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JEE MATHEMATICS MCQ: PERMUTATIONS

1 Easy

1 of 1

Analyzing +4 | -1

Let

p

be a prime number such that

p \geq 3

. Let

n=p !+1.

The number of primes in the list

n + 1, n + 2, n + 3, ...., n + p − 1

is

View answer and explanation

Correct option: D

None of these

Option D (None of these) is correct because for each

k

in the list,

n+k

is divisible by

k+1

, meaning none of the numbers in the list are prime.

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