Share N+/-1 Primality Proofs

[axn]

(63^312*50-1)/17 had a fortunate (a^2-b^2) split for N-1, which itself had small factors and PRP-cofactors which the db itself took care of.

[chris2be8]

Hello,

Proving (2^4780-2^1409-2)/2068586721298784272662 http://factordb.com/index.php?id=1100000001104437597 (1418 digits) prime will enable a N-1 proof that 2^4780-2^1409-1 http://factordb.com/index.php?id=1100000001104345788 (1439 digits) is prime.

I found this while checking numbers my script tried to prove by a combined proof. I managed to prove 2^4701-2^1079-1 prime by ECMing N-1 to T20 and adding enough factors to make the proof work.

Chris

[MisterBitcoin]

I´ll take the prp1418 soon. I´m now checking the prp´s <500dd.
Slow, but steady process.

[MisterBitcoin]

Originally Posted by chris2be8

Hello,

Proving (2^4780-2^1409-2)/2068586721298784272662 http://factordb.com/index.php?id=1100000001104437597 (1418 digits) prime will enable a N-1 proof that 2^4780-2^1409-1 http://factordb.com/index.php?id=1100000001104345788 (1439 digits) is prime.

I found this while checking numbers my script tried to prove by a combined proof. I managed to prove 2^4701-2^1079-1 prime by ECMing N-1 to T20 and adding enough factors to make the proof work.

Chris

Done.
2^4701-2^1079-1 proven by N-1.
Next one please.
(Still focusing for prp´s <1500 dd. Some other might get proved by N+/-1 in the next hours.)

[wblipp]

Originally Posted by MisterBitcoin

Done.
2^4701-2^1079-1 proven by N-1.
Next one please.

PRP list has many (2^a-2^b-2)/c that will prove the related 2^a-2^b-1 via N-1. I was going to make a list, but I think these are being worked on faster that I can compile.

[axn]

Proving the 613-digt cofactor of 435^325-1 will allow the N+1 proof of ((435^650-1)^2-2)/2. As it is, that latter number is very close to a combined N+1/N-1 proof (but not quite).

[MisterBitcoin]

(100^984-1)*190/99+1 got proved by N-1.



N-1 was factored deep enough to prove N is prim, I only needed to push the button.

[a1call]

Originally Posted by MisterBitcoin

(100^984-1)*190/99+1 got proved by N-1.



N-1 was factored deep enough to prove N is prim, I only needed to push the button.

I am posting this at 9:19 AM.

That's the most beautiful prime I have ever seen after 19 itself.
How did you manage to formulate its form?

[MisterBitcoin]

Originally Posted by a1call

I am posting this at 9:19 AM.

That's the most beautiful prime I have ever seen after 19 itself.
How did you manage to formulate its form?

It was allready completed by FDB. Most of the factors where added in 2011.

I just pressed the prove button, that is all. I did some (very) small ECM on the two remaining cofactors (N-1), no small factors.

Indeed, it is a small, but very beautiful prime.

[henryzz]

(100^1167-1)*190/99+1 could do with some love.

[a1call]

So many 19s, so little time.
I was planning to start a thread specifically for the primes of the form 19....91.
But life is just too busy. No time for love.