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A085729 Sum of prime factors of prime powers. 0
0, 2, 3, 4, 5, 7, 6, 6, 11, 13, 8, 17, 19, 23, 10, 9, 29, 31, 10, 37, 41, 43, 47, 14, 53, 59, 61, 12, 67, 71, 73, 79, 12, 83, 89, 97, 101, 103, 107, 109, 113, 22, 15, 127, 14, 131, 137, 139, 149, 151, 157, 163, 167, 26, 173, 179, 181, 191, 193, 197, 199, 211, 223 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(n) = A001414(A000961(n)).

LINKS

Table of n, a(n) for n=1..63.

Eric Weisstein's World of Mathematics, Prime Power.

Eric Weisstein's World of Mathematics, Sum of Prime Factors.

FORMULA

a(p^e) = e*p: a(n)=A025474(n)*A025473(n).

CROSSREFS

Sequence in context: A152302 A071180 A031225 * A331269 A073907 A131424

Adjacent sequences:  A085726 A085727 A085728 * A085730 A085731 A085732

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Jul 20 2003

STATUS

approved

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Last modified September 22 14:26 EDT 2020. Contains 337291 sequences. (Running on oeis4.)