Determine the set of primes for which 11 is a quadratic residue.

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- July 22nd 2009, 12:55 AMCairoQuadratic Residues
Determine the set of primes for which 11 is a quadratic residue.

- July 22nd 2009, 01:35 PMTheAbstractionist
First, note that 11 is a quadratic residue mod 2 (e.g.

Let and be odd primes. There is a result (equivalent to the law of quadratic reciprocity) that says that if and only if So you only have to determine all odd primes for which All other odd primes for which 11 is a quadratic residue will congruent to plus or miinus one of these. - July 23rd 2009, 12:43 AMCairoThanks
Thanks.

Do you know where I can find more information on the result that you quoted? I've never seen this before. - July 23rd 2009, 12:25 PMTheAbstractionist