Express 314159265358979323846 as a sum of positive palindromes, the idea being to use as few summands as you can.
After solving this I headed over to the OEIS and searched for
"Numbers that are not the sum of two palindromes". I figured the exceptions would be a notable sequence. Indeed, OEIS A035127
are those numbers.
In the notes it is mentioned that all numbers can be expressed as the sum of at most three palindromes in any base of at least 5. They include a link to this proof