Re: [math-fun] Bell numbers

But now I have, and Samuel Wagstaff has taken up the baton at http://homes.cerias.purdue.edu/~ssw/bell/index.html The conjecture (which should perhaps be called Touchard's conjecture) has now been checked for prime p < 103. WFL On 3/13/06, Fred lunnon <fred.lunnon@gmail.com> wrote:

My memory has cleared a little about Bell numbers, and I realise that what I had intended to mention earlier concerned their period modulo p, which can be shown to divide (p^p-1)/(p-1); I conjectured that it is exactly that for all p.

I expect there are now factorisations available for a few more primes p, but haven't got around to checking on them ...