577294575*2^n+1

roger · 2008-09-11, 15:19

Has this k been reserved by someone for the plus side? I found a couple proth primes on google relating to it, but no reservation status.

I've been working on it for a while, and am coming up to n=250k now.

I really hope this work hasn't already been done.

VBCurtis · 2008-09-11, 23:44

The only place I know of coordinating proth prime searching is www.prothsearch.net. Mark only coordinates up to k=1200 as far as I can tell. If you find another location with organization info, please post it here.
-Curtis

Kosmaj · 2008-09-12, 00:04

g42 has been testing this K since 1999 and found many primes:

Code:

rank           description              digits  who year comment
-----  -------------------------------- ------- ---- ---- --------------
 1744  577294575*2^481273+1              144887  g42 2008 
 3706  577294575*2^372840+1              112245  g42 2006 
 9756  577294575*2^300263+1               90397  g42 2001 
10390  577294575*2^279263+1               84076  g42 2001 
11886  577294575*2^238106+1               71686  g42 2001 
11922  577294575*2^237384+1               71469  g42 2001 
11987  577294575*2^236432+1               71182  g42 2001 
12661  577294575*2^223519+1               67295  g42 2001 
13591  577294575*2^207060+1               62341  g42 2000

and another 10. Search the Top-5000 site for more.

roger · 2008-09-12, 01:28

Yeah, I just found the top-5000 listing for g42, though it only showed the top two primes you listed.

I really thought no one had been doing this, no one seemed to be doing larger k-values except Robert44444uk here.

This has been my major proth prime search for quite a while, and I found 139 primes, along with the last 5 that Kosmaj listed.

I assume g42 has all the lower primes as well? And there's no gaps?

VBCurtis · 2008-09-12, 04:25

We have no reason to know, but if you found the exact primes he did, you should assume he is searching in order. We'd know more about him/her than "g42" if we had any contact, so we're just guessing.
-Curtis

Happy5214 · 2009-01-16, 22:34

Actually, he has his e-mail posted on his bio page. It's jack at brennen dot net. You might want to try contacting him there.

-Happy

2008-09-11, 15:19	#1
roger Oct 2006 100000100₂ Posts	*5772945752^n+1** Has this k been reserved by someone for the plus side? I found a couple proth primes on google relating to it, but no reservation status. I've been working on it for a while, and am coming up to n=250k now. I really hope this work hasn't already been done.

2009-01-16, 22:34	#6
Happy5214 "Alexander" Nov 2008 The Alamo City 1702₈ Posts	g42 Actually, he has his e-mail posted on his bio page. It's jack at brennen dot net. You might want to try contacting him there. -Happy

2008-09-11, 23:44	#2
VBCurtis "Curtis" Feb 2005 Riverside, CA 2²·3³·53 Posts	The only place I know of coordinating proth prime searching is www.prothsearch.net. Mark only coordinates up to k=1200 as far as I can tell. If you find another location with organization info, please post it here. -Curtis

2008-09-12, 01:28	#4
roger Oct 2006 104₁₆ Posts	Yeah, I just found the top-5000 listing for g42, though it only showed the top two primes you listed. I really thought no one had been doing this, no one seemed to be doing larger k-values except Robert44444uk here. This has been my major proth prime search for quite a while, and I found 139 primes, along with the last 5 that Kosmaj listed. I assume g42 has all the lower primes as well? And there's no gaps?

2008-09-12, 04:25	#5
VBCurtis "Curtis" Feb 2005 Riverside, CA 1011001011100₂ Posts	We have no reason to know, but if you found the exact primes he did, you should assume he is searching in order. We'd know more about him/her than "g42" if we had any contact, so we're just guessing. -Curtis