# Superduperfactorial Primes: Primes of the form A055462(k)-1 or A055462(k)+1.

Maximilian Hasler maximilian.hasler at gmail.com
Sun Sep 2 16:06:30 CEST 2007

```That's easily PARI-ized:

A055462(n)=prod(i=2,n,i^((n-i+1)*(n-i+2)/2))
for(i=1,30,if(isprime(t=A055462(i)-1),print1(t",
"));if(isprime(t=A055462(i)+1),print1(t", ")))

but except 2,3,23,6911,238878721,5944066965503999
there is no other prime of that form for k < 30, for which
A055462(30) ~ 10^3849, so the next
term would be anyway to large to include in OEIS.

Maximilian

On 9/1/07, Jonathan Post <jvospost3 at gmail.com> wrote:
> Superduperfactorial Primes: Primes of the form A055462(k)-1 or A055462(k)+1.
>
> 2, 3, 23, 6911, 238878721, 5944066965503999
>
> This is to superduperfactorials as factorial primes are to factorials,
> and as subfactorial primes are to subfactorials, and as hyperfactorial
> primes are to hyperfactorials.
>
> I know that njas and other dislike generic sequences named "primes of
> the form xxx...", but in this case, the analogues to sub-, super-,
> hyper-, and ultrafactorial primes gibes this a context.
>
> Would anyone like to Mathematica-ize or extend this before vacation
> ends and we submit?
>

```