

A107738


Primes as a sum of prime factors and their orders in prime decomposition of some n.


3



3, 7, 5, 5, 11, 7, 17, 13, 7, 23, 11, 11, 13, 13, 19, 17, 41, 11, 7, 47, 17, 11, 17, 11, 19, 19, 13, 23, 71, 23, 31, 11, 13, 23, 23, 83, 13, 17, 37, 29, 29, 101, 13, 107, 29, 11, 113, 29, 37, 11, 17, 131, 31, 19, 37, 19, 29, 19, 43
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OFFSET

1,1


COMMENTS

Primes occurring in A008474. Corresponding n's in A107738. Cf. A008474 If n = Product (p_j^k_j) then a(n) = Sum (p_j + k_j).


LINKS

Table of n, a(n) for n=1..59.
Eric Weisstein's World of Mathematics, Prime Factorization


MATHEMATICA

ta=Table[Plus @@ Flatten[FactorInteger[n]], {n, 300}]; bb={}; Do[If[PrimeQ[t=ta[[i]]], bb=Append[bb, {i, t}]], {i, 300}]; tr=Transpose[bb]; A107737=tr[[1]]; A107738=tr[[2]]


CROSSREFS

Cf. A008474, A107737.
Sequence in context: A205528 A021731 A084726 * A238048 A010624 A019638
Adjacent sequences: A107735 A107736 A107737 * A107739 A107740 A107741


KEYWORD

nonn


AUTHOR

Zak Seidov, May 23 2005


STATUS

approved



