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A074793
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Sum of prime powers less than or equal to n.
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0
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0, 2, 5, 9, 14, 14, 21, 29, 38, 38, 49, 49, 62, 62, 62, 78, 95, 95, 114, 114, 114, 114, 137, 137, 162, 162, 189, 189, 218, 218, 249, 281, 281, 281, 281, 281, 318, 318, 318, 318, 359, 359, 402, 402, 402, 402, 449, 449, 498, 498, 498, 498, 551, 551, 551, 551, 551
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| Is a(n) asymptotic to c*n^2/log(n) with c=0.55...?
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EXAMPLE
| a(10)=38 because 2,3,4,5,7,8,9 are the prime powers less than or equal to 10 and 2+3+4+5+7+8+9 = 38
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PROG
| (PARI) a(n)=sum(k=1, n, k*if(omega(k)-1, 0, 1))
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CROSSREFS
| Cf. A034387.
Sequence in context: A049753 A126326 A070986 * A161767 A060139 A025281
Adjacent sequences: A074790 A074791 A074792 * A074794 A074795 A074796
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KEYWORD
| nonn
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AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Sep 07 2002
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