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Old 2022-06-12, 13:51   #100
germanNinja
 
Apr 2018

2210 Posts
Default Updated Sieve Files

Sieve files for k*2^n-1

Here are the latest sieve files for 4 < k < 10000 and n < 12M. pmin and pmax give a range of what's been completed.

We kindly ask that srsieve AND psieve be credited with any primes found with these sieve files. Those are the two sieve programs used in the sieve. Should anyone wish to credit the effort (PrimeGrid) that is perfectly fine, but certainly NOT required.

Please note the new file locations. Comcast has discontinued free hosting, so these files are now hosted on PrimeGrid. The main url for these files is now http://www.primegrid.com/sieving/rsp. Because it was requested and especially since PrimeGrid has to pay for outgoing bandwidth, subsets of all the sieves for k < 300 are now available.

Active Sieves
rsp7M_20220612.abcd - (136,662,805 terms) p~765P
rsp8M_20220612.abcd - (136,664,257 terms) p~765P
rsp9M_20220612.abcd - (136,688,634 terms) p~765P
Suspended Sieves
rsp1M_20150702.abcd - (145,955,447 terms) p=100P
rsp2M_20150702.abcd - (145,932,255 terms) p=100P
rsp3M_20150702.abcd - (145,537,042 terms) p=100P
rsp4M_20150702.abcd - (140,228,537 terms) p=400P
rsp5M_20150702.abcd - (140,245,425 terms) p=400P
rsp6M_20150702.abcd - (140,213,750 terms) p=400P
rsp10M_20000T.abcd - (149,983,666 terms) p=20P
rsp11M_20000T.abcd - (149,988,780 terms) p=20P
rsp12M_20000T.abcd - (149,964,256 terms) p=20P
Shortened Sieves (k < 300)
rsp7M_20220612_k_lt_300.abcd - (3,962,030 terms) p~765P, k < 300
rsp8M_20220612_k_lt_300.abcd - (3,959,882 terms) p~765P, k < 300
rsp9M_20220612_k_lt_300.abcd - (3,997,174 terms) p~765P, k < 300

rsp1M_20150702_k_lt_300.abcd - (4,247,662 terms) p=100P, k < 300
rsp2M_20150702_k_lt_300.abcd - (4,243,186 terms) p=100P, k < 300
rsp3M_20150702_k_lt_300.abcd - (4,229,258 terms) p=100P, k < 300
rsp4M_20150702_k_lt_300.abcd - (4,066,647 terms) p=400P, k < 300
rsp5M_20150702_k_lt_300.abcd - (4,064,687 terms) p=400P, k < 300
rsp6M_20150702_k_lt_300.abcd - (4,067,405 terms) p=400P, k < 300
rsp10M_20000T_k_lt_300.abcd - (4,397,959 terms) p=20P, k < 300
rsp11M_20000T_k_lt_300.abcd - (4,399,348 terms) p=20P, k < 300
rsp12M_20000T_k_lt_300.abcd - (4,401,000 terms) p=20P, k < 300
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Old 2022-11-13, 00:59   #101
germanNinja
 
Apr 2018

268 Posts
Default Updated Sieve Files

Sieve files for k*2^n-1

Here are the latest sieve files for 4 < k < 10000 and n < 12M. pmin and pmax give a range of what's been completed.

We kindly ask that srsieve AND psieve be credited with any primes found with these sieve files. Those are the two sieve programs used in the sieve. Should anyone wish to credit the effort (PrimeGrid) that is perfectly fine, but certainly NOT required.

Please note the new file locations. Comcast has discontinued free hosting, so these files are now hosted on PrimeGrid. The main url for these files is now http://www.primegrid.com/sieving/rsp. Because it was requested and especially since PrimeGrid has to pay for outgoing bandwidth, subsets of all the sieves for k < 300 are now available.

