mersenneforum.org New repunit (PRP) primes found, 5794777 and 8177207 decimal digits (PRP records)
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 2021-05-08, 22:54 #34 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 998610 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: Attached Thumbnails
 2021-05-09, 02:26 #35 paulunderwood     Sep 2002 Database er0rr 3·1,451 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 2021-05-09 at 02:41
 2021-05-09, 04:52 #36 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 2·4,993 Posts We have the same scrutiny as GIMPS has. Especially given its size... We are checking SPRP in 3-4 bases first (the best we can do for this PRP.) (b | N) = -1 for b = {7, 11, 23, 41, ...}.
2021-05-09, 06:32   #37
mathwiz

Mar 2019

4668 Posts

Quote:
 Originally Posted by paulunderwood 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 mathwiz on 2021-05-09 at 06:59

 2021-05-09, 06:59 #38 axn     Jun 2003 34×67 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
 2021-05-09, 14:55 #39 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 270216 Posts It is R8177207
2021-05-09, 15:30   #40
paulunderwood

Sep 2002
Database er0rr

10001000000012 Posts

Quote:
 Originally Posted by Batalov It is R8177207

2021-05-09, 16:07   #41
Dr Sardonicus

Feb 2017
Nowhere

32×677 Posts

Quote:
 Originally Posted by Batalov It is R8177207
I see that OEIS A004023 has been updated accordingly.

Congratulations on a new record PRP!

 2021-05-09, 16:31 #42 Cybertronic     Jan 2007 Germany 13·43 Posts I'm speechless ! Curios, the previous exponent have also a lot of 7s !
2021-05-09, 17:26   #43
ATH
Einyen

Dec 2003
Denmark

3,413 Posts

Quote:
 Originally Posted by Batalov We have the same scrutiny as GIMPS has. Especially given its size... We are checking SPRP in 3-4 bases first (the best we can do for this PRP.) (b | N) = -1 for b = {7, 11, 23, 41, ...}.
You can do a Lucas test with LLR ? (For some reason -q does not work for me in LLR 3.8.23)
cllr64.exe -d -oLucasPRPtest=1 input.txt

input.txt:
ABC(10^\$a-1)/9
8177207

or the BPSW version of Lucas test if you use LLR 3.8.24:
cllr.exe -d -oLucasPRPtest=1 -oBPSW=1 -q"(10^8177207-1)/9"

Last fiddled with by ATH on 2021-05-09 at 17:38

2021-05-09, 17:48   #44
mart_r

Dec 2008
you know...around...

26·13 Posts

Quote:
 Originally Posted by Batalov It is R8177207
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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