Bases 2 & 4 reservations/statuses/primes - Page 31

Puzzle-Peter · 2014-03-07, 19:27

I compared the files and found mine to have less candidates. Now that I think about it I seem to remember I sieved to p=700T (only for k=9519). Unfortunately I didn't keep the records as I decided that was as high as I would ever sieve this range.

Jean Penné · 2014-04-21, 05:55

Hi,

Here is my status today :

k = 23451 is tested up to n = 3,136,472 base two, no prime, continuing...
k = 60849 is tested up to n = 3,000,966 base two, no prime, continuing...

Regards,
Jean
P.S. The two files are now sieved up to 413 T

Jean Penné · 2014-06-09, 09:42

09/06/2014, 11H30
Success at last!
I found :
60849*2^3067914+1 is prime! Time : 11623.254 sec.
Primality Testing of k*b^n+/-1 Program - PC/MacIntel Version 3.8.8 (Linux llr64)
I verified :
60849*2^3067914+1 is prime! (923539 decimal digits) Time : 9139.041 sec.
Primality Testing of k*b^n+/-1 Program - beta Version 3.8.13 (Linux llr64)

CPU Information:
AMD Phenom(tm) II X4 965 Processor
CPU speed: 3411.23 MHz
CPU features: RDTSC, CMOV, PREFETCH, MMX, SSE, SSE2
L1 cache size: 64 KB
L2 cache size: 512 KB

So, for now, this conjecture has one k remaining :

k=23451 is tested up to n = 3213008 base 2, no prime, continuing...
The corresponding files are sieved up to 446.6 T
Indeed, I shall send the positive result to Chris Caldwell.
Best Regards,
Jean

unconnected · 2014-06-09, 10:17

Congratulations! Almost 1M-digit prime!

gd_barnes · 2014-06-09, 10:59

Quote:

Originally Posted by Jean Penné

09/06/2014, 11H30
Success at last!
I found :
60849*2^3067914+1 is prime! Time : 11623.254 sec.
Primality Testing of k*b^n+/-1 Program - PC/MacIntel Version 3.8.8 (Linux llr64)
I verified :
60849*2^3067914+1 is prime! (923539 decimal digits) Time : 9139.041 sec.
Primality Testing of k*b^n+/-1 Program - beta Version 3.8.13 (Linux llr64)

CPU Information:
AMD Phenom(tm) II X4 965 Processor
CPU speed: 3411.23 MHz
CPU features: RDTSC, CMOV, PREFETCH, MMX, SSE, SSE2
L1 cache size: 64 KB
L2 cache size: 512 KB

So, for now, this conjecture has one k remaining :

k=23451 is tested up to n = 3213008 base 2, no prime, continuing...
The corresponding files are sieved up to 446.6 T
Indeed, I shall send the positive result to Chris Caldwell.
Best Regards,
Jean

Wow! That is CRUS's largest prime to date!! A huge congrats!

rogue · 2014-06-09, 11:12

Great find!

Which of the two k has a higher Proth weight?

gd_barnes · 2014-06-09, 11:17

Quote:

Originally Posted by rogue

Great find!

Which of the two k has a higher Proth weight?

The remaining k=23451 has a weight of 260. Now primed k=60849 had a weight of 315.

k=23451 has now been added in the one-k remaining thread.

Jean Penné · 2014-06-09, 11:56

Quote:

Originally Posted by gd_barnes

Wow! That is CRUS's largest prime to date!! A huge congrats!

Thanks! Note that this is also a nice success for the Sierpinski base 4 project that was launched by Citrix in January 2005 : this project has now only 3 k's remaining! It means we are right to persever...

Jean

rogue · 2014-06-09, 17:35

Followup question for Jean. How many cores do you have PRP testing this conjecture?

Jean Penné · 2014-06-09, 18:44

Quote:

Originally Posted by rogue

Followup question for Jean. How many cores do you have PRP testing this conjecture?

Three cores, until this morning : one for the sieving with sr2sieve-x86_64-linux,
one for the primality testing of 23451*4^n+1 and one for the testing of 60849*4^n+1. Two cores only, now!

Jean

Citrix · 2014-06-10, 03:10

Quote:

Originally Posted by Jean Penné

09/06/2014, 11H30
Success at last!
I found :
60849*2^3067914+1 is prime! Time : 11623.254 sec.
Primality Testing of k*b^n+/-1 Program - PC/MacIntel Version 3.8.8 (Linux llr64)
I verified :
60849*2^3067914+1 is prime! (923539 decimal digits) Time : 9139.041 sec.
Primality Testing of k*b^n+/-1 Program - beta Version 3.8.13 (Linux llr64)

CPU Information:
AMD Phenom(tm) II X4 965 Processor
CPU speed: 3411.23 MHz
CPU features: RDTSC, CMOV, PREFETCH, MMX, SSE, SSE2
L1 cache size: 64 KB
L2 cache size: 512 KB

So, for now, this conjecture has one k remaining :

k=23451 is tested up to n = 3213008 base 2, no prime, continuing...
The corresponding files are sieved up to 446.6 T
Indeed, I shall send the positive result to Chris Caldwell.
Best Regards,
Jean

Congratulations Jean!

2014-04-21, 05:55	#332
Jean Penné May 2004 FRANCE 244₁₆ Posts	Sierpinski even n's Hi, Here is my status today : k = 23451 is tested up to n = 3,136,472 base two, no prime, continuing... k = 60849 is tested up to n = 3,000,966 base two, no prime, continuing... Regards, Jean P.S. The two files are now sieved up to 413 T

2014-06-09, 09:42	#333
Jean Penné May 2004 FRANCE 2²×5×29 Posts	Sierpinski even n's 09/06/2014, 11H30 Success at last! I found : 608492^3067914+1 is prime! Time : 11623.254 sec. Primality Testing of kb^n+/-1 Program - PC/MacIntel Version 3.8.8 (Linux llr64) I verified : 608492^3067914+1 is prime! (923539 decimal digits) Time : 9139.041 sec. Primality Testing of kb^n+/-1 Program - beta Version 3.8.13 (Linux llr64) CPU Information: AMD Phenom(tm) II X4 965 Processor CPU speed: 3411.23 MHz CPU features: RDTSC, CMOV, PREFETCH, MMX, SSE, SSE2 L1 cache size: 64 KB L2 cache size: 512 KB So, for now, this conjecture has one k remaining : k=23451 is tested up to n = 3213008 base 2, no prime, continuing... The corresponding files are sieved up to 446.6 T Indeed, I shall send the positive result to Chris Caldwell. Best Regards, Jean

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2014-03-07, 19:27	#331
Puzzle-Peter Jun 2009 2²×3²×19 Posts	I compared the files and found mine to have less candidates. Now that I think about it I seem to remember I sieved to p=700T (only for k=9519). Unfortunately I didn't keep the records as I decided that was as high as I would ever sieve this range.

2014-06-09, 10:17	#334
unconnected May 2009 Russia, Moscow 2,593 Posts	Congratulations! Almost 1M-digit prime!

2014-06-09, 11:12	#336
rogue "Mark" Apr 2003 Between here and the 2⁴×397 Posts	Great find! Which of the two k has a higher Proth weight?

2014-06-09, 17:35	#339
rogue "Mark" Apr 2003 Between here and the 2⁴·397 Posts	Followup question for Jean. How many cores do you have PRP testing this conjecture?