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Old 2013-08-17, 23:58   #56
Kosmaj
 
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The discussion about Top-5000 cutoff moved to a new thread:

http://www.mersenneforum.org/showthread.php?t=18482


Quote:
Originally Posted by Batalov View Post
Sure thing. I emailed C.C. (and added a comment to the prime, too).

I put the asterisk in my morning message, but forgot to post the footnote. It is this:
_______________________
*Note that the Top-5000 cutoff plane will pass exactly 1,000,000 bits today or tomorrow. For the record, right now it is still at 999,400 bits' size, but the 1,290,000-bits abominable primes keep on pouring in. Mark my words Next state of the Top5000 database will be that all primes from position ~1,500 to 5,000 will be ~1,290,000 bits.
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Old 2013-08-18, 11:09   #57
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The candidate is perhaps the first as well with 100 primes known wearing its base 4 mask. Interestingly out of the 212 primes found, 119 are translatable to base 4, and only 93 not.

I have a hunch that the mismatch is not random. Base 4 is an extremely interesting base to analyse. It is the first square base, and resultant on that no prime p has modulo of p-1.

Generalised cunningham chains in square bases provide longer chains, and I think this is related to the last statement.
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Old 2013-08-18, 17:11   #58
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I stopped the sieve for n=800-1000k at p=9.6T (which is more than optimal) and updated the zip file (22544.zip) in the top post.

Sieving n=1.03-2M is already in progress...
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Old 2013-08-18, 18:23   #59
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Output logging to file pfgw.out
Primality testing 22544089918041953*3*5*11*13*19*29*37*53*59*61*67*83*101*107*131*2^587833-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 7, base 1+sqrt(7)
Generic modular reduction using generic reduction AVX FFT length 60K, Pass1=320, Pass2=192 on A 587965-bit number
Calling Brillhart-Lehmer-Selfridge with factored part 99.98%
22544089918041953*3*5*11*13*19*29*37*53*59*61*67*83*101*107*131*2^587833-1 is prime! (2335.9659s+0.0007s)

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Old 2013-08-19, 15:18   #60
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630000-635000 range completed - no primes.
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Old 2013-08-19, 20:44   #61
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732-740 complete, no primes
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Old 2013-08-21, 00:06   #62
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Primality testing 22544089918041953*3*5*11*13*19*29*37*53*59*61*67*83*101*107*131*2^549598-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 7, base 1+sqrt(7)
Generic modular reduction using generic reduction AVX FFT length 60K, Pass1=320, Pass2=192 on A 549730-bit number
Calling Brillhart-Lehmer-Selfridge with factored part 99.98%
22544089918041953*3*5*11*13*19*29*37*53*59*61*67*83*101*107*131*2^549598-1 is prime! (1954.0706s+0.0007s)


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Old 2013-08-21, 06:18   #63
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Taking 740-742
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Old 2013-08-22, 06:18   #64
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500,001-600,000 Complete
4 Primes found


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Old 2013-08-22, 08:20   #65
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Quote:
Originally Posted by Lennart View Post
500,001-600,000 Complete
4 Primes found


Lennart
Congrats to all the searchers, and well done Lennart. Let's get this done to 1 megabit and then we are in business with the top 5000.
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Old 2013-08-22, 20:18   #66
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Taking 742-750
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