Iran TST 2009-Day1-P2
Source:
May 9, 2009
pigeonhole principlemodular arithmeticinequalitiesnumber theoryprime numbersDiophantine equationnumber theory proposed
Problem Statement
Let be a fix natural number . Prove that the set of prime divisors of 2^{2^{n}} \plus{} a for n \equal{} 1,2,\cdots is infinite