MathDB
Composite sum

Source: 239 2009 J4

July 29, 2020
number theory

Problem Statement

The natural numbers x,y>1x, y > 1, are such that x2+xyāˆ’yx^2 + xy -y is the square of a natural number. Prove that x+y+1x + y + 1 is a composite number.
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