Question

Let p be a prime number such that p ≥ 3. Let n = p! + 1. The number of primes in the list n + 1, n + 2, n + 3, … , n + p – 1 is

(A)  p – 1

(B)  2

(C)  1 

(D)  None of these 

Answer 1

Correct option  (D) None of these

For 1 ≤ k ≤ p – 1, n + k = p! + k + 1, is clearly divisible by k + 1. 

Therefore, there is no prime number in the given list.