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I like to have valuable opinions of the MO community members on following well received question of mine : https://math.stackexchange.com/q/3570663/702232 I'm working on it with very slow rate of progress. The question is deleted and then I'm banned on MO after I asked the above question on MO earlier ( it's first asked on MSE then after sometime with no ...


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Another user suggested that I should advertise this question in MO also, so here comes. It is just a number theoretic curiosity spawned by an earlier question where small cases were handled by a computer search, asking whether to a given $t$ we can find a $k$ such that $(k!)^2\mid (2k-t)!$. I will try and collect interesting stuff on Math.SE to the Pearl ...


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