TITLE: Is $1847^{2013}+2$ really a prime?
QUESTION [25 upvotes]: The number $1847^{2013}+2$ is a probable prime. Is it really prime?
I started primo, but it seems to slow for this task. I noticed that there is a faster program used to find the primes $n^{5000}+n^{2013}+1$. But this time, the certification should be more difficult, because $1847^{2013}+1$ is not easy to factor. Anyway, I wait for a certificate.

REPLY [6 votes]: Yes, it really is a prime.
It took about a week to get it checked by Primo on my spare, not-exactly-cutting-edge machine. You can confirm its primality certificate by Primo yourself; verification is considerably faster than searching for the certificate in the first place.