May 2021 1 71 Report
let p and q be distinct prime numbers with p ≡ q ≡ 3 mod 4.?

Prove that if the congruence x^2 ≡ p mod q is not solvable, then the congruence x^2 ≡ q mod p has exactly two incongruent solutions modulo p.

Science & Mathematics / Mathematics
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