Question

Identify seven consecutive composite numbers between 1 to 100 so that there is no prime number between them.

Answer 1

First we need to write all the prime numbers between 1 to 100

$2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97$

To get 7 consecutive composite numbers, there should be two prime numbers with a difference of 8.

And that's only possible between 89 and 97.

Hence, the seven consecutive composite numbers are 90,91,92,93,94,95,96.