A023510 Greatest exponent in prime-power factorization of prime(n) + 1.

1, 2, 1, 3, 2, 1, 2, 2, 3, 1, 5, 1, 1, 2, 4, 3, 2, 1, 2, 3, 1, 4, 2, 2, 2, 1, 3, 3, 1, 1, 7, 2, 1, 2, 2, 3, 1, 2, 3, 1, 2, 1, 6, 1, 2, 3, 2, 5, 2, 1, 2, 4, 2, 2, 1, 3, 3, 4, 1, 1, 2, 2, 2, 3, 1, 1, 2, 2, 2, 2, 1, 3, 4, 1, 2, 7, 1, 1, 1, 1, 2, 1, 4, 1, 3, 2, 2, 1, 1, 4, 2, 5, 3, 2, 3, 3, 1, 2, 2