Let p and q be odd prime numbers with p=4q+1. Prove that (q over p) =1 where (q over p) denotes the legendre symbol.
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Originally Posted by mndi1105 Let p and q be odd prime numbers with p=4q+1. Prove that (q over p) =1 where (q over p) denotes the legendre symbol. Since $\displaystyle p\equiv 1(\bmod 4)$ it means $\displaystyle (p/q)=(q/p)$.
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