Wolstenholme's Theorem

Explanations 3

• Wolstenholme's Theorem. Statement 1. Let p>3p>3p>3 be a prime number. Then, (2p−1p−1)≡1(modp3)\dbinom {2p-1}{p-1} \equiv 1 \pmod {p^3}(p−12p−1​)≡1(modp3). Statement 2. Let p>3p>…

  By Ahaan Rungta

• Wolstenholme's theorem states that for a prime number p > 3, the congruence (2p−1p−1)≡1(modp3){2p-1 \choose p-1} \equiv 1 \pmod{p^3}(p−12p−1​)≡1(modp3) holds, where the parenthe…

  By aratrika, Po-Shen Loh

• Prove that the converse of Wolstenholme's Theorem is true for even positive integers.

  By aratrika