Re: [PrimeNumbers] Re: GFN Now Largest Known Prime?????
- Proth 6.x uses the base 2 for the PRP test of GFN then all Fermat numbers
were reported probable prime (and composite for N > 2^4 during the
Because many people thought that they had discovered the new largest known
prime by using GFN with b=2^a and N=2^(24-a), I modified this in Proth 7.x:
if b is a power of 2, Proth uses the base 3 for the PRP test and then
declares Fermat numbers composite during the first test.
It was just another verification with Proth 6.x then F_24 is a base-2 PRP.
----- Original Message -----
From: "jbrennen" <jack@...>
Sent: Monday, August 26, 2002 6:37 PM
Subject: [PrimeNumbers] Re: GFN Now Largest Known Prime?????
--- In primenumbers@y..., David Underbakke <david@u...> wrote:
> 9999 65536^1048576+1 5050446 g224
> Congratulations to prover g224.
This is an obvious fake. This number is F_24 (2^2^24+1), which
was proven composite in 1999.