MathDB
A 23

Source:

May 25, 2007
quadraticsGaussmodular arithmeticnumber theoryrelatively primeDivisibility Theorypen

Problem Statement

(Wolstenholme's Theorem) Prove that if 1+12+13+⋯+1p−11+\frac{1}{2}+\frac{1}{3}+\cdots+\frac{1}{p-1} is expressed as a fraction, where p≥5p \ge 5 is a prime, then p2p^{2} divides the numerator.
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