Active Sieves
rsp7M_20221112.abcd - (136,432,497 terms) p~819P
rsp8M_20221112.abcd - (136,434,645 terms) p~819P
rsp9M_20221112.abcd - (136,423,563 terms) p~819P
Suspended Sieves
rsp1M_20150702.abcd - (145,955,447 terms) p=100P
rsp2M_20150702.abcd - (145,932,255 terms) p=100P
rsp3M_20150702.abcd - (145,537,042 terms) p=100P
rsp4M_20150702.abcd - (140,228,537 terms) p=400P
rsp5M_20150702.abcd - (140,245,425 terms) p=400P
rsp6M_20150702.abcd - (140,213,750 terms) p=400P
rsp10M_20000T.abcd - (149,983,666 terms) p=20P
rsp11M_20000T.abcd - (149,988,780 terms) p=20P
rsp12M_20000T.abcd - (149,964,256 terms) p=20P
Shortened Sieves (k < 300)
rsp7M_20221112_k_lt_300.abcd - (3,955,534 terms) p~819P, k < 300
rsp8M_20221112_k_lt_300.abcd - (3,953,210 terms) p~819P, k < 300
rsp9M_20221112_k_lt_300.abcd - (3,956,282 terms) p~819P, k < 300

rsp1M_20150702_k_lt_300.abcd - (4,247,662 terms) p=100P, k < 300
rsp2M_20150702_k_lt_300.abcd - (4,243,186 terms) p=100P, k < 300
rsp3M_20150702_k_lt_300.abcd - (4,229,258 terms) p=100P, k < 300
rsp4M_20150702_k_lt_300.abcd - (4,066,647 terms) p=400P, k < 300
rsp5M_20150702_k_lt_300.abcd - (4,064,687 terms) p=400P, k < 300
rsp6M_20150702_k_lt_300.abcd - (4,067,405 terms) p=400P, k < 300
rsp10M_20000T_k_lt_300.abcd - (4,397,959 terms) p=20P, k < 300
rsp11M_20000T_k_lt_300.abcd - (4,399,348 terms) p=20P, k < 300
rsp12M_20000T_k_lt_300.abcd - (4,401,000 terms) p=20P, k < 300
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Old 2022-11-13, 05:15   #102
sweety439
 
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Nov 2016
(P^81993)SZ base 36

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Quote:
Originally Posted by germanNinja View Post
[B]Here are the latest sieve files for 4 < k < 10000 and n < 12M. pmin and pmax give a range of what's been completed.
Why k must be > 4? I know that for even k the form can be reduced to k' = k/2, but what about k = 1 and k = 3?

Also, are there sieve files for k*2^n+1 as well as k*2^n-1?

Last fiddled with by sweety439 on 2022-11-13 at 05:16
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Old 2022-11-13, 16:24   #103
VBCurtis
 
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"Curtis"
Feb 2005
Riverside, CA

15AF16 Posts
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The files you ask about are tested by PrimeGrid themselves. The files provided here are their "extra" files; the sieve tests +1 and -1 forms at the same time, but PG's efforts look for primes of +1 form and k=3 of the -1 form.
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Old 2022-11-26, 15:02   #104
Happy5214
 
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"Alexander"
Nov 2008
The Alamo City

86210 Posts
Default

Quote:
Originally Posted by sweety439 View Post
Why k must be > 4? I know that for even k the form can be reduced to k' = k/2, but what about k = 1 and k = 3?

Also, are there sieve files for k*2^n+1 as well as k*2^n-1?
Quote:
Originally Posted by VBCurtis View Post
The files you ask about are tested by PrimeGrid themselves. The files provided here are their "extra" files; the sieve tests +1 and -1 forms at the same time, but PG's efforts look for primes of +1 form and k=3 of the -1 form.
And to be explicit about k=1 (though this should be obvious), the -1 form (i.e. Mersenne numbers) is sieved (well, TF'd, but this is the same thing) by GIMPS, while the +1 form (i.e. Fermat numbers) is sparse enough to not really need a sieve, as we've already hit the practical primality testing limits.
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