#math trivia #262 solution

We’re restricted to even palindromes, so our set of candidates (same forward and reverse) is:

  • 2, 4, 6, 8
  • 22, 44, 66, 88
  • 202, 212, 222, 232, 242, 252, 262, 272, 282, 292

Among these, the only ones that are not twice a palindrome are 212, 232, 252, 272 and 292; the carry breaks the symmetry.  The others are all twice a palindrome.

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