Divisibility of one less than a factorial.

Find the sum of all positive integers n n such that n ! 1 2 n + 7 = K \large{\frac{n!-1}{2n+7}=K} for some integer K K .


The answer is 14.

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1 solution

Tom Engelsman
Feb 21, 2021

It holds for n = 1 , 5 , 8 . \boxed{n = 1, 5, 8}.

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