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# What is the maximum possible value of the greatest common divisor of two consecutive terms of the sequence a_n = n! + n, where n \ge 0?

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What is the maximum possible value of the greatest common divisor of two consecutive terms of the sequence \(a_n = n! + n\), where \(n \ge  0\)?

I'm not sure if it's 2 or not becuase there might be a higher answer...

Aug 18, 2020
edited by ScaryMath  Aug 18, 2020
edited by ScaryMath  Aug 18, 2020
edited by ScaryMath  Aug 18, 2020
edited by ScaryMath  Aug 18, 2020
edited by ScaryMath  Aug 18, 2020