We Need To Go Deeper - 5

(((((x!)!)!)!)!Infinitely many factorials=x\large \underbrace{(\ldots((((x!)!)!)! \ldots)!}_{\text{Infinitely many factorials}} =x

Find the sum of all integer solution(s) that satisfy the equation above.

Notation:

!! denotes the factorial notation. For example, 10!=1×2×3××1010! = 1\times2\times3\times\cdots\times10 .

×

Problem Loading...

Note Loading...

Set Loading...