If P(n) is the statement “n 2 – n + 41 is prime”, prove that P(1), P(2) and P(3) are true. Prove also that P(41) is not true. Given. P(n) = n 2 - n + 41 is prime Prove. P(1),P(2) and P(3) are true and P(41) is not true.

Question

Philoid · Accepted Answer

P(n) = n² - n + 41

= P(1) = 1 - 1 + 41

= P(1) = 41

Therefore, P(1) is Prime

= P(2) = 2² – 2 + 41

= P(2) = 4 - 2 + 41

= P(2) = 43

Therefore, P(2) is prime

= P(3) = 3² – 3 + 41

= P(3) = 9 – 3 + 41

= P(3) = 47

Therefore P(3) is prime

Now, P(41) = (41)² - 41 + 41

= P(41) = 1681

Therefore, P(41) is not prime

Hence, P(1),P(2),P(3) are true but P(41) is not true.

If P(n) is the statement “n2 – n + 41 is prime”, prove that P(1), P(2) and P(3) are true. Prove also that P(41) is not true.Given. P(n) = n2 - n + 41 is primeProve. P(1),P(2) and P(3) are true and P(41) is not true.

If P(n) is the statement “n² – n + 41 is prime”, prove that P(1), P(2) and P(3) are true. Prove also that P(41) is not true.
Given. P(n) = n² - n + 41 is prime

Prove. P(1),P(2) and P(3) are true and P(41) is not true.