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Old 2021-05-08, 22:54   #34
Batalov
 
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Phi(4,2^7658614+1)/2

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Thumbs up ... 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:
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Old 2021-05-09, 02:26   #35
paulunderwood
 
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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
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Old 2021-05-09, 04:52   #36
Batalov
 
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Phi(4,2^7658614+1)/2

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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, ...}.
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Old 2021-05-09, 06:32   #37
mathwiz
 
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Quote:
Originally Posted by paulunderwood View Post
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
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Old 2021-05-09, 06:59   #38
axn
 
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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
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Old 2021-05-09, 14:55   #39
Batalov
 
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Phi(4,2^7658614+1)/2

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It is R8177207
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Old 2021-05-09, 15:30   #40
paulunderwood
 
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Quote:
Originally Posted by Batalov View Post
It is R8177207
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Old 2021-05-09, 16:07   #41
Dr Sardonicus
 
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Quote:
Originally Posted by Batalov View Post
It is R8177207
I see that OEIS A004023 has been updated accordingly.

Congratulations on a new record PRP!





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Old 2021-05-09, 16:31   #42
Cybertronic
 
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I'm speechless !





Curios, the previous exponent have also a lot of 7s !
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Old 2021-05-09, 17:26   #43
ATH
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Quote:
Originally Posted by Batalov View Post
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
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Old 2021-05-09, 17:48   #44
mart_r
 
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you know...around...

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Quote:
Originally Posted by Batalov View Post
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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