Report top-5000 primes here - Page 7

gd_barnes · 2009-02-06, 01:53

Quote:

Originally Posted by mdettweiler

Another one for Sierp. base 33:

1818*33^79815+1 is prime!

Only one k remaining for Sierp. base 33 (at n=100K and unreserved as previously reported in the bases > 32 status thread)--and this prime makes the top-5000 to boot!

Nice one!

This is amazing! We have yet ANOTHER Sierpinski base with 1 k remaining at n=100K. These final k's on the Sierp side are truly stubborn.

Gary

kar_bon · 2009-02-09, 12:28

here is my first base-35 prime.
after 2 'small' generalized woodalls the only one in the TOP5000 currently in the big list!

75570*35^74111-1 is prime!

i checked this k alone, because it was the one with the most candidates left to n=100k!

gd_barnes · 2009-03-16, 20:00

My first non-power-of-2 top-5000 prime:

2377*28^104621+1 is prime

4 k's to go on Sierp base 28

Riesel and Sierp base 28 are both now at n=105K.

Gary

Siemelink · 2009-04-18, 14:55

Primality testing 28034*19^92302-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 5, base 5+sqrt(5)
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
28034*19^92302-1 is prime! (10748.9939s+0.0356s)

I grabbed a bunch of k's, sieved them for a while and then continued only with the one that had the most candidates. I've done 57% of the range when I had found the prime.

Happy me, Willem.

gd_barnes · 2009-04-18, 20:55

Excellent prime Willem!

rogue · 2009-04-19, 00:30

Quote:

Originally Posted by Siemelink

Primality testing 28034*19^92302-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 5, base 5+sqrt(5)
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
28034*19^92302-1 is prime! (10748.9939s+0.0356s)

I grabbed a bunch of k's, sieved them for a while and then continued only with the one that had the most candidates. I've done 57% of the range when I had found the prime.

Happy me, Willem.

I'm curious to know if LLR is faster than phrot for this base. Did you compare both programs?

Siemelink · 2009-04-19, 22:01

Quote:

Originally Posted by rogue

I'm curious to know if LLR is faster than phrot for this base. Did you compare both programs?

Nope, the last time I thought of Phrot was when you were busy tweaking it.

Cheers, Willem.

rogue · 2009-04-20, 00:26

Quote:

Originally Posted by Siemelink

Nope, the last time I thought of Phrot was when you were busy tweaking it.

Cheers, Willem.

It's pretty solid now. I am only aware of an issue with GFNs (b^(2^m)+1), but since genefer is primarily used for GFNs, I'm not too concerned about fixing it.

If you do decide to putter around with it, I'd be curious to see some comparison timings.

gd_barnes · 2009-05-27, 18:04

Here's a nice one:

3104*22^161188-1 is prime

I FINALLY got another one on my large base 22/27/28 testing.

Only 1 k to go on Riesel base 22; continuing it up to n=200K. What else is new? ...many bases with 1 k remaining, especially on the Sierp side.

Gary

Siemelink · 2009-08-25, 20:07

Primality testing 8681*30^140627-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling Brillhart-Lehmer-Selfridge with factored part 47.32%
8681*30^140627-1 is prime! (15798.4912s+0.0541s)

Tralala, Willem.

kar_bon · 2009-08-25, 20:19

Quote:

Originally Posted by Siemelink

8681*30^140627-1 is prime!

There're only three base-30 primes in the Top5000 list, 9 years old and all Gen.Woodall's.
This is 10 times greater than those. Nice find!

2009-02-09, 12:28	#68
kar_bon Mar 2006 Germany 3²×17×19 Posts	Riesel Base 35 here is my first base-35 prime. after 2 'small' generalized woodalls the only one in the TOP5000 currently in the big list! 75570*35^74111-1 is prime! i checked this k alone, because it was the one with the most candidates left to n=100k!

2009-04-18, 14:55	#70
Siemelink Jan 2006 Hungary 2²×67 Posts	Riesel base 19 Primality testing 2803419^92302-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 5, base 5+sqrt(5) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 2803419^92302-1 is prime! (10748.9939s+0.0356s) I grabbed a bunch of k's, sieved them for a while and then continued only with the one that had the most candidates. I've done 57% of the range when I had found the prime. Happy me, Willem.

Similar Threads
Thread	Thread Starter	Forum	Replies	Last Post
Report top-5000 primes for all k<=1001	gd_barnes	No Prime Left Behind	1502	2021-06-22 05:30
Report top-5000 primes for k=1003-3000	gd_barnes	No Prime Left Behind	688	2020-04-24 07:31
All top 5000 primes will have the same number of digits in 2014 ;-)	Batalov	Conjectures 'R Us	10	2013-03-29 01:29
Twenty Oldest Primes on Top 5000 List	masser	Lounge	9	2008-08-27 12:31
get all the 5000 biggest primes above 100K digits	jasong	jasong	1	2007-06-09 22:51

2009-03-16, 20:00	#69
gd_barnes May 2007 Kansas; USA 10403₁₀ Posts	My first non-power-of-2 top-5000 prime: 2377*28^104621+1 is prime 4 k's to go on Sierp base 28 Riesel and Sierp base 28 are both now at n=105K. Gary

2009-04-18, 20:55	#71
gd_barnes May 2007 Kansas; USA 101·103 Posts	Excellent prime Willem!

2009-05-27, 18:04	#75
gd_barnes May 2007 Kansas; USA 101×103 Posts	Here's a nice one: 3104*22^161188-1 is prime I FINALLY got another one on my large base 22/27/28 testing. Only 1 k to go on Riesel base 22; continuing it up to n=200K. What else is new? ...many bases with 1 k remaining, especially on the Sierp side. Gary

2009-08-25, 20:07	#76
Siemelink Jan 2006 Hungary 10C₁₆ Posts	Primality testing 868130^140627-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 11, base 1+sqrt(11) Calling Brillhart-Lehmer-Selfridge with factored part 47.32% 868130^140627-1 is prime! (15798.4912s+0.0541s) Tralala, Willem.