Solution for Section 3.1 Question 2

2.  Substitute each possible value of x into the expression  x² + x + 41  and show that you always obtain a prime number.

• 0² + 0 + 41 = 41 (prime)
• 1² + 1 + 41 = 43 (prime)
• 2² + 2 + 41 = 47 (prime)
• 3² + 3 + 41 = 53 (prime)
• 4² + 4 + 41 = 61 (prime)
• 5² + 5 + 41 = 71 (prime)

Back to Section 3.1