Bases 501-1030 reservations/statuses/primes - Page 47

MyDogBuster · 2010-05-19, 16:51

Sierp Base 677
Conjectured k = 112
Covering Set = 3, 113
Trivial Factors k == 1 mod 2(2) and k == 12 mod 13(13)

Found Primes: 50k's - File emailed

Remaining: 3k's - Tested to n=25K
34*677^n+1

Trivial Factor Eliminations: 4k's

Base Released

HTML created

gd_barnes · 2010-05-20, 08:05

Reserving several bases with CK<100 to n=25K from my former k=2 search, all that have only 1 or 2 k's remaining at n=10K, as follows:

R581
R845
R968
S626
S695
S752
S758
S917

Many are extremely low weight and only one has a CK>50. All should complete to n=25K in ~2-3 days running on 2 cores. Hopefully I'll prove 1 or 2 of them.

This should add a few bases to the 1k thread. :-)

Ian, I'll take care of showing these on the pages so that we aren't sending files back and forth.

Gary

gd_barnes · 2010-05-21, 07:33

Reserving the remaining five CK=10 and 12 Sierp bases (1 is b<500 shown in b=251-500 thread) to n=25K:

S563
S593
S714
S828

This is the last of my testing small conjectured bases for an extended period. The small Sierp bases are beginning to catch up with the Riesel bases now.

The lowest CK on either side is now 14.

ETA is < 2 days on 1 core.

MyDogBuster · 2010-05-22, 23:43

Reserving Riesel 543 as new to n=25K

gd_barnes · 2010-05-23, 04:07

Quote:

Originally Posted by gd_barnes

Reserving several bases with CK<100 to n=25K from my former k=2 search, all that have only 1 or 2 k's remaining at n=10K, as follows:

R581
R845
R968
S626
S695
S752
S758
S917

Gary

All 8 bases from this former k=2 search that had 1 or 2 k's remaining are complete to n=25K. All are released.

Not a single base was proven! Primes for n=5K-25K:

2*758^8309+1
58*581^16145-1

Both were 2k bases so 1k still remains. :-( Final status:

Code:

           k(s)
base  CK  remain  highest prime
R581  98     2    58*581^16145-1
R845  46     2    22*845^593-1
R968  16     4    2*968^1750-1
S626  10     2    5*626^2069+1
S695  28    2,8   26*695^1771+1
S752  16     2    15*752^1128+1
S758  10     8    2*758^8309+1
S917  16     2    8*917^53+1

7 more bases for the 1k thread! More to follow with the CK=10 & CK=12 finishing effort...

Mathew · 2010-05-23, 04:24

R702 is complete to n=25
CK=75
k=36 is removed by algebraic factorizations

1k remains k=32

Sorry Gary another base to the 1k thread

Attached are the results.

gd_barnes · 2010-05-23, 04:25

Quote:

Originally Posted by gd_barnes

Reserving the remaining five CK=10 and 12 Sierp bases (1 is b<500 shown in b=251-500 thread) to n=25K:

S563
S593
S714
S828

All of the remaining Sierp CK=10 and 12 bases are complete to n=25K. All are released. 2 were proven, 2 had 1k remaining (1 of them in the b<=500 thread), and 1 had 2k remaining.

Final status:

Code:

           k(s)
base  CK  remain  highest prime
S563  12  proven  4*563^3958+1
S593  10    2,8   6*593^1+1  (pitiful!)
S714  12  proven  10*714^7839+1
S828  12     8    5*828^6+1

2 more bases for a total of 9 for the 1k thread over the last 2 days!

unconnected · 2010-05-23, 15:54

Reserving S999 to n=25K.

