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2

Part of 2009 Iran Team Selection Test

Problems(1)

Iran TST 2009-Day1-P2

Source:

5/9/2009
Let a a 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
pigeonhole principlemodular arithmeticinequalitiesnumber theoryprime numbersDiophantine equationnumber theory proposed