MathDB
\sqrt{ xxx...x - yy...y}= zzz...z, for digits

Source: Germany 1965 p5

February 21, 2020
Digitsnumber theory

Problem Statement

Determine all triples of nonzero decimal digits (x,y,z)(x,y,z) for which the equality xxx...x⏟2n−yy...y⏟n=zzz...z⏟n\sqrt{ \underbrace{xxx...x}_{2n}- \underbrace{yy...y}_{n}}= \underbrace{zzz...z}_{n} holds for at least two different natural numbers nn.
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