Question 330414
When x=0, {{{x^2-x+41=0^2-0+41=0-0+41=41}}} which is prime.



When x=1, {{{x^2-x+41=1^2-1+41=1-1+41=41}}} which is prime.



When x=2, {{{x^2-x+41=2^2-2+41=4-2+41=43}}} which is prime.



When x=3, {{{x^2-x+41=3^2-3+41=9-3+41=47}}} which is prime.



When x=4, {{{x^2-x+41=4^2-4+41=16-4+41=53}}} which is prime.



You can try more numbers, but it turns out that {{{x^2-x+41}}} is prime for integer values of x where {{{0<=x<=40}}}


When x=41, then {{{x^2-x+41=41^2-41+41=1681-41+41=1681=41*41}}} which is NOT prime. So it's composite.



and when x=42, then {{{x^2-x+41=42^2-42+41=1764-42+41=1763=41*43}}} which is NOT prime. So it's composite.