Question

How can we prove using mathematical induction that `n^2+n+1` is a prime number if n is a natural number and a prime number itself?

Answer 1

There is no way to prove it.

Explanation:

If you substitute `n=6` (which is not prime), you get `6^2+6+1=43`, which is prime.

Answer 2

That is not true because considering `n = 7` which is prime, we have `7^2+7+1=57 = 3 xx 19`