20181209, 19:39  #12  
"Forget I exist"
Jul 2009
Dumbassville
2^{6}·131 Posts 
Quote:


20181209, 19:45  #13 
"Rashid Naimi"
Oct 2015
Remote to Here/There
2^{3}·3·79 Posts 
Perhaps we are dancing around a cluster which happens to contain (by chance) primes rather than MersenneNumbers with relatively large factors. If so we should expect things to even out further down the road.
Last fiddled with by a1call on 20181209 at 19:46 
20181209, 20:09  #14 
P90 years forever!
Aug 2002
Yeehaw, FL
7,151 Posts 

20181209, 20:23  #15 
P90 years forever!
Aug 2002
Yeehaw, FL
1BEF_{16} Posts 

20181209, 20:57  #16 
Einyen
Dec 2003
Denmark
7·419 Posts 
...and the exponent is 5 (mod 8).

20181209, 20:57  #17 
∂^{2}ω=0
Sep 2002
República de California
10110011111110_{2} Posts 
Congratsinadvance to George and GIMPS!
This would of course have to happen just after George embarks on a 10day preholiday ocean cruise ... George leaving town remains our best predictor of a new Mprime discovery. :) 
20181209, 20:58  #18  
Serpentine Vermin Jar
Jul 2014
2×1,637 Posts 
Quote:


20181209, 21:12  #19  
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
5^{3}×73 Posts 
Quote:
given posts number N2 and N3 

20181209, 21:47  #20 
Feb 2017
Nowhere
2^{2}·5·173 Posts 
Congratulations to the lucky discoverer (assuming it checks out), and to GIMPS! Good grief, that's less than a year since the last one!
Ooooh! That's 50 odd exponents, with 31 of them congruent to 1 (mod 4) and 19 of them congruent to 3 (mod 4). And 19 and 31 are consecutive Mersenne prime exponents! I don't know what it all means, but it must mean something... 
20181209, 22:25  #21  
Sep 2003
2^{2}·3·5·43 Posts 
Quote:
For example, Wikipedia article mentions that there are only 190 Sophie Germain primes less than 10^{4} and 56,032 Sophie Germain primes less than 10^{7}, but there are 1,229 and 664,579 general primes respectively below those bounds. So that can't account for the discrepancy. 

20181209, 22:46  #22 
Bemusing Prompter
"Danny"
Dec 2002
California
8FE_{16} Posts 
Silly question: now that new Mersenne primes are no longer marked as a "success" until they are verified, does this mean that there is no way to spot them early unless George tells us?

Thread Tools  
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Lucky number gaps  robert44444uk  Prime Gap Searches  23  20190823 20:45 
Fun with the Lucky Numbers of Euler  ewmayer  Probability & Probabilistic Number Theory  0  20151018 01:37 
Extremely lucky assignments  apocalypse  GPU to 72  6  20150407 04:41 
Lucky ECM hit  Dubslow  Factoring  3  20141019 19:10 
Lucky gmpecm curve...  WraithX  GMPECM  4  20090112 16:29 