Reciprocal Palindromes

November 30, 2021

Over on YouTube, Michael Penn proves that the sum of reciprocals of the palindromes converges:

\sum_{p \in PALIN} 1/p

But he doesn’t compute the value to which the sum converges.

Your task is to compute the infinite sum. When you are finished, you are welcome to read a suggested solution, or to post your own solution or discuss the exercise in the comments below.

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