Mad]

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

Did this coin die? Why? I feel like it's a hidden gem if someone decides to market it especially in mathematics departments around the world.

[onemanatatime]

How often does XPM find a new prime number? Does it get longer to find each new prime number?

[rdebourbon]

How often does XPM find a new prime number? Does it get longer to find each new prime number?

A new prime chain is found with each block (~1minute). Within a prime chain, each number is prime and is larger than the one before. Currently we're looking for chains with at least 10 consecutive primes. The first prime in the chain is guaranteed to be at least 256bits long - but could actually be much much bigger depending on the primorial and multiplier chosen. Miners don't tend to look for larger primes as the maths involved takes longer - hence mining is slower. 

This is a very intellectually challenging coin to write a good miner for - there are several conflicting aspects that directly influence mining speed and pretty much every design decision becomes a trade off
For example:
1. Mining with a large primorial increases the base prime probability at the cost of fundamentally larger numbers that are slower to verify and work with.
2. Mining with lots of primes increases the sieve accuracy and reduces the number of false positives that then get passed through to chain length determination, but using too many primes above a certain threshold removes so few candidates that its actually faster to deal with false positives!

[bt2084]

This is one of the coolest coins out there yet no one really seems to be leading it's marketing anymore.  Is it still active?  It still trades so I wonder if anyone is mining it, and where are the best optimized miners for it?  Seems like some graduate school professor could take this thing over and make it last decades.

[theoulis]

https://motherboard.vice.com/en_us/article/pa8dw8/prime-number-pattern-mimics-crystal-patterns
Sunny, your thoughts?