

A210936


Sum of prime factors of prime(n)1 (counted with multiplicity).


3



0, 2, 4, 5, 7, 7, 8, 8, 13, 11, 10, 10, 11, 12, 25, 17, 31, 12, 16, 14, 12, 18, 43, 17, 13, 14, 22, 55, 13, 15, 15, 20, 23, 28, 41, 15, 20, 14, 85, 47, 91, 15, 26, 15, 18, 19, 17, 42, 115, 26, 35, 26, 16, 17, 16, 133, 71, 16, 30, 18, 52, 77, 25, 38, 22, 83
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OFFSET

1,2


COMMENTS

From an idea of Michael B. Porter.


LINKS

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


FORMULA

a(n) = A001414(A006093(n)).  Michel Marcus, Oct 05 2013


EXAMPLE

prime(10) = 29, and 291 = 28 = 2*2*7, so a(10) = 2+2+7 = 11.


MAPLE

with(numtheory);
P:=proc(i)
local a, k, n;
for n from 1 to i do
a:=ifactors(ithprime(n)1)[2]; print(add(a[k][1]*a[k][2], k=1..nops(a)));
od; end:


CROSSREFS

Cf. A023508, A023514, A210934
Sequence in context: A025511 A224367 A288758 * A140203 A085888 A187325
Adjacent sequences: A210933 A210934 A210935 * A210937 A210938 A210939


KEYWORD

nonn


AUTHOR

Paolo P. Lava, Mar 30 2012


STATUS

approved



