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PUZZLET 049

Palindromes and Squares

Find a palindrome whose square can be derived from three consecutive integers, abc, using the process a + b2 + c3(Note that a, b, and c must all be less than 100).

Example: 8 + 92 + 103 = 1089. The square root of 1089 is 33, a palindrome.  Are there any others like this?


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Last Updated: January 11th, 2010.