SOLUTION: I am trying to see if prime numbers occur and does the formula yeild a composite number. X^2 - X + 41 I need to use 0 and 2 even numbers and 2 odd numbers. can you help?

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: I am trying to see if prime numbers occur and does the formula yeild a composite number. X^2 - X + 41 I need to use 0 and 2 even numbers and 2 odd numbers. can you help?       Log On


   

Question 330414: I am trying to see if prime numbers occur and does the formula yeild a composite number.
X^2 - X + 41
I need to use 0 and 2 even numbers and 2 odd numbers.
can you help?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
When x=0, x%5E2-x%2B41=0%5E2-0%2B41=0-0%2B41=41 which is prime.


When x=1, x%5E2-x%2B41=1%5E2-1%2B41=1-1%2B41=41 which is prime.


When x=2, x%5E2-x%2B41=2%5E2-2%2B41=4-2%2B41=43 which is prime.


When x=3, x%5E2-x%2B41=3%5E2-3%2B41=9-3%2B41=47 which is prime.


When x=4, x%5E2-x%2B41=4%5E2-4%2B41=16-4%2B41=53 which is prime.


You can try more numbers, but it turns out that x%5E2-x%2B41 is prime for integer values of x where 0%3C=x%3C=40

When x=41, then x%5E2-x%2B41=41%5E2-41%2B41=1681-41%2B41=1681=41%2A41 which is NOT prime. So it's composite.


and when x=42, then x%5E2-x%2B41=42%5E2-42%2B41=1764-42%2B41=1763=41%2A43 which is NOT prime. So it's composite.