﻿ Let P be a prime number such that P ≥ 23. Let n = p! + 1. The number of primes in the list n + 1, n + 2, n + 3, … n + p – 1 is : Kaysons Education

# Let P be A Prime Number Such That P ≥ 23. Let n = p! + 1. The Number Of Primes In The List n + 1, n + 2, n + 3, … n + P – 1 Is

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## Question

### Solution

Correct option is

0

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.

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