MathDB
Wolstenholme's Theorem

Source: Czech-Polish-Slovak Match 2008, P3

April 14, 2013
modular arithmeticquadraticsnumber theoryprime numbersnumber theory proposed

Problem Statement

Find all primes pp such that the expression (p1)2+(p2)2+⋯+(pp−1)2\binom{p}1^2+\binom{p}2^2+\cdots+\binom{p}{p-1}^2 is divisible by p3p^3.
Back to ProblemsView on AoPS