Prove or disprove the following For every natural number n t

Prove or disprove the following: For every natural number n, the interger3n^2 + 17n +17 is prime.

Solution

Dear Student

Thank you for using chegg

Given following function for integers I.e. 3n^2 + 17n +17 for every natural number n

Now to prove that above statement is not true

Let n=2

Hence function value equals

3(2)^2 + 17(2) +17

12 + 34 + 17

=63

Which is not prime

Hence clearly given statement function is untrue