olymmath

OMA 2020 Problem 1

    For every positive integer nn , let S(n)S (n) be the sum of the digits of nn . Find, if any, a 171171 -digit positive integer nn such that 77 divides S(n)S (n) and 77 divides S(n+1)S (n + 1) .

    Dataset text AI-MO AoPS. Quoted with source.

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