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perfect square with digits k, k + 1, k + 2, 3k, k + 3 - IOQM 2020-21 p8

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January 18, 2021
number theoryPerfect SquareDigit

Problem Statement

A 55-digit number (in base 1010) has digits k,k+1,k+2,3k,k+3k, k + 1, k + 2, 3k, k + 3 in that order, from left to right. If this number is m2m^2 for some natural number mm, find the sum of the digits of mm.
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