Bases 251-500 reservations/statuses/primes - Page 40

henryzz · 2010-06-04, 18:15

S290, CK=98, Four ks remaining.
Primes attached.
Base tested to 25k and released.

rogue · 2010-06-05, 13:43

Conjectured k = 14. Reserving.

MyDogBuster · 2010-06-06, 01:10

Completed the following to n=25K

R320 ck=106 primes=89 remain=3
R326 ck=110 primes=76 remain=2

rogue · 2010-06-06, 12:57

Primes found:

Code:

2*350^1+1
3*350^1+1
4*350^2+1
5*350^20391+1
6*350^2+1
7*350^84+1
8*350^1+1
9*350^3+1
10*350^1294+1
11*350^1+1
12*350^1+1
13*350^6+1

k=1 is a GFN. With a conjectured k of 14, this conjecture is proven (unless a GFN prime is required).

MyDogBuster · 2010-06-06, 14:07

Quote:

k=1 is a GFN. With a conjectured k of 14, this conjecture is proven (unless a GFN prime is required).

We never require k=1 to be tested on any base. BTW 1*350^2+1 is prime.

rogue · 2010-06-06, 20:05

Reserving.

gd_barnes · 2010-06-08, 01:34

Here are the final 2 of 9 bases from my recent k=2 effort as shown in the bases 501-1024 thread. The following bases have been searched to n=25K and are released:

R380; CK=128; k=38, 50, 63, & 79 remain; highest prime 125*380^6358-1
S416; CK=140; k=73 & 118 remain; highest prime 31*416^23572+1

Collective primes for n=5K-25K:
125*380^6358-1
13*416^18232+1
31*416^23572+1

As points of interest:

The only base <= 500 that still has k=2 remaining at n=10K but is not shown on the pages is R303. But with a conjecture of 85368, that will be a toughie to search the entire base.

Here is a complete list of bases <= 500 that have k=2 remaining (and their search depths):
R170 (100K)
R303 (10K by me; not shown on pages)
S101 (100K)
S218 (100K)
S236 (25K)
S365 (25K)
S383 (25K)
S461 (75.7K)
S467 (25K)

The Sierp side has a lot of difficulty with k=2, 4, & 8 relative to the Riesel side.

Gary

rogue · 2010-06-08, 12:24

Reserving

rogue · 2010-06-08, 13:01

Base 458:

Code:

2*458^105+1
3*458^107+1
4*458^66+1
5*458^7+1
6*458^1+1
7*458^6+1
8*458^11+1
9*458^2+1
10*458^5952+1
11*458^1+1
12*458^13+1
14*458^79+1
15*458^1+1

k=13 remains at n=25000. Releasing.

Base 497

Code:

2*497^1339+1
4*497^1898+1
6*497^169+1
10*497^4+1
12*497^4+1
14*497^1+1

k=8 remains at n=25000. Releasing.

Mathew · 2010-06-09, 03:21

R341 is proven
CK=20

Largest prime

8*341^4966-1

Attached are the results

vmod · 2010-06-10, 08:39

Reserving R272 (1 k) and R275 (2 k's) to n=100K.

2010-06-05, 13:43	#431
rogue "Mark" Apr 2003 Between here and the 2⁴×397 Posts	Sierpinksi Base 350 Conjectured k = 14. Reserving.

2010-06-06, 12:57	#433
rogue "Mark" Apr 2003 Between here and the 2⁴·397 Posts	Sierpinksi Base 350 Primes found: Code: 2350^1+1 3350^1+1 4350^2+1 5350^20391+1 6350^2+1 7350^84+1 8350^1+1 9350^3+1 10350^1294+1 11350^1+1 12350^1+1 13350^6+1 k=1 is a GFN. With a conjectured k of 14, this conjecture is proven (unless a GFN prime is required). Last fiddled with by rogue on 2010-06-06 at 12:58

2010-06-06, 20:05	#435
rogue "Mark" Apr 2003 Between here and the 2⁴×397 Posts	Sierpinski bases 458 and 497 Reserving.

2010-06-08, 12:24	#437
rogue "Mark" Apr 2003 Between here and the 2⁴·397 Posts	Sierpinski Bases 483, 332, 480, and 429 Reserving

2010-06-08, 13:01	#438
rogue "Mark" Apr 2003 Between here and the 2⁴×397 Posts	Sierpinski results Base 458: Code: 2458^105+1 3458^107+1 4458^66+1 5458^7+1 6458^1+1 7458^6+1 8458^11+1 9458^2+1 10458^5952+1 11458^1+1 12458^13+1 14458^79+1 15458^1+1 k=13 remains at n=25000. Releasing. Base 497 Code: 2497^1339+1 4497^1898+1 6497^169+1 10497^4+1 12497^4+1 14*497^1+1 k=8 remains at n=25000. Releasing.

2010-06-06, 01:10	#432
MyDogBuster May 2008 Wilmington, DE 2²·23·31 Posts	Completed the following to n=25K R320 ck=106 primes=89 remain=3 R326 ck=110 primes=76 remain=2

2010-06-08, 01:34	#436
gd_barnes May 2007 Kansas; USA 101×103 Posts	Here are the final 2 of 9 bases from my recent k=2 effort as shown in the bases 501-1024 thread. The following bases have been searched to n=25K and are released: R380; CK=128; k=38, 50, 63, & 79 remain; highest prime 125380^6358-1 S416; CK=140; k=73 & 118 remain; highest prime 31416^23572+1 Collective primes for n=5K-25K: 125380^6358-1 13416^18232+1 31*416^23572+1 As points of interest: The only base <= 500 that still has k=2 remaining at n=10K but is not shown on the pages is R303. But with a conjecture of 85368, that will be a toughie to search the entire base. Here is a complete list of bases <= 500 that have k=2 remaining (and their search depths): R170 (100K) R303 (10K by me; not shown on pages) S101 (100K) S218 (100K) S236 (25K) S365 (25K) S383 (25K) S461 (75.7K) S467 (25K) The Sierp side has a lot of difficulty with k=2, 4, & 8 relative to the Riesel side. Gary

2010-06-10, 08:39	#440
vmod Mar 2010 Hampshire, UK 3×17 Posts	Reserving R272 (1 k) and R275 (2 k's) to n=100K.

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