mersenneforum.org  

Go Back   mersenneforum.org > Extra Stuff > Miscellaneous Math

Reply
 
Thread Tools
Old 2018-02-03, 04:27   #1
a1call
 
a1call's Avatar
 
"Rashid Naimi"
Oct 2015
Remote to Here/There

2×1,087 Posts
Default * Provisional Ranking

Quote:
* Provisional ranking, not all candidates between M37,156,667 and M77,232,917 have been eliminated
https://www.mersenne.org/primes/

What are the probabilities of missed Mersenne Primes in ranges in between M45 to M50?

Has any of the gaps been scanned by PRP testing exhaustively?

Thank you in advance.
a1call is offline   Reply With Quote
Old 2018-02-03, 06:48   #2
paulunderwood
 
paulunderwood's Avatar
 
Sep 2002
Database er0rr

2·7·281 Posts
Default

Quote:
Originally Posted by a1call View Post
https://www.mersenne.org/primes/

What are the probabilities of missed Mersenne Primes in ranges in between M45 to M50?

Has any of the gaps been scanned by PRP testing exhaustively?

Thank you in advance.
There is no gain in speed of testing by doing PRP testing. In fact LL is quicker than PRP, although the new PRP test is by far less error prone.
paulunderwood is offline   Reply With Quote
Old 2018-02-03, 06:54   #3
axn
 
axn's Avatar
 
Jun 2003

3·11·157 Posts
Default

Quote:
Originally Posted by paulunderwood View Post
There is no gain in speed of testing by doing PRP testing. In fact LL is quicker than PRP, although the new PRP test is by far less error prone.
I understood the OP's comment as "Have we used the error-checking capability of the new PRP test to rule out missed primes". I don't think he implied that PRP is faster.
axn is offline   Reply With Quote
Old 2018-02-03, 08:28   #4
S485122
 
S485122's Avatar
 
"Jacob"
Sep 2006
Brussels, Belgium

175510 Posts
Default

Concerning the original question, why retest exhaustively with PRP ? Almost all exponents between M45 and M50 have been tested with LL. They need a double check, but it would be an enormous waste of computing power and energy to test them all with PRP. The double check should be done with the same test as the first check.

PRP tests (first time check and double-check) should only be done on exponents that have not yet been tested with LL.

Jacob
S485122 is offline   Reply With Quote
Old 2018-02-03, 09:01   #5
retina
Undefined
 
retina's Avatar
 
"The unspeakable one"
Jun 2006
My evil lair

2×23×137 Posts
Default

Quote:
Originally Posted by a1call View Post
What are the probabilities of missed Mersenne Primes in ranges in between M45 to M50?
Not very high. You should probably be more worried about being struck by lightning.
retina is offline   Reply With Quote
Old 2018-02-03, 17:09   #6
GP2
 
GP2's Avatar
 
Sep 2003

258510 Posts
Default

Have all the known Mersenne primes been retested with PRP?

Obviously it should work, but it might be a useful sanity check.
GP2 is offline   Reply With Quote
Old 2018-02-04, 02:46   #7
a1call
 
a1call's Avatar
 
"Rashid Naimi"
Oct 2015
Remote to Here/There

2×1,087 Posts
Default

Thank you for all the replies.

I was not aware that the LL test was faster than PRP testing.
So am I correct to assume that all candidates below M50 without know factors have been at least once LL tested?

Thanks again for your time.
a1call is offline   Reply With Quote
Old 2018-02-04, 02:50   #8
retina
Undefined
 
retina's Avatar
 
"The unspeakable one"
Jun 2006
My evil lair

2×23×137 Posts
Default

Quote:
Originally Posted by a1call View Post
I was not aware that the LL test was faster than PRP testing.
By a small amount. The difference is not a big deal.
Quote:
Originally Posted by a1call View Post
So am I correct to assume that all candidates below M50 without know factors have been at least once LL tested?
No they haven't.

See here: https://www.mersenne.org/report_milestones/

Last fiddled with by retina on 2018-02-04 at 03:24
retina is offline   Reply With Quote
Old 2018-02-04, 03:14   #9
a1call
 
a1call's Avatar
 
"Rashid Naimi"
Oct 2015
Remote to Here/There

87E16 Posts
Default

Cool link Retina.
Thanks.
a1call is offline   Reply With Quote
Reply

Thread Tools


Similar Threads
Thread Thread Starter Forum Replies Last Post
Member Ranking. jwaltos Forum Feedback 8 2015-03-13 17:01
Just for fun! A software which can download PrimeNet Ranking dabaichi Programming 5 2011-12-28 02:24
Ranking and Speed nngs Lounge 1 2008-03-31 21:23
RPS Ranking grobie Riesel Prime Search 2 2006-01-18 17:56
Triple ranking report program dsouza123 Programming 12 2003-11-23 03:10

All times are UTC. The time now is 00:54.


Thu Dec 2 00:54:18 UTC 2021 up 131 days, 19:23, 1 user, load averages: 1.20, 0.98, 0.88

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2021, 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.