EDITED - sequences related to x^x+p being prime (Primo has certified 444^444+5)

[r.shepherd]

Cino, (Hugo), others,

Somehow I missed your follow-up message saying (in part):

> >isprime(444^444+5)
> %1 = 1
>
> Took about 9 hours on  p4 2.53 ghz

but having seen your earlier message that includes

> and have been running isprime(444^444+5) for 8hrs so far on a
> 2.53 ghz p4 xp pro. I am sure it will run out of stack

I began certification of 444^444+5 with Primo (1.2.1 freeware unregistered
version).  This 1176-digit number was certified prime by Primo, producing
a 56.8KB certificate file.  If anyone would like to see the certificate
file, just ask and I'll e-mail it to you (not to the list of course).

This certification took 32 hours on a much slower machine, 400 mhz, while
two other very intensive calculation programs -- looking for small probable
primes prior to relatively large prime gaps -- were also running.

For what it's worth,
Rick