Fwd: Re: Yet another Lucas-Lehmer like primality test ?
- --- In firstname.lastname@example.org, Phil Carmody <thefatphil@...>
> >Yes Phil, I knew Mike was looking all PRP numbers of this form for b up
> > [strange coincidence]
> > I'm right now within a day or so of completing a multi-year project
> > to find all PRPs of this form, viz. b^p-(b-1)^p, for 3 <= b <= 1000,
> > p < 10000, with primality proofs for all p < 1000.
> > There's just one more PRIMO certification (c. 9000 bits) to do, then
> > I'll post the results on a web page.
> > -Mike Oakes
to 1000 and p up to 10000. But I didn't know that he had almost
terminated this work and that he also had in fact certified all these
PRP with primo.
Great job !
It would be interesting to have a table of all these primes. I would
like to check whether my statements are compatible with Mike's result
BTW, Mike : does this titanic work reveals some interesting (non
trivial) properties for this form of numbers ?