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2018-02-03, 04:27   #1
a1call

"Rashid Naimi"
Oct 2015
Remote to Here/There

224210 Posts
* 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?

2018-02-03, 06:48   #2
paulunderwood

Sep 2002
Database er0rr

102E16 Posts

Quote:
 Originally Posted by a1call 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.

2018-02-03, 06:54   #3
axn

Jun 2003

10100111101012 Posts

Quote:
 Originally Posted by paulunderwood 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.

 2018-02-03, 08:28 #4 S485122     "Jacob" Sep 2006 Brussels, Belgium 2×907 Posts 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
2018-02-03, 09:01   #5
retina
Undefined

"The unspeakable one"
Jun 2006
My evil lair

193816 Posts

Quote:
 Originally Posted by a1call 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.

 2018-02-03, 17:09 #6 GP2     Sep 2003 258510 Posts Have all the known Mersenne primes been retested with PRP? Obviously it should work, but it might be a useful sanity check.
 2018-02-04, 02:46 #7 a1call     "Rashid Naimi" Oct 2015 Remote to Here/There 43028 Posts 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.
2018-02-04, 02:50   #8
retina
Undefined

"The unspeakable one"
Jun 2006
My evil lair

23×3×269 Posts

Quote:
 Originally Posted by a1call 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 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

 2018-02-04, 03:14 #9 a1call     "Rashid Naimi" Oct 2015 Remote to Here/There 2·19·59 Posts Cool link Retina. Thanks.

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