Hi,

As I posted in to number theory forum, I noticed that

$\displaystyle

N^{s+1}\equiv N \quad Denominator[B_s]

$

where $\displaystyle B_s$ is the $\displaystyle s-th$ Bernoulli Number

I think that i have also a correct proof.

Here I also have the opportunity to thank this forum not olny for the help prividing me, but also for giving me the chance of expressing my concerns in mathematics.