MathDB

1980^{197} | (k + 1)(k + 2)...(k + 1980)

Source: Czech and Slovak Olympiad 1980, National Round, Problem 1

September 13, 2024

number theorydividesdivisible

Problem Statement

Prove that for every nonnegative integer

k

there is a product

(k + 1)(k + 2)...(k + 1980)

divisible by

1980^{197}