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Number Theory Level 2

Is n ! n! ever prime for any natural n n ? Clarification: n ! = n ( n − 1 ) ( n − 2 ) . . . ( 3 ) ( 2 ) ( 1 ) . n! = n(n - 1)(n - 2)...(3)(2)(1).

No. Yes.

Ekene Franklin by EKENE FRANKLIN , 16, Nigeria

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2 solutions

Ekene Franklin
Dec 12, 2018

One can immediately see that 2 ! = 2 2! = 2 is indeed prime.

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Aaghaz Mahajan
Dec 12, 2018

For n = 2...........

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