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-   -   Bases 251-500 reservations/statuses/primes (https://www.mersenneforum.org/showthread.php?t=12993)

gd_barnes 2015-04-06 03:54

R319 and R497 are complete to n=100K; 3 primes were found for n=50K-100K; primes and k's remaining shown below; bases released.

R319; 2 primes, 4 k's remaining
R497; 1 prime, 4 k's remaining

Primes:
1244*319^51654-1
1266*319^85179-1
28*497^61627-1

Batalov 2015-04-06 15:11

Reserving S458 to n=400K

Batalov 2015-04-06 20:10

Reserving S353 to n<=330k; S401, S409, S426 to n<=320k; and S797 to n<=290k.

Batalov 2015-04-06 20:15

S353, S401, S409, S426, and S797 are done. Results emailed. Bases released.

Note that S426 sieve file still contained n==0 (mod 3), even though these are sums of cubes, ergo composite.
Remove them from the remainder of the sieve file. srsieve [B]does not[/B] remove them.
When reserving a base with k=8, 27, 64, etc (you get the idea, cubes) - check the sieve files for n==0 (mod 3) for these k's.

When reserving a Sierp base with k=4, 64, 324, 1024, 2500, etc, - check the sieve files for n==0 (mod 4). Frequently these are luckily removed by a small factor, but not always.

gd_barnes 2015-04-06 20:23

One note about the algebraic n's: Quite a few of the sieve files on the project were done with versions of srsieve that did not remove algebraic n's so this is not necessarily a "bug" in srsieve so to speak. Newer versions of srsieve may correctly remove the n==(0 mod 3) on algebraic n's where k*b^n+1 simplifies to q^3+1. I have not checked this.

rebirther 2015-04-16 15:39

Reserving S499 to n=100K (25-100k) for BOINC

rebirther 2015-04-19 09:11

Reserving S450 to n=400K (200-400k) for BOINC

MyDogBuster 2015-04-19 22:44

R460
 
R460 tested n=10K-25K

75 primes found - 185 remain

Results emailed - Base released

[COLOR=Red]R490 reserved to n=25K[/COLOR]

rebirther 2015-04-22 15:38

S499 tested to n=100K (25-100k)

7 primes found, 23k remain

754*499^29709+1
1158*499^30143+1
1714*499^39275+1
1636*499^46992+1
1984*499^70797+1
1494*499^78183+1
246*499^81050+1

Results emailed - Base released

MyDogBuster 2015-04-24 18:41

R490
 
R490 tested n=10K-25K

63 primes found - 145 remain

Results emailed - Base released

rebirther 2015-04-27 16:51

Reserving S338 to n=100K (50-100k) for BOINC

Reserving S342 to n=100K (50-100k) for BOINC


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