Correct option is D
Given:
Prime numbers p and q
Expression pq+1
Formula Used:
Properties of prime numbers.
Solution:
We need to find a prime number from the options that can be expressed as
pq+1
where both p and q are prime numbers.
Let us check the given options one by one.
For option A: 13
(Here 6 is not prime)
(Here 4 is not prime)
For option B: 29
(Here 14 is not prime)
For option C: 19
(Here 9 is not prime)
(Here 6 is not prime)
For option D: 47
Here, both 2 and 23 are prime numbers.
Thus, 47 satisfies the given condition.
Final Answer
So the correct answer is (d)
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