olymmath

IMO 2008 Problem 3

  • Day 1

Prove that there are infinitely many positive integers nn such that n2+1n^{2} + 1 has a prime divisor greater than 2n+2n2n + \sqrt {2n} .

Author: Kestutis Cesnavicius, Lithuania

Dataset text AI-MO AoPS. Quoted with source.

Official text: IMO 2008 official English paper, page 1.

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