This paper provides a proof for the newly discovered factorial remainder theorem, along with four corollaries and their respective proofs. It introduces the application methods of this factorial theorem and its corollaries through examples, and lists the application cases of this theorem in quadratic residues.This theorem has promising application prospects in quadratic residues and higher-order residues.
关键词
数论/阶乘/排列/二次剩余/高次剩余
Key words
Number Theory/Factorial/Permutation/Quadratic Residue/Higher-Order Residue
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