... and.....................
 

Ryan keeps suspense, but now [B]there is one more. [/B]
(apparently 5.7 million digits was not enough)

[SPOILER]and pssst, ...it has several 7s again in the exponent :-)[/SPOILER]

Updated [URL="https://primes.utm.edu/glossary/page.php?sort=Repunit"]plot for Prof.Caldwell[/URL] is attached:

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.

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, ...}.

[QUOTE=paulunderwood;578044]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.[/QUOTE]
[YOUTUBE]W4aKukcKdjQ[/YOUTUBE]

Based on the clues, I have narrowed it down to:
[SPOILER]8172707
8177207
8267747
8272787
8367707
8373377
8373767
8549777
8674727
8709377
8771207
8772347
8774897
8775947
8779217
8779937[/SPOILER]

[B][SIZE="3"]It is R[SUB]8177207[/SUB][/SIZE][/B]

[QUOTE=Batalov;578079][B][SIZE="3"]It is R[SUB]8177207[/SUB][/SIZE][/B][/QUOTE]

:party:

[QUOTE=Batalov;578079][B][SIZE="3"]It is R[SUB]8177207[/SUB][/SIZE][/B][/QUOTE]I see that OEIS A004023 has been updated accordingly.

Congratulations on a new record PRP!

:bow:

:beer2: :beer2: :beer2: :beer2:

:party:

I'm speechless !


:groupwave:


Curios, the previous exponent have also a lot of 7s !

[QUOTE=Batalov;578046]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, ...}.[/QUOTE]

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"

[QUOTE=Batalov;578079][B][SIZE=3]It is R[SUB]8177207[/SUB][/SIZE][/B][/QUOTE]
:w00t:That's amazing, truly amazing!!
[SIZE=1](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 : )[/SIZE]
[SIZE=1]
[/SIZE]
[SIZE=1][SIZE=2]... 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.[/SIZE]
[/SIZE]