perplexus.info :: Just Math : Repdigit Rigor

Repdigit Rigor (Posted on 2014-05-11)

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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