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Search: id:A134128
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| A134128 |
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Running total associated with A134125 to which each new prime is added: cumulative prime sums producing integral quotients when divided by the running index of the count. |
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+0
6
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| 2, 5, 17, 58, 129, 5117, 43201, 329401, 1459228, 111461983, 269553485, 316504138, 734845192, 6185946407, 10731178047, 22691403557, 148086969623, 474635764987, 6777574922490, 30458710811303
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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See A134125 and cross-references
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FORMULA
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The sequence begins with 2, to which 3 is added. The sum 2+3=5, and this becomes the sum to which the new prime 5 is added, making a new sum of 10. 7 is added making a new sum of 17, but 17/3 is not integral so is not added to the sequence.
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EXAMPLE
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a(7) = 58, Adding the next prime 19, the sum is 77. At count 7 77/7=11, integral, so 58 added to the sequence.
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PROGRAM
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UBASIC: 10 'primes using counters 20 N=3:C=1:R=5:print 2; 3, 5 30 A=3:S=sqrt(N) 40 B=N\A 50 if B*A=N then N=N+2:goto 30 60 A=A+2:O=A 70 if A<=sqrt(N) then 40 80 C=C+1 90 R=R+N:T=R/C:U=R-N 100 if T=int(T) then print C; U; N; R; T:stop 110 N=N+2:goto 30
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CROSSREFS
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Cf. A134125 A134126 A134127 A134129.
Sequence in context: A149990 A149991 A149992 this_sequence A119254 A056679 A084528
Adjacent sequences: A134125 A134126 A134127 this_sequence A134129 A134130 A134131
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KEYWORD
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easy,more,nonn,uned
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AUTHOR
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Enoch Haga (Enokh(AT)comcast.net), Oct 09 2007
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