Quadratic ResidueQuadratic Residue a prime number except 2 If has an integer solution, is a quadratic residue of divisor and a quadratic nonresidue otherwise. Consider . is a quadratic residue is a quadratic nonresidue Legendre's symbols
If , then First supplementary law Second supplementary law Reciprocity law a prime number other than 2 Jacobi's symbols an odd number other than 1 (factorization into prime numbers) If , then
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