RE: [PrimeNumbers] Re: 24n+1 is prime
- Actually, Euler proved it, Fermat conjectured it:
From: Paul Jobling [mailto:Paul.Jobling@...]
Sent: 28 March 2003 15:09
To: 'Adam'; firstname.lastname@example.org
Subject: RE: [PrimeNumbers] Re: 24n+1 is prime
Fermat showed that every prime of the form 4n+1 can be expressed as the sum
two squares in exactly one way.
As a prime of the form 24n+1 is 1 mod 3, x^2+y^2 must be 1 mod 3, and that
happen if exactly one of them is divisible by 3.
What is the problem here?
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