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2007 JBMO TST- Macedonia, problem 1

Source: 2007 JBMO TST- Macedonia

May 28, 2019
JMMOJunior2007Macedonianumber theory

Problem Statement

Does there exist a positive integer nn, such that the number n(n+1)(n+2)n(n + 1)(n + 2) is the square of a positive integer?
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