I've been able to prove that the set {8n+7} has infinite primes by manipulating Fermat's Theorem, but I'm trying to reprove it using quadratic residue and Legendre Polynomials.(adsbygoogle = window.adsbygoogle || []).push({});

I've been able to show that for p=8n+7, (2/p)=1 and (-1,p)=-1

So it follows that (-2/p)=-1. And that (-2/p)=1 iff p congruent to 1 or 5 mod 8.

any ideas how to extend that to the final proof?

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# Infinite primes using Quadratic Residues

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