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National and Regional Contests
Switzerland Contests
Switzerland Team Selection Test
1999 Switzerland Team Selection Test
10
10
Part of
1999 Switzerland Team Selection Test
Problems
(1)
product of five consecutive positive integers never not a perfect square
Source: Switzerland - Swiss TST 1999 p10
2/19/2020
Prove that the product of five consecutive positive integers cannot be a perfect square.
Product
consecutive
Perfect Square
number theory