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2

Part of 2007 Greece JBMO TST

Problems(1)

n(n+3) a perfect square => 3 not a multiple of 3

Source: Greece JBMO TST 2007 p2

6/17/2019
Let nn be a positive integer such that n(n+3)n(n+3) is a perfect square of an integer, prove that nn is not a multiple of 33.
number theoryPerfect Squaremultiple