MathDB

p/q = 1-1/2+1/3+...+1/1335

Source: 2003 Cuba MO 2.2

September 15, 2024

number theorydivides

Problem Statement

Prove that if

\frac{p}{q}=1-\frac{1}{2} + \frac{1}{3}- \frac{1}{4} + ... -\frac{1}{1334} + \frac{1}{1335}

where

p, q \in Z_+

then

p

is divisible by

2003