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JEE Main201910 Jan 2019Morning ShiftMathematicsMathematical ReasoningActual

Consider the statement: " P n : n 2 - n + 41 is prime". Then which one of the following is true?

Options

  1. AP 3 is false but P 5 is true
  2. BBoth P 3 and P 5 are false
  3. CBoth P 3 and P 5 are true
  4. DP 5 is false but P 3 is true

Correct answer

C. Both P 3 and P 5 are true

Step-by-step solution

Given P n = n 2 - n + 41 P 3 = 9 - 3 + 41 = 47 P 5 = 25 - 5 + 41 = 61 Hence P 3 and P 5 both are prime. Hence, both are true.

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