MathDB
A 32

Source:

May 25, 2007
floor functionDivisibility Theory

Problem Statement

Let a a and b b be natural numbers such that ab=1−12+13−14+⋯−11318+11319. \frac{a}{b}=1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\cdots-\frac{1}{1318}+\frac{1}{1319}. Prove that a a is divisible by 1979 1979.
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