Collisions of digit sums in bases 2 and 3
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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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | 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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| DOI: | 10.48550/arxiv.2105.11173 |