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Search: id:A134127
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| A134127 |
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Largest prime in the partials sums of primes in A134125 which have integer averages. |
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+0
6
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| 3, 5, 11, 19, 31, 233, 739, 2207, 4871, 47933, 76103, 82723, 128663, 391273, 521041, 769423, 2036833, 3724997, 14722933, 31957817
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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Add primes to cumulative totals 3 (to 2), 5, 7, 11, 13, 17, 19, etc. But 7, 13, 17 are omitted from the sequence because the sums at counts 3, 5, 6, e.g., do not produce integral quotients
a(n)=A000040(1+A134126(n)). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 10 2008
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EXAMPLE
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At a(4) 11 is added to the previous sum 17: 17+11=28, and the index count is 4, so 28/4=7, integral, so 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 A1241126 A134128 A134129.
Sequence in context: A124098 A127453 A092602 this_sequence A078722 A089098 A129384
Adjacent sequences: A134124 A134125 A134126 this_sequence A134128 A134129 A134130
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KEYWORD
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easy,more,nonn
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AUTHOR
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Enoch Haga (Enokh(AT)comcast.net), Oct 09 2007
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EXTENSIONS
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Edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 10 2008
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