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In this paper we extend a result of Hirata-Kohno, Laishram, Shorey andTijdeman on the Diophantine equation $n(n+d)...(n+(k-1)d)=by^2,$ where$n,d,k\geq 2$ and $y$ are positive integers such that $\gcd(n,d)=1.$

Note on a paper "An Extension of a Theorem of Euler" by Hirata-Kohno et al