Wilson Theorem on Quadratic Residue System of Modulus m
Hongbin Xiong · Jiangxi kexue · 2011
Wilson Theorem on Quadratic Residue System of Modulus m has been studied in this paper.It shows that if the modulus m has primitive roots,and-1 is a quadratic residue of the modulus m,then the congruent number of the product of all the quadratic residues is-1,otherwise,the congruent number of the product of all the quadratic residues is 1,and the congruent numbers between the products of all the quadratic nonresidues and residues of the modulus m are contrary.If the modulus m has no primitive roots,the congruent numbers between the products of all the quadratic nonresidues and residues of the modulus m are equal to each other.