Prove the number theory conjecture

[yeland404]

Homework Statement

prove or disprove the following conjecture:

If n is a positive integar, then n^2 - n +41 is a prime number

Homework Equations

no, just prove or disprove

The Attempt at a Solution

I think one possible answer may be there is no factorization for this except itself and 1.
not like N^2-1 which can write as (n-1)(n+1)

 

[Dick]

Isn't there some value of n for which it's clearly not prime? Maybe n^2 - n +41 divisible by 41?

 

[Punkyc7]

If you think carefully plug in a value for which might be staring at you... and factor...