wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Consider the statement : ''P(n):n2n+41 is prime.'' Then which of the following is true ?

A
Both P(3) and P(5) are false.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
P(3) is false but P(5) is true.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
P(5) is false but P(3) is true.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
Both P(3) and P(5) are true.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D Both P(3) and P(5) are true.
P(x)=x2x+41, where x is a prime number.
P(3)=323+41=47
P(3) is a prime
P(5)=525+41=61
P(5) is also prime
Since, both P(3) and P(5) are prime therefore, both P(3) and P(5) are true.

flag
Suggest Corrections
thumbs-up
6
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon