Verified Solution • 2025–26 Session moderate

QJEEM19Maea39: JEE Main 2019 Mathematics - Class 11 JEEM19Maea39 Solution: Consider the statement : "P(n) : n 2 – n + 41 is prime". Then…

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

Multiple Choice Options

  • A P(5) is false but P(3) is true
  • B Both P(3) and P(5) are true
  • C P(3) is false but P(5) is true
  • D Both P(3) and P(5) are false

Step-by-Step Verified Solution

P(n) : n2 −- n + 41 is prime

P(5) = 61 which is prime

P(3) = 47 which is also prime

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