Hi everyone
While i am working on some computer algorithms, I encounter the following

$N^{(s+1)}-N=0 mod{ }Denominator[B_s]$

Where Bs is the s bernoulli number and N any integer.
Is this well known?

It it is not, please tell me also!

(ps: I have found some equlavets of this relation)

Thank you a lot.

2. I don't know the answer to that question, but it looks as though it may be related to the Staudt–Clausen theorem.