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TOT 455 1995 Spring S O4 a0... 09 not a perfext square

Source:

July 9, 2024
number theory

Problem Statement

Prove that a0...09‾\overline{a0... 09} (in which a>0a > 0 is a digit and there is at least one zero) is not a perfect square.
(VA Senderov)
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