Most integers are not a sum of two palindromes

Abstract

For $g\ge 2$, we show that the number of positive integers at most $X$ which can be written as sum of two base $g$ palindromes is at most $\frac{X}{{\log }^{c}X}$. This answers a question of Baxter, Cilleruelo and Luca.

3 pages

References in corpus (1)

• Every natural number is the sum of forty-nine palindromes