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Repdigit Rigor (Posted on 2014-05-11) Difficulty: 3 of 5
Find all positive integers x, y, z so that:
  • x2 + y = z and:
  • Base ten expansion of each of x and y has precisely n digits and that of z has precisely 2n digits, where n > 1.
  • All the digits of x are the same, all the digits of y are the same and all the digits of z are the same.
Prove that there are no others.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
SolutionSolutionJer2014-05-12 12:47:31
Some Thoughtscomputer explorationCharlie2014-05-11 16:07:53
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