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Author Topic: [XPM] Primecoin Record Books  (Read 33280 times)
Mrko
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July 10, 2013, 09:18:51 AM
 #21

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!
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8bitPunk
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July 10, 2013, 09:38:58 AM
 #22

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 to test these primes - results below

Code:
15746436948707162347681191092622506406480521554672382866529113365451686336191616303820985251295842020684640523576306336183730859560 - Evaluator failed

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

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rethaw
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July 10, 2013, 09:41:00 AM
 #23

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 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

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July 10, 2013, 10:09:25 AM
 #24


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)

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innovation
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July 10, 2013, 10:22:48 AM
 #25

congrats!
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July 10, 2013, 11:55:10 AM
 #26

This is great!

I tweet crypto nonsense: https://twitter.com/DunningKruger_
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July 10, 2013, 12:05:17 PM
 #27

Woot! Not sure it's me, I sent some stuff I mined on windows to my linux wallet and then destroyed the windows wallet Tongue

Anyway, very cool Cheesy


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▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄
.
. OPEN MONEY PLATFORM .
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{}
Tjopper
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July 10, 2013, 12:10:15 PM
 #28

Impressive!
But not mine :S

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July 10, 2013, 12:21:40 PM
 #29

Amazing result. I was close - but no cigar.
n4ru
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July 10, 2013, 01:25:17 PM
 #30


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?

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Petr1fied
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July 10, 2013, 02:39:41 PM
 #31

Both fail on #9 in my Block Crawler:

Block 2044
Block 5355

Of course that is dependent of my code for generating the chain being correct. Wink
Sunny King
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July 10, 2013, 02:47:04 PM
 #32

Both fail on #9 in my Block Crawler:

Block 2044
Block 5355

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

You miss the first prime. The first prime is origin+1 for 2CC.
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July 10, 2013, 02:57:18 PM
 #33

Both fail on #9 in my Block Crawler:

Block 2044
Block 5355

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

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

Fixed. Cheesy
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July 10, 2013, 03:01:27 PM
 #34

Awesome! Not mine either, unfortunately.

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July 10, 2013, 03:01:56 PM
 #35

Good job Petrified! What primality test you are testing on your crawler?
Petr1fied
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July 10, 2013, 03:13:35 PM
 #36

It's a php function gmp_prob_prime 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.
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July 10, 2013, 07:54:05 PM
 #37

Hm, none of those are mine so far.

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July 11, 2013, 03:51:31 AM
 #38

Is block 2616's TWN8 chain with origin length of 111 digits 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)

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July 11, 2013, 04:08:42 AM
 #39

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.
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July 11, 2013, 04:10:35 AM
 #40

Congrats!
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