Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem C. 1266. (January 2015)

C. 1266. Solve the equation $\displaystyle 5(2n+1)(2n+3)(2n+5) =\overline{ababab}$, where $\displaystyle n$ denotes a positive integer, $\displaystyle a$ and $\displaystyle b$ stand for different digits, and $\displaystyle \overline{ababab}$ is a six-digit number.