SOLUTION: Prove or disprove the following: The expression n2 – n +41 produces a prime number for every positive integer n. (Hint: try the following numbers 1, 10, and 41).

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: Prove or disprove the following: The expression n2 – n +41 produces a prime number for every positive integer n. (Hint: try the following numbers 1, 10, and 41).       Log On


   

Question 588005: Prove or disprove the following: The expression n2 – n +41 produces a prime number for every positive integer n. (Hint: try the following numbers 1, 10, and 41).
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
n = 41 fails because 41^2 - 41 + 41 = 41^2, obviously not a prime number.