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Search: id:A134129
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| A134129 |
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Running sums of accumulative totals and next prime associated with A134125: cumulative prime sums producing integral quotients when divided by the running index of the count. |
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6
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| 5, 10, 28, 77, 160, 5350, 43940, 331608, 1464099, 111509916, 269629588, 316586861, 734973855, 6186337680, 10731699088, 22692172980, 148089006456, 474639489984, 6777589645423, 30458742769120
(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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Beginning with 2+3, sum the primes, then proceed adding each new prime to the previous sum, as 5+5=10. In the sequence, terms are omitted which do not produce integral quotients, as does 77/7=11.
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EXAMPLE
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for a(1) index count is 1, primes are 2+3=5, so 5 is added to the sequence; for a(2) the previous total 5 is added to next prime 5 for a total of 10, index 2. 28 is index 4 as 3 does not produce an integral quotient so is not added to the sequence.
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PROGRAM
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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, A134128.
Sequence in context: A128665 A054298 A022094 this_sequence A105862 A093029 A105505
Adjacent sequences: A134126 A134127 A134128 this_sequence A134130 A134131 A134132
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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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