A082910 a(n)=p[p(n+1)-p(n)]=A000040[A001223(n)].

2, 3, 3, 7, 3, 7, 3, 7, 13, 3, 13, 7, 3, 7, 13, 13, 3, 13, 7, 3, 13, 7, 13, 19, 7, 3, 7, 3, 7, 43, 7, 13, 3, 29, 3, 13, 13, 7, 13, 13, 3, 29, 3, 7, 3, 37, 37, 7, 3, 7, 13, 3, 29, 13, 13, 13, 3, 13, 7, 3, 29, 43, 7, 3, 7, 43, 13, 29, 3, 7, 13, 19, 13, 13, 7, 13, 19, 7, 19, 29, 3, 29, 3, 13, 7, 13