N6

Part of 2012 IMO Shortlist

Problems(1)

IMO Shortlist 2012, Number Theory 6

Source: IMO Shortlist 2012, Number Theory 6

x

y

be positive integers. If

{x^{2^n}}-1

is divisible by

2^ny+1

for every positive integer

n

x=1

modular arithmeticnumber theoryDivisibilityIMO Shortlist