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-   -   Search for prime Gaussian-Mersenne norms (and G-M-cofactors) (https://www.mersenneforum.org/showthread.php?t=19235)

Cruelty 2008-05-31 17:56

1.29-1.3M complete, reserving 1.3-1.31M

Cruelty 2008-06-24 05:51

1.3-1.31M complete, reserving 1.31-1.32M
There was an FFT jump near 1.305M from 128k to 192k - iteration times increased ~52%. Currently it takes ~4220 sec. to test single candidate using 3GHz Core2 CPU.

Cruelty 2008-07-21 17:52

1.31-1.32M complete, reserving 1.32-1.33M

Cruelty 2008-08-17 20:41

1.32-1.33M complete, reserving 1.33-1.34M

Cruelty 2008-09-20 22:19

1.33-1.34M complete, reserving 1.34-1.35M

Cruelty 2008-10-08 05:09

(2^1347781-2^673891+1)/5 is 3-PRP! (12586.4712s+0.0013s)

I have verified it with PFGW @ base=3, and right now I am running additional tests at other bases :smile:

Kosmaj 2008-10-08 12:48

That's the new PRP record, isn't it??

You really had a happy night! A prime with almost 2M bits and the new PRP record :shock:

Cruelty 2008-10-10 20:07

The new PRP record has 405722 digits :smile:
[quote](2^1347781-2^673891+1)/5 is 3-PRP, originally found using LLR ver.3.7.1 for Windows (no factor till 2^51).
This is a Fermat PRP at base 3, 5, 7, 11, 13, 17, 101, 137 - confirmed with PFGW ver.1.2.0 for Windows.
Additionally using the following command with PFGW:
pfgw -l -tc -a1 -q(2^1347781-2^673891+1)/5
I've received the following result:
Primality testing (2^1347781-2^673891+1)/5 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 2+sqrt(7)
Calling N-1 BLS with factored part 0.03% and helper 0.00% (0.08% proof)
(2^1347781-2^673891+1)/5 is Fermat and Lucas PRP! (104628.5231s+0.0022s)[/quote]

Cruelty 2008-10-12 20:48

1.34-1.35M complete, reserving 1.35-1.36M

Cruelty 2008-11-08 17:48

1.35-1.36M complete, reserving 1.36-1.37M

Cruelty 2008-12-05 20:19

1.36-1.37M complete, reserving 1.37-1.38M


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