practice_reciprocalPalindromes/problem_desc

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Over on YouTube, Michael Penn proves that the sum of reciprocals of the
palindromes converges:
\sum_{p \in PALIN} 1/p
But he doesnt 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.