1. ## prime numbers

Problem:
n^2 + n + 41 = a prime number

where n = 0, 1, 2, 3, 4, .... (any positve integer)

Show that this is untrue without doing any calculation.

I think:
It has something to do with odd and even but after playing around with this idea can't find a solution.....help

let $n = 41$