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A134126
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Indices k such that the (k+1)st partial sum of primes divided by k is integer.
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5
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1, 2, 4, 7, 10, 50, 130, 328, 651, 4938, 7492, 8083, 12045, 33170, 43138, 61690, 151496, 265056, 953959, 1971358, 5084552, 9372007, 25274899, 34120615, 38684178, 44161681, 415148959, 1294318767, 3955750033
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| The corresponding quotients are given in A134125.
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FORMULA
| Such integers k>0 that A007504(k+1) == 0 (mod k).
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EXAMPLE
| The indices k=3, 5, 6, 8 etc. do not produce integer quotients and do not appear in the sequence.
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PROG
| 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
| Cf. A134125, A134127, A134128, A134129.
Sequence in context: A036685 A034744 A121352 * A091263 A101430 A140794
Adjacent sequences: A134123 A134124 A134125 * A134127 A134128 A134129
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KEYWORD
| nonