14093Re: Primes of the form (n^n-1)/(n-1)
- Nov 29, 2003I have worked on these at the same time I worked on 2*a^a+-1. N must
be prime in order for the above to be prime. I have searched for
PRP's for a large n value (above 10000) and found only these 4.
Probably the number of primes of this type are finite.
As for n=13 and 19, both are prime.
--- In firstname.lastname@example.org, "julienbenney" <jpbenney@f...>
> Moving away from prime quadruples, there is another topic that Ihave
> never seen anything written about that I am curious about.1)
> I know from tables of generalised repunit primes that ((n^n)-1)/(n-
> is prime for n = 2, 3, 19 and 31 and for no other n up to 1,000. Isfor
> there a theorem that could show these four numbers to be the only n
> which ((n^n)-1)/(n-1) is prime?[I am
> Also, when was the primality of 19^19-1/18 and 31^31-1/30 proved?
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