[XPM] Primecoin Record Books

[Mrko]

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!

[1714950389]

1714950389

[1714950389]

1714950389

[1714950389]

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[1714950389]

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[8bitPunk]

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)

[rethaw]

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

[8bitPunk]

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)

[innovation]

congrats！

[ManBearPig]

This is great!

[BazkieBumpercar]

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

Anyway, very cool

[Tjopper]

Impressive!
But not mine :S

[Kiaya]

Amazing result. I was close - but no cigar.

[n4ru]

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?

[Petr1fied]

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.

[Sunny King]

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.

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

[Petr1fied]

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.

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

Fixed.

[Vorksholk]

Awesome! Not mine either, unfortunately.

[Sunny King]

Good job Petrified! What primality test you are testing on your crawler?

[Petr1fied]

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.

[TheSeven]

Hm, none of those are mine so far.

[8bitPunk]

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)

[shakezula]

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.

[maco]

Congrats!