The purpose of this historical remark is to observe that a slightly stronger form of a recent theorem of Zhang and Yue can be proved more easily using an elementary method given by Dirichlet in 1834.

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Keywords Congruences, Dirichlet's method, Theorem of zhang and yue
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Journal Journal of Number Theory
Williams, K.S. (2015). Historical remark on a theorem of Zhang and Yue. Journal of Number Theory, 147, 691–693. doi:10.1016/j.jnt.2014.08.011