Collisions of digit sums in bases 2 and 3

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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.
Original languageEnglish
Number of pages20
JournalIsrael journal of mathematics
Publication statusAccepted/In press - 2022


  • sum-of-digits function
  • digital expansions in different bases

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