TITLE: What is the least number $n$, such that $n^{2015}+2015$ is prime?
QUESTION [7 upvotes]: What is the least number $n$, such that $n^{2015}+2015$ is prime ?
According to my calculations, there is no prime for $n\le 6000$.
It is clear, that $n$ must be even, since $n^{2015}+2015$ must be odd.

REPLY [4 votes]: The first one seems to be $n=9462$ (according to Mathematica), i.e.
$$
9462^{2015}+2015
$$
is prime. I have no good mathematical arguments for this, though.
The code I used to get this was:
 n=2;
 While[Not[PrimeQ[n^2015 + 2015]], Print[n]; n = n + 2]

It stoped at 9460. Just to be sure, I ran
 PrimeQ[9462^2015+2015]

and the response was True.