MathDB

IMO ShortList 1998, number theory problem 5

Source: IMO ShortList 1998, number theory problem 5

October 22, 2004

modular arithmeticnumber theoryDivisibilityIMO Shortlist

Problem Statement

Determine all positive integers

n

for which there exists an integer

m

such that

{2^{n}-1}

is a divisor of

{m^{2}+9}