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Number Theory

Source: Bulgaria JTST 2016 P3 day 1

August 27, 2019
number theory proposednumber theory

Problem Statement

Let M(x,y)=x2+xy−2y M (x,y)=x^2+xy-2y , x,y are positive integers a) Solve in positive integers x2+xy−2y=64 x^2+xy-2y=64 b) Prove that if M (x,y) is a perfect square, then x+y+2 is composite if x>2.
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