Bases 501-1030 reservations/statuses/primes - Page 61

gd_barnes · 2010-07-15, 08:51

I've done some small-conjecture testing on some bases that had 1 or 2 k's remaining at n=5K the last 2-3 days. Here is what was done:

R533 with CK=88 has only k=74 remaining; highest prime 56*533^898-1
S528 with CK=116 is proven; highest prime 64*528^10186+1
S550 with CK=115 has only k=94 remaining; highest prime 75*550^5841+1
S701 with CK=92 has only k=52 remaining; highest prime 12*701^969+1

Note the mostly extremely small highest primes. Only 2 primes were found for all 6 bases for n=5K-25K including 2 bases in the 251-500 thread. That's 2 primes found in that range for the last 10 bases that I have tested. :-( Oh well, a lot more 1kers for Ian! :-)

All have been tested to n=25K or until proven and are released.

New reservations:
R530 & S552 to n=25K.

gd_barnes · 2010-07-15, 23:11

S552 with CK=78 is proven; highest prime 26*552^22956+1

R805 with CK=92 is proven; highest prime 90*805^2212-1

After finding only a total of two n=5K-25K primes in 10 bases with this small effort that I've been working on, S552 had 2 primes n>5K itself for the proof.

On R805, I was surprised that there were any bases left with CK<100 that could be proven by n=2500. I can now say that there are none left that can be proven by n=1K. Some of them I'm taking to n=5K and will reserve if they have <= 2 k's remaining at that point.

I'm clearing out a little bit of fluff and evening up the sides a little before going out of town next week.

rogue · 2010-07-16, 00:14

Quote:

Originally Posted by gd_barnes

On R805, I was surprised that there were any bases left with CK<100 that could be proven by n=2500. I can now say that there are none left that can be proven by n=1K. Some of them I'm taking to n=5K and will reserve if they have <= 2 k's remaining at that point.

When I knocked out a bunch a few weeks ago I had only gone to n=2000. I just missed this one (and a couple of others with lower conjectured k).

MyDogBuster · 2010-07-16, 18:44

Sierp 582, the last k, tested n=25K-100K. Nothing found.

Results emailed. Base released

Reserving more 1k's to n=100K:

S635, S643, S650, S677, S679

gd_barnes · 2010-07-16, 21:25

Reserving S619, S622, S669, and R875 to n=25K.

All have either 1 or 2 k's remaining at n=5K so I'll probably have more 1kers to add later on.

This will officially finish testing all CK<100 bases that have either 1 or 2 k's remaining at n=1K. There are quite a few that have 3 remaining at n=1K that could easily drop to 1 or 2 remaining by n=5K or even be lucky enough to be proven. But this effort just takes too much admin effort so I won't be testing many of those and may not test any at all.

Batalov · 2010-07-17, 20:02

Reserving S510, R510 and R505 to n=25K.

Batalov · 2010-07-18, 04:58

R851, S937, and S967 are proven.

MyDogBuster · 2010-07-18, 23:41

Sierp 605, the last k, tested n=50K-100K. Nothing found.

Results emailed. Base released

Batalov · 2010-07-19, 04:21

S589, S709, and S916 are proven.
(Of these S589 was interesting.)

Batalov · 2010-07-19, 23:34

S526 is proven.
R510, S510 and R505 are done to 25K and released.
R416 is done to 34K and released.

MyDogBuster · 2010-07-20, 01:47

Sierp 626, the last k, tested n=50K-100K. Nothing found.

Results emailed. Base released

2010-07-15, 08:51	#661
gd_barnes May 2007 Kansas; USA 10414₁₀ Posts	I've done some small-conjecture testing on some bases that had 1 or 2 k's remaining at n=5K the last 2-3 days. Here is what was done: R533 with CK=88 has only k=74 remaining; highest prime 56533^898-1 S528 with CK=116 is proven; highest prime 64528^10186+1 S550 with CK=115 has only k=94 remaining; highest prime 75550^5841+1 S701 with CK=92 has only k=52 remaining; highest prime 12701^969+1 Note the mostly extremely small highest primes. Only 2 primes were found for all 6 bases for n=5K-25K including 2 bases in the 251-500 thread. That's 2 primes found in that range for the last 10 bases that I have tested. :-( Oh well, a lot more 1kers for Ian! :-) All have been tested to n=25K or until proven and are released. New reservations: R530 & S552 to n=25K. Last fiddled with by gd_barnes on 2010-07-15 at 20:01 Reason: remove bases <= 500

2010-07-16, 18:44	#664
MyDogBuster May 2008 Wilmington, DE 2852₁₀ Posts	Sierp 582 Sierp 582, the last k, tested n=25K-100K. Nothing found. Results emailed. Base released Reserving more 1k's to n=100K: S635, S643, S650, S677, S679 Last fiddled with by MyDogBuster on 2010-07-16 at 18:49

2010-07-18, 23:41	#668
MyDogBuster May 2008 Wilmington, DE 2²·23·31 Posts	Sierp 605 Sierp 605, the last k, tested n=50K-100K. Nothing found. Results emailed. Base released

2010-07-20, 01:47	#671
MyDogBuster May 2008 Wilmington, DE 2²×23×31 Posts	Sierp 626 Sierp 626, the last k, tested n=50K-100K. Nothing found. Results emailed. Base released

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2010-07-15, 23:11	#662
gd_barnes May 2007 Kansas; USA 2·41·127 Posts	S552 with CK=78 is proven; highest prime 26552^22956+1 R805 with CK=92 is proven; highest prime 90805^2212-1 After finding only a total of two n=5K-25K primes in 10 bases with this small effort that I've been working on, S552 had 2 primes n>5K itself for the proof. On R805, I was surprised that there were any bases left with CK<100 that could be proven by n=2500. I can now say that there are none left that can be proven by n=1K. Some of them I'm taking to n=5K and will reserve if they have <= 2 k's remaining at that point. I'm clearing out a little bit of fluff and evening up the sides a little before going out of town next week.

2010-07-16, 21:25	#665
gd_barnes May 2007 Kansas; USA 2·41·127 Posts	Reserving S619, S622, S669, and R875 to n=25K. All have either 1 or 2 k's remaining at n=5K so I'll probably have more 1kers to add later on. This will officially finish testing all CK<100 bases that have either 1 or 2 k's remaining at n=1K. There are quite a few that have 3 remaining at n=1K that could easily drop to 1 or 2 remaining by n=5K or even be lucky enough to be proven. But this effort just takes too much admin effort so I won't be testing many of those and may not test any at all.

2010-07-17, 20:02	#666
Batalov "Serge" Mar 2008 Phi(4,2^7658614+1)/2 9,497 Posts	Reserving S510, R510 and R505 to n=25K.