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Topic: Conjecture Prime
Replies: 33   Last Post: Apr 26, 2013 7:21 AM

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 Pubkeybreaker Posts: 1,552 Registered: 2/12/07
Re: Conjecture Prime
Posted: Jun 25, 2009 8:55 AM

On Jun 25, 8:50 am, "Dik T. Winter" <Dik.Win...@cwi.nl> wrote:
> ...
>  > Revised:
>  > The equation and opeation must be written as follows:
>  >
>  > (N*N)((N*N)+2)-1
>  >
>  > In instance of a composite number it will have two prime factors.
>
> N = 10, (N * N)(N * N + 2) - 1 = 10199 = 7 * 31 * 47

Indeed. It can have arbitrarily many prime factors. Just solve
n^4 + 2n^2 - 1 = 0 mod p_i for arbitrarily many p_i, Then use
the Chinese Remainder Theorem to construct solutions modulo the
product of p_i.

Date Subject Author
6/23/09 MeAmI.org
6/23/09 W. Dale Hall
4/26/13
6/24/09 b92057@yahoo.com
4/26/13
6/24/09 Guest
6/24/09 ab
4/26/13
6/24/09 ab
6/25/09 Bacle
4/26/13
6/25/09 MeAmI.org
6/25/09 ab
4/26/13
6/25/09 Guest
6/25/09 Pubkeybreaker
6/25/09 Bacle
6/25/09 Bacle
6/26/09 Guest
6/26/09 Guest
6/25/09 ab
6/25/09 Guest
6/25/09 Dik T. Winter
6/25/09 ab
6/25/09 Guest
6/25/09 Guest
6/25/09 Dik T. Winter
6/25/09 Pubkeybreaker
6/24/09 ab
6/25/09 Guest
6/25/09 ab
6/25/09 tom@iahu.ca
4/26/13
8/22/09 Guest