mersenneforum.org  

Go Back   mersenneforum.org > Prime Search Projects > Conjectures 'R Us

Reply
 
Thread Tools
Old 2011-01-19, 23:38   #188
vmod
 
vmod's Avatar
 
Mar 2010
Hampshire, UK

5110 Posts
Default

Quote:
Originally Posted by gd_barnes View Post
...and adding a 3ker to our list!
Make that a 2ker.

3193*148^104224+1 is prime! (‎226197 digits)
vmod is offline   Reply With Quote
Old 2011-01-19, 23:47   #189
MyDogBuster
 
MyDogBuster's Avatar
 
May 2008
Wilmington, DE

284210 Posts
Default

Quote:
Make that a 2ker.

3193*148^104224+1 is prime! (‎226197 digits)
Somebody's on a roll. Congrats
MyDogBuster is offline   Reply With Quote
Old 2011-01-20, 06:05   #190
gd_barnes
 
gd_barnes's Avatar
 
May 2007
Kansas; USA

2×5,077 Posts
Default

Quote:
Originally Posted by vmod View Post
Make that a 2ker.

3193*148^104224+1 is prime! (‎226197 digits)
A great prime pair vmod!

Just curious for reporting purposes on the pages: What is your current search depth on the other 2 k's and how high to you intend to search them? It's good that you surpassed your initial reservation of n=100K. :-)

Last fiddled with by gd_barnes on 2011-01-20 at 06:06
gd_barnes is offline   Reply With Quote
Old 2011-01-24, 13:18   #191
MyDogBuster
 
MyDogBuster's Avatar
 
May 2008
Wilmington, DE

2·72·29 Posts
Default S737

S737 tested n=25K-100K

http://primes.utm.edu/primes/page.php?id=97673
38*737^93785+1 is prime

4*737^n+1 is now a 1ker with a weight = 1117

Results emailed - Base released
MyDogBuster is offline   Reply With Quote
Old 2011-01-26, 15:57   #192
Puzzle-Peter
 
Puzzle-Peter's Avatar
 
Jun 2009

3×223 Posts
Default

Quote:
Originally Posted by gd_barnes View Post
You'll likely need 2-4 CPU months to test it to n=200K and the chance of prime by that point will be ~20%.

I just want you to be aware of the effort involved.

Good luck!
Well I guess I am a lucky prime hunter this time. What should my new proof code look like, i.e. which project(s) should I include? CRUS? SierpinskiRiesel?

Thanks
Peter
Puzzle-Peter is offline   Reply With Quote
Old 2011-01-27, 03:13   #193
Mathew
 
Mathew's Avatar
 
Nov 2009

2·52·7 Posts
Default

Quote:
Originally Posted by Puzzle-Peter View Post
Well I guess I am a lucky prime hunter this time. What should my new proof code look like, i.e. which project(s) should I include? CRUS? SierpinskiRiesel?

Thanks
Peter
Puzzle-Peter;

Congrats on proving R170

and lucky you R5/R25 prime

Indeed a very good week for you.
Mathew is offline   Reply With Quote
Old 2011-01-27, 04:35   #194
gd_barnes
 
gd_barnes's Avatar
 
May 2007
Kansas; USA

1015410 Posts
Default

Quote:
Originally Posted by Puzzle-Peter View Post
Well I guess I am a lucky prime hunter this time. What should my new proof code look like, i.e. which project(s) should I include? CRUS? SierpinskiRiesel?

Thanks
Peter
A big congrats, Peter, on proving one of our remaining k=2 bases!

FYI for everyone's quick reference:
2*170^166428-1 is prime!

The smallest base with k=2 remaining is now Sierp base 218, which has 2 k's remaining at n=100K.
gd_barnes is offline   Reply With Quote
Old 2011-01-31, 04:24   #195
gd_barnes
 
gd_barnes's Avatar
 
May 2007
Kansas; USA

100111101010102 Posts
Default

Ingo Buechel, Wilfred Keller, and David Broadhurst found:

2*467^126775+1 is prime

See http://primes.utm.edu/primes/page.php?id=97818.

This eliminates k=2 from S467. Only k=4 remains. CRUS had previously searched k=2 to n=100K.
gd_barnes is offline   Reply With Quote
Old 2011-01-31, 05:37   #196
mdettweiler
A Sunny Moo
 
mdettweiler's Avatar
 
Aug 2007
USA (GMT-5)

3×2,083 Posts
Default

Quote:
Originally Posted by gd_barnes View Post
Ingo Buechel, Wilfred Keller, and David Broadhurst found:

2*467^126775+1 is prime

See http://primes.utm.edu/primes/page.php?id=97818.

This eliminates k=2 from S467. Only k=4 remains. CRUS had previously searched k=2 to n=100K.
Hmm, that's got to be one of the most ironic incidences in all of recent prime-search history: someone finds a megabit non-power-of-2 prime (back when non-power-of-2's were much slower to test, no less!) and doesn't notice it for two years!

This sounds like it would be an interesting base to try to finish off k=4 on, just because it would be kind of neat. I might take a whack at it myself. Gary, would you by chance be willing to sieve this one for n=100K-150K for me, or is your i7 fully booked with other work?
mdettweiler is offline   Reply With Quote
Old 2011-01-31, 15:41   #197
Mattyp101
 
Jan 2011

101002 Posts
Default S1029

34*1029^106501+1 is prime.

Conjecture proven.
Mattyp101 is offline   Reply With Quote
Old 2011-01-31, 15:53   #198
gd_barnes
 
gd_barnes's Avatar
 
May 2007
Kansas; USA

236528 Posts
Default

Quote:
Originally Posted by mdettweiler View Post
Hmm, that's got to be one of the most ironic incidences in all of recent prime-search history: someone finds a megabit non-power-of-2 prime (back when non-power-of-2's were much slower to test, no less!) and doesn't notice it for two years!

This sounds like it would be an interesting base to try to finish off k=4 on, just because it would be kind of neat. I might take a whack at it myself. Gary, would you by chance be willing to sieve this one for n=100K-150K for me, or is your i7 fully booked with other work?
My I7 is booked for about 2 more weeks with Riesel-Sierp base 2 even k followed by Riesel-Sierp base 16.
gd_barnes is offline   Reply With Quote
Reply

Thread Tools


Similar Threads
Thread Thread Starter Forum Replies Last Post
Report top-5000 primes for k=1003-3000 gd_barnes No Prime Left Behind 688 2020-04-24 07:31
Report top-5000 primes for all k<=1001 gd_barnes No Prime Left Behind 1487 2020-01-06 21:32
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

All times are UTC. The time now is 06:20.

Sat Jul 11 06:20:21 UTC 2020 up 108 days, 3:53, 0 users, load averages: 0.82, 1.23, 1.29

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2020, Jelsoft Enterprises Ltd.

This forum has received and complied with 0 (zero) government requests for information.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation.
A copy of the license is included in the FAQ.