Although there are infinitely many prime numbers,
see the theorem,
there are gaps of arbitrary length between two consecutive prime numbers.
For example, none of the following hundred consecutive numbers
101! + 2, 101! + 3, 101! + 4, ..., 101! + 100,
101! + 101 is prime. Nontrivial divisors (that means divisors larger than 1
and smaller than the number itself) are consecutively
2, 3, ..., 100, 101.