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1/x +1/ y= 1/p diophantine

Source: 2004 Bosnia & Herzegovina JBMO TST p1

May 27, 2020
Diophantine equationdiophantinenumber theory

Problem Statement

In the set of integers solve the equation 1x+1y=1p\frac{1}{x}+\frac{1}{y}=\frac{1}{p}, where pp is a prime number.
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