The arbitrarily long gaps between v-palindromes conjecture

Let b2b\geq2 be an integer. A vv-palindrome is a number satisfying the paper's definition in base bb.

Arbitrarily long gaps conjecture. Consecutive positive integers each not a vv-palindrome in base bb can be arbitrarily long.

The conjecture is motivated by the example of 377377 consecutive positive integers from 199199 through 575575 that are not vv-palindromes in base ten. Its status is not resolved in the supplied text.

Sources & referencesView supporting material

Primary source

Daniel Tsai, “v-palindromes: an analogy to the palindromes”, arXiv:2111.10211 (2021).

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