20210508, 22:54  #34 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2^{5}×3×101 Posts 
... and.....................
Ryan keeps suspense, but now there is one more.
(apparently 5.7 million digits was not enough) and pssst, ...it has several 7s again in the exponent :) Updated plot for Prof.Caldwell is attached: 
20210509, 02:26  #35 
Sep 2002
Database er0rr
3^{2}·443 Posts 
But, Serge, you have not told what it is! Why the suspense?
OMG, over 8 million digits! Bigger than M42, and if it was proven 11th largest prime. Last fiddled with by paulunderwood on 20210509 at 02:41 
20210509, 04:52  #36 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2^{5}×3×101 Posts 
We have the same scrutiny as GIMPS has. Especially given its size...
We are checking SPRP in 34 bases first (the best we can do for this PRP.) (b  N) = 1 for b = {7, 11, 23, 41, ...}. 
20210509, 06:32  #37 
Mar 2019
13·17 Posts 
Last fiddled with by mathwiz on 20210509 at 06:59 
20210509, 06:59  #38 
Jun 2003
5^{2}·211 Posts 
Based on the clues, I have narrowed it down to:
8172707 8177207 8267747 8272787 8367707 8373377 8373767 8549777 8674727 8709377 8771207 8772347 8774897 8775947 8779217 8779937 
20210509, 14:55  #39 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2^{5}·3·101 Posts 
It is R_{8177207}

20210509, 15:30  #40 
Sep 2002
Database er0rr
3^{2}·443 Posts 

20210509, 16:07  #41 
Feb 2017
Nowhere
2·2,687 Posts 

20210509, 16:31  #42 
Jan 2007
Germany
19×23 Posts 
I'm speechless !
Curios, the previous exponent have also a lot of 7s ! 
20210509, 17:26  #43  
Einyen
Dec 2003
Denmark
3257_{10} Posts 
Quote:
cllr64.exe d oLucasPRPtest=1 input.txt input.txt: ABC(10^$a1)/9 8177207 or the BPSW version of Lucas test if you use LLR 3.8.24: cllr.exe d oLucasPRPtest=1 oBPSW=1 q"(10^81772071)/9" Last fiddled with by ATH on 20210509 at 17:38 

20210509, 17:48  #44 
Dec 2008
you know...around...
7×101 Posts 
That's amazing, truly amazing!!
(Would like to insert a picture of an anime character by the name of Enzo Garcia here, but I doubt anybody here knows him and shares my specific amazement : ) ... and even more so the fact that we'll hopefully soon know if R49081 really is a prime! Been waiting for this for almost two decades now. 
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