Hi everybody,

I think that:

Is factorized in prime numbers (according theorem of arithmetic), that are square free.

In other words its dinstict primes (if multiplied) give as result number N.

i.e.

where

Is this correct?

I think this can be handled with Congruence of Clausen and von Staudt proof. Unfortunatelly i cannot find any link (with proof) into internet.

Thank you a lot