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Search: id:A134126
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| A134126 |
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Indices associated with A134125: 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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| 1, 2, 4, 7, 10, 50, 130, 328, 651, 4938, 7492, 8083, 12045, 33170, 43138, 61690, 151496, 265056, 953959, 1971358
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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See A134125 and other cross-references.
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FORMULA
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Count from first instance, 2+3=5 (1st count), to second instance: 5 sum added to next prime 5 = 10 (2nd count), etc. The count is maintained whether or not a sum divided by the index is integral.
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EXAMPLE
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This sequence procedes with count of 1,2,3,4,5,6,7,8,. . . . But counts 3,5,6,8 do not produce integral quotients so do not appear in 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 A134127 A134128 A134129.
Sequence in context: A036685 A034744 A121352 this_sequence A091263 A101430 A140794
Adjacent sequences: A134123 A134124 A134125 this_sequence A134127 A134128 A134129
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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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