PFGW after LLR?

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Which means you found a prime. :)

Congrats!

Details to follow...
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It would go onto the Top 50 and have its official announcement, I guess. Sounds like it is a "plus" form, 27*2^n + 1, since search for GF and xGF divisors is not relevant for the "minus" form. /JeppeSN

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Sysadm@Nbg

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crossing fingers!
as of now: last hit at the 27-port was 1317 days ago by zunewantan
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my current lucky number: 113856050^65536 + 1
PSA-PRPNet-Stats-URL: http://u-g-f.de/PRPNet/

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crossing fingers!
as of now: last hit at the 27-port was 1317 days ago by zunewantan

Last PRPNet prime, a GFN-15, was on October 10, 2015 by Karsten.
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Nortech

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Yes. Since this is base 2, it will use pfgw to search for GFN divisors and report them.

Thanks, I initially thought something had gone wrong :D

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robish

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Yes. Since this is base 2, it will use pfgw to search for GFN divisors and report them.

Thanks, I initially thought something had gone wrong :D

Congratulations Nortech! And what makes it even better is " 271 will be a 271-21" :) seriously.......... Meant to be. ;)
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robish

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Yes. Since this is base 2, it will use pfgw to search for GFN divisors and report them.

Thanks, I initially thought something had gone wrong :D

To quote you "Have the dubious honour of having discovered PrimeGrid's smallest Mega Prime (42654182^131072+1)"....... .......... Not anymore!!!! ;)
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robish

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AND to top it off. 27*2^7xxxxxx+1........ sweet! :)
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Congratulations Nortech! Fingers crossed!

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Yes. Since this is base 2, it will use pfgw to search for GFN divisors and report them.

Thanks, I initially thought something had gone wrong :D

Very nice prime!
Congratulations!
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92*10^^1585996-1 NEAR-REPDIGIT PRIME :) :) :)
4 * 650^⁴⁹⁸¹⁰¹-1 CRUS PRIME
2022202116^¹³¹⁰⁷²+1 GENERALIZED FERMAT
Proud member of team Aggie The Pew. Go Aggie!

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Mark,

We're running PFGW offline, and although it's not yet complete, it's found at least 1 XGFN factor.

There's no factor anywhere in the PRPNet database, even though Nortech's computer ran PFGW and must have completed it because the prime was reported back to the server.

Any ideas? Is PRPNet only running the Fermat factor test, or is it also running the GFN and XGFN tests?

27*2^7046834+1 is a Factor of xGF(7046830,10,3)!!!! (21370.267000 seconds)

EDIT: Test is done and there's a second divisor:
27*2^7046834+1 is a Factor of xGF(7046832,11,5)!!!! (21361.014000 seconds)
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Nortech

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Mark,

We're running PFGW offline, and although it's not yet complete, it's found at least 1 XGFN factor.

There's no factor anywhere in the PRPNet database, even though Nortech's computer ran PFGW and must have completed it because the prime was reported back to the server.

Any ideas? Is PRPNet only running the Fermat factor test, or is it also running the GFN and XGFN tests?

27*2^7046834+1 is a Factor of xGF(7046830,10,3)!!!! (21370.267000 seconds)

EDIT: Test is done and there's a second divisor:
27*2^7046834+1 is a Factor of xGF(7046832,11,5)!!!! (21361.014000 seconds)

Hi Michael,

That may be my fault! I thought something had gone wrong on that computer, the CPU usage was way down. On investigation, I saw it had spent over 5 hours running PFGW (single thread) instead of LLR (multi-thread) as I was expecting.
Not realizing the significance of this at the time, I did restart the prpclient which I suspect may have terminated the PFGW test prior to it finding and/or reporting the factors…?

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There's no factor anywhere in the PRPNet database, even though Nortech's computer ran PFGW and must have completed it because the prime was reported back to the server.

Any ideas? Is PRPNet only running the Fermat factor test, or is it also running the GFN and XGFN tests?

In fact I think it was incorrect that PRPNet ran a GFN factor search. I think it will run a deterministic primality test of the number (which is only PRP after LLR has run), using PFGW.

When I used PRPNet, I commented out the line with PFGW when I ran LLR projects. I had heard you could avoid the PFGW time locally at your machine, with that commented out. In that case, the find would be listed as PRP on the PRPNet "User primes" page, instead of as Prime.

/JeppeSN

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LLR can detect primality of these numbers. pfgw should only be doing the GFN testing as it is run with the -gxo switch.

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Maybe I am confusing this with the Generalized Fermat (genefer) ports that existed at PRPNet at that time, then. /JeppeSN

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Maybe I am confusing this with the Generalized Fermat (genefer) ports that existed at PRPNet at that time, then. /JeppeSN

You are. We check for Fermat divisors of Proth primes, which is the subject of this discussion. Half of the numbers on this port are Proth numbers.
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So, was a prime found, or not?

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So, was a prime found, or not?

Read this thread. See the post where I say "Congratulations"? :)

Also, when you're talking about Fermat divisors, by definition you have a Proth prime.
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So, was a prime found, or not?

You can see the prime (and the two enormous xGF it divides) if you click on Nortech's name and then click "Primes" (under "Discoveries"). /JeppeSN

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Thanks for the confirmation :)

I should never have stopped my boxes from auto crunching those... might have made the discovery myself :)

Now, what are the odds, another prime, is close by?

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Thanks for the confirmation :)

I should never have stopped my boxes from auto crunching those... might have made the discovery myself :)

Now, what are the odds, another prime, is close by?

They seem to come in threes. :)
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