Num3er 7

Choose another integer n and using factorial, square root, floor and ceiling to obtain n

Then, prove that this can be done for all n ≤ a large arbitrary number

E.g.

$\lceil \, (\sqrt{ \, 2 \, ! \, }) \, \rceil \; = \; 2$

$\lceil \, (\sqrt{ \, 3 \, ! \, }) \, \rceil \; = \; 3$

$\lfloor \, ( \, \sqrt{ \, 4 \, ! \, }) \, ) \, \rfloor \; = \; 4$

$\lfloor \, ( \, \sqrt{ \, 13 \, }) \, !) \, \rfloor \; = \; 13$

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