PUZZLET 052

Palindromes from Squares

It is a fact that palindromic integers, when squared, produce more palindromes. On the other hand, most non-palindromic integers when squared don't produce palindromes. Palindromes derived from squaring non-palindromes are comparatively rare.

Find all non-palindromic integers whose squares are palindromes, up to a maximum value for the square of one billion (10^{9}).

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Last Updated: January 11th, 2010.