Is 1! + 11! + 300! prime?

[Joerg Arndt]

* Joseph Biberstine <jrbibers at indiana.edu> [Aug 13. 2006 08:58]:
> AFAICT 2777 is a factor.
> 
> Jonathan Post wrote:
> > Is 1! + 11! + 300! prime? It has 602 digits, and the Alpertron calls it
> > "unknown" as to primality after half an hour on my Linux box. This is
> > the first such case I've encountered in my A! + B! + 1! primality search.

pari/gp:
? n=1! + 11! + 300!

? factor(n, 10^10)

[2777 1]

[32957 1]

[267569 1]

[12498091--snip--261 1]