MathDB

32

Part of PEN A Problems

Problems(1)

A 32

Source:

5/25/2007
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.
floor functionDivisibility Theory