MyDogBuster · 2010-05-26, 15:13

Riesel Base 798
Conjectured k = 339
Covering Set = 5, 13, 17
Trivial Factors k == 1 mod 797(797)

Found Primes: 328k's - File emailed

Remaining: 7k's - File emailed - Tested to n=25K
188*798^n-1
279*798^n-1
283*798^n-1
302*798^n-1
307*798^n-1
317*798^n-1
322*798^n-1

k=16, 169 proven composite by partial algebraic factors

Base Released

MyDogBuster · 2010-05-26, 22:05

Sierp Base 596
Conjectured k = 200
Covering Set = 3, 199
Trivial Factors k == 4 mod 5(5)
k == 6 mod 7(7)
k == 16 mod 17(17)

Found Primes: 122k's - File emailed

Remaining: 5k's - Tested to n=25K
8*596^n+1
71*596^n+1
121*596^n+1
136*596^n+1
151*596^n+1

Trivial Factor Eliminations: 71k's

Base Released

MyDogBuster · 2010-05-28, 15:06

Reserving the folllowing "1ker's" to n=50K.

30*514^n-1
22*900^n-1
8*908^n-1
74*947^n-1
4*968^n-1

2010-05-19, 16:51	#507
MyDogBuster May 2008 Wilmington, DE 2²·23·31 Posts	Sierp 677 Sierp Base 677 Conjectured k = 112 Covering Set = 3, 113 Trivial Factors k == 1 mod 2(2) and k == 12 mod 13(13) Found Primes: 50k's - File emailed Remaining: 3k's - Tested to n=25K 34*677^n+1 Trivial Factor Eliminations: 4k's Base Released HTML created

2010-05-20, 08:05	#508
gd_barnes May 2007 Kansas; USA 2·41·127 Posts	Reserving several bases with CK<100 to n=25K from my former k=2 search, all that have only 1 or 2 k's remaining at n=10K, as follows: R581 R845 R968 S626 S695 S752 S758 S917 Many are extremely low weight and only one has a CK>50. All should complete to n=25K in ~2-3 days running on 2 cores. Hopefully I'll prove 1 or 2 of them. This should add a few bases to the 1k thread. :-) Ian, I'll take care of showing these on the pages so that we aren't sending files back and forth. Gary Last fiddled with by gd_barnes on 2010-05-20 at 08:26

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2010-05-21, 07:33	#509
gd_barnes May 2007 Kansas; USA 28AE₁₆ Posts	Reserving the remaining five CK=10 and 12 Sierp bases (1 is b<500 shown in b=251-500 thread) to n=25K: S563 S593 S714 S828 This is the last of my testing small conjectured bases for an extended period. The small Sierp bases are beginning to catch up with the Riesel bases now. The lowest CK on either side is now 14. ETA is < 2 days on 1 core.

2010-05-22, 23:43	#510
MyDogBuster May 2008 Wilmington, DE 2²·23·31 Posts	Reserving Riesel 543 as new to n=25K

2010-05-23, 15:54	#514
unconnected May 2009 Russia, Moscow 2,593 Posts	Reserving S999 to n=25K.

2010-05-26, 15:13	#515
MyDogBuster May 2008 Wilmington, DE 2²·23·31 Posts	Riesel Base 798 Conjectured k = 339 Covering Set = 5, 13, 17 Trivial Factors k == 1 mod 797(797) Found Primes: 328k's - File emailed Remaining: 7k's - File emailed - Tested to n=25K 188798^n-1 279798^n-1 283798^n-1 302798^n-1 307798^n-1 317798^n-1 322*798^n-1 k=16, 169 proven composite by partial algebraic factors Base Released

2010-05-26, 22:05	#516
MyDogBuster May 2008 Wilmington, DE 2²·23·31 Posts	Sierp Base 596 Conjectured k = 200 Covering Set = 3, 199 Trivial Factors k == 4 mod 5(5) k == 6 mod 7(7) k == 16 mod 17(17) Found Primes: 122k's - File emailed Remaining: 5k's - Tested to n=25K 8596^n+1 71596^n+1 121596^n+1 136596^n+1 151*596^n+1 Trivial Factor Eliminations: 71k's Base Released

2010-05-28, 15:06	#517
MyDogBuster May 2008 Wilmington, DE 2²×23×31 Posts	Reserving the folllowing "1ker's" to n=50K. 30514^n-1 22900^n-1 8908^n-1 74947^n-1 4*968^n-1