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TOT 475 1995 Autumn S O3 12-digit number is perfect square

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July 9, 2024
number theoryPerfect Square

Problem Statement

The first digit of a 66-digit number is 55. Is it true that it is always possible to write 66 more digits to the right of this number so that the resulting 1212-digit number is a perfect square?
(A Tolpygo)
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