Bart Goddard, Jeremy Rouse
Published 2016-07-22Version 1
A \emph{repdigit} is a natural number greater than 10 which has all of its base-10 digits the same. In this paper we find all examples of two repdigits adding to a square. The proofs lead to interesting questions about consecutive quadratic residues and non-residues, and provide an elementary application of elliptic curves.
On the Arakelov theory of elliptic curves
Supersingular primes for points on $X_0(p)/w_p$
Park City lectures on elliptic curves over function fields
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