20180203, 04:27  #1  
"Rashid Naimi"
Oct 2015
Remote to Here/There
2·7·149 Posts 
* Provisional Ranking
Quote:
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. 

20180203, 06:48  #2  
Sep 2002
Database er0rr
2^{3}·3^{2}·53 Posts 
Quote:


20180203, 06:54  #3 
Jun 2003
1010000000101_{2} Posts 
I understood the OP's comment as "Have we used the errorchecking capability of the new PRP test to rule out missed primes". I don't think he implied that PRP is faster.

20180203, 08:28  #4 
"Jacob"
Sep 2006
Brussels, Belgium
1731_{10} 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 doublecheck) should only be done on exponents that have not yet been tested with LL. Jacob 
20180203, 09:01  #5 
Undefined
"The unspeakable one"
Jun 2006
My evil lair
1100001110110_{2} Posts 

20180203, 17:09  #6 
Sep 2003
5·11·47 Posts 
Have all the known Mersenne primes been retested with PRP?
Obviously it should work, but it might be a useful sanity check. 
20180204, 02:46  #7 
"Rashid Naimi"
Oct 2015
Remote to Here/There
100000100110_{2} 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. 
20180204, 02:50  #8  
Undefined
"The unspeakable one"
Jun 2006
My evil lair
2·31·101 Posts 
By a small amount. The difference is not a big deal.
Quote:
See here: https://www.mersenne.org/report_milestones/ Last fiddled with by retina on 20180204 at 03:24 

20180204, 03:14  #9 
"Rashid Naimi"
Oct 2015
Remote to Here/There
2·7·149 Posts 
Cool link Retina.
Thanks. 
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