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  • Which of the following statement is false?Option: 1 There exist 100 consecutive natural numbers none of which is prime<div class='qna-o

Which of the following statement is false?

Option: 1

There exist 100 consecutive natural numbers none of which is prime


Option: 2

 There exist 1000 consecutive natural number none of which is prime.


Option: 3

Given \mathrm{n \in \mathrm{N}}, there exist \mathrm{n} consecutive natural numbers none of which is prime.


Option: 4

None of these


Answers (1)

best_answer

Given any \mathrm{n \in \mathbf{N}}, then

\mathrm{(n+1) !+2,(n+1) !+3, \ldots \ldots,(n+1) !+(n+1)}

are \mathrm{n} consecutive natural numbers none of which is prime

Posted by

Ajit Kumar Dubey

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