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Collisions of digit sums in bases 2 and 3
Published 24 May 2021 in math.NT | (2105.11173v2)
Abstract: We prove a folklore conjecture concerning the sum-of-digits functions in bases two and three: there are infinitely many positive integers $n$ such that the sum of the binary digits of $n$ equals the sum of the ternary digits of $n$.
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