Use of Polynomials over Z/pZ in Number Theory

Explanations 1

• Wilson's theorem using factorization of xp−xx^p - xxp−x over Fp\mathbb{F}_pFp​ Recall that xp−x≡x(x−1)(x−2)⋯(x−(p−1))(modp).x^p-x\equiv x(x-1)(x-2)\cdots(x-(p-1))\pmod{p}.xp−x≡x…

  By Jason Chen, Victor Wang, amaterasu, Victor Wang