Regarding the question, the prime must be a natural number, so n>0. I used Mathematica to test for primes for n ranging from $1$ to $10^5$. All of them were not prime aside from $n=1$, which gives you $2$. I believe contradiction would be used for proving that there are no other primes of this form. I am just not sure where to go from there.
Thank you for your assistance.