A023514 - OEIS

A023514

a(n) = sum of exponents in prime-power factorization of prime(n) + 1.

1, 2, 2, 3, 3, 2, 3, 3, 4, 3, 5, 2, 3, 3, 5, 4, 4, 2, 3, 5, 2, 5, 4, 4, 3, 3, 4, 5, 3, 3, 7, 4, 3, 4, 4, 4, 2, 3, 5, 3, 5, 3, 7, 2, 4, 5, 3, 6, 4, 3, 4, 6, 3, 5, 3, 5, 5, 5, 2, 3, 3, 4, 4, 5, 2, 3, 3, 3, 4, 4, 3, 6, 5, 3, 4, 8, 4, 2, 3, 3, 5, 2, 7, 3, 5, 4, 5, 2, 4, 5, 5, 7, 4, 4, 5, 6, 4, 4, 3

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OFFSET

1,2

LINKS

Paolo P. Lava, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = A001222(A000040(n)+1). - Zak Seidov, Jan 04 2016

MAPLE

with(numtheory):

a:= n-> add(i[2], i=ifactors(ithprime(n)+1)[2]):

seq(a(n), n=1..100);

MATHEMATICA