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Infinitely many positive integers n

Source: Romanian Master Of Mathematics 2012

March 3, 2012

modular arithmeticfunctionnumber theorynumber theory proposed

Problem Statement

Prove that there are infinitely many positive integers

n

such that

2^{2^n+1}+1

is divisible by

n

but

2^n+1

is not.
(Russia) Valery Senderov