jmc

Consider the differences between consecutive prime numbers and look for the first difference of 6 or greater. The first several prime numbers are $$2,3,5,7,11,13,17,19,23,29,31,37,\dots ,$$ and the differences between consecutive terms of this sequence are $$1,2,2,4,2,4,2,4,6,2,\dots .$$ The first appearance of a difference of 6 or greater occurs between 23 and $\boxed{29}$.