Question: Consider the statement: "P(n): $n^{2}-n+41$ is prime." Then which one of the following is true?
$P(5)$ is false but $P(3)$ is true
Both $\mathrm{P}(3)$ and $\mathrm{P}(5)$ are false
$P(3)$ is false but $P(5)$ is true
Both $P(3)$ and $P(5)$ are true
Correct Option: , 4
Solution:
$P(n): n^{2}-n+41$ is prime
$P(5)=61$ which is prime
$P(3)=47$ which is also prime
