Solve this following

eSaral Updated on:
Question:

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

 

  1. $P(5)$ is false but $P(3)$ is true

  2. Both $\mathrm{P}(3)$ and $\mathrm{P}(5)$ are false

  3. $P(3)$ is false but $P(5)$ is true

  4. 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

 

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