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Set of natural

Source: St Petersburg Olympiad 2014, Grade 11, P5

October 24, 2017
number theory

Problem Statement

MM is infinite set of natural numbers. If a,b,a≠ba,b, a\neq b are in MM, then ab+2a^b+2 or ab−2a^b-2 ( or both) are in MM. Prove that there is composite number in MM
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