Question

If e and f are prime numbers between 2 and 40 with no prime number between them, what is the greates possible value of f - e?

Answer 1

Hmm I think the largest jumps are from 23 to 29, and then again from 31 to 37.
I can't seem to find any larger gaps between the primes in this range :O

Answer 2

Brute force search

Answer 3

Table[Prime[i + 1] - Prime[i], {i, 1, 12}]
{1, 2, 2, 4, 2, 4, 2, 4, 6, 2, 6, 4}

Answer 4

Table[Prime[i], {i, 1, 12}]
{2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}