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1 vote
0 answers
47 views

Periodicity of Bell numbers modulo $n$

After doing some numerical simulations, I rediscovered that the Bell numbers are periodic modulo $n$, that is to say we have the following identities : \begin{align} B_{n+3} &= B_n\mod{2} \\\\ ...
Zakhurf's user avatar
  • 888
3 votes
1 answer
566 views

Bell number modulo prime power

I'd like to ask how to fastly calculate the Bell number $B_n$ modulo a prime power, where $n$ is around one million.
Hang Wu's user avatar
  • 1,586
0 votes
2 answers
210 views

Remebering bell numbers

I read about Bell numbers and I'm looking for a way to generate these numbers quickly for tests and exams. I know there is a recursively relation but it is not useful for big numbers .
S.H.W's user avatar
  • 4,359