Consider the statement: “P(n) : n2 – n + 41 is prime.” Then which one of the following is true?

Question:

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

  1. Both $\mathrm{P}(3)$ and $\mathrm{P}(5)$ are true.

  2. $\mathrm{P}(3)$ is false but $\mathrm{P}(5)$ is true.

  3. Both $P(3)$ and $P(5)$ are false.

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


Correct Option: 1

JEE Main Previous Year 1 Question of JEE Main from Mathematics Mathematical Induction chapter.
JEE Main Previous Year Jan. 10, 2019 (II)

Solution:

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