Question

Consider the statement: $"P\left(n\right):n^2-n+41$ is prime". Then which one of the following is true?

• A. P$\left(5\right)$ is false but P$\left(3\right)$ is true
• B. Both P$\left(3\right)$ and P$\left(5\right)$ are false
• C. P$\left(3\right)$ is false but P$\left(5\right)$ is true
• D. Both P$\left(3\right)$ and P$\left(5\right)$ are true

Answer 1

Answer: (D)

Both P$\left(3\right)$ and P$\left(5\right)$ are true

$P\left(n\right):n^2-n+41$ is prime

$P\left(5\right)=61$ which is prime

$P\left(3\right)=47$ which is also prime.