Bases 251-500 reservations/statuses/primes - Page 65

Batalov · 2011-02-21, 03:34

While searching for large GFNs, I found a 4*257^160422+1 prime.

I didn't realize that S257 didn't have known primes for k=4, so this is useful for CRUS, and S257 is now a 1-ker with k=40.

Batalov · 2011-02-21, 04:08

Wait, no, I only tested k=4 and only in context of other 4*b^n+1 candidates (only b's with n=4m+2 remaining after small low sieve).

k=40 is at 100K for S257, as far as I understand.

MyDogBuster · 2011-02-21, 04:08

Quote:

I didn't realize that S257 didn't have known primes for k=4, so this is useful for CRUS, and S257 is now a 1-ker with k=40.

Yes, it is useful.

Serge, did you test k=40 to n=160K also. If so, can you post the results?

Batalov · 2011-02-21, 04:19

No, I simply tested k=4, b=257 from n>=1 (and still going).

(I've already checked b=17, b=83 and some others in the past -- all of these had small primes, so their existing search limits were low. I had repeated the same search strategy here.)

gd_barnes · 2011-02-21, 05:56

Quote:

Originally Posted by Batalov

Wait, no, I only tested k=4 and only in context of other 4*b^n+1 candidates (only b's with n=4m+2 remaining after small low sieve).

k=40 is at 100K for S257, as far as I understand.

Serge,

Can you add CRUS to the prover code for this prime?

Thanks,
Gary

Batalov · 2011-02-21, 06:10

Well, I did this for my own GFN search (code p286), but I've emailed C.Caldwell to change code to code p258.

EDIT: I agree with your message below. Most of the bases I am testing are not needed for CRUS, but some are and I don't see any reason to not to add CRUS.

gd_barnes · 2011-02-21, 06:21

Quote:

Originally Posted by Batalov

Well, I did this for my own GFN search (code p286), but yeah, ok, I'll email C.Caldwell to change code to code p258.

Ah, OK. I saw that you were doing it for a GFN search but I thought you were doing that as a result of this project. That's a gray area. It's up to you how it is reported. Regardless; nice find!

Puzzle-Peter · 2011-02-27, 06:20

Reserving R366 to n=25K

gd_barnes · 2011-03-02, 03:25

Dmitry reported in a PM that S333 is complete to n=25K. 73 k's were found prime for n=2.5K-25K. 51 k's remain. The base is released.

Batalov · 2011-03-02, 07:12

Reserving S396 to n=25K.

Batalov · 2011-03-03, 09:25

Here is the status of S396 at 10K - for the webpages.
31 k's remain. (technically, 32. One k is eliminated in a higher speed-test run for a few low bases)

Not bad for an even base (and not 1(mod 3)) with CK of 5253.
Continuing to 25K.

2011-02-21, 06:10	#710
Batalov "Serge" Mar 2008 Phi(4,2^7658614+1)/2 9,497 Posts	Well, I did this for my own GFN search (code p286), but I've emailed C.Caldwell to change code to code p258. EDIT: I agree with your message below. Most of the bases I am testing are not needed for CRUS, but some are and I don't see any reason to not to add CRUS. Last fiddled with by Batalov on 2011-02-21 at 06:43

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2011-02-21, 03:34	#705
Batalov "Serge" Mar 2008 Phi(4,2^7658614+1)/2 9,497 Posts	While searching for large GFNs, I found a 4*257^160422+1 prime. I didn't realize that S257 didn't have known primes for k=4, so this is useful for CRUS, and S257 is now a 1-ker with k=40.

2011-02-21, 04:08	#706
Batalov "Serge" Mar 2008 Phi(4,2^7658614+1)/2 2519₁₆ Posts	Wait, no, I only tested k=4 and only in context of other 4*b^n+1 candidates (only b's with n=4m+2 remaining after small low sieve). k=40 is at 100K for S257, as far as I understand.

2011-02-21, 04:19	#708
Batalov "Serge" Mar 2008 Phi(4,2^7658614+1)/2 10010100011001₂ Posts	No, I simply tested k=4, b=257 from n>=1 (and still going). (I've already checked b=17, b=83 and some others in the past -- all of these had small primes, so their existing search limits were low. I had repeated the same search strategy here.)

2011-02-27, 06:20	#712
Puzzle-Peter Jun 2009 2²·3²·19 Posts	Reserving R366 to n=25K

2011-03-02, 03:25	#713
gd_barnes May 2007 Kansas; USA 2·41·127 Posts	Dmitry reported in a PM that S333 is complete to n=25K. 73 k's were found prime for n=2.5K-25K. 51 k's remain. The base is released.

2011-03-02, 07:12	#714
Batalov "Serge" Mar 2008 Phi(4,2^7658614+1)/2 2519₁₆ Posts	Reserving S396 to n=25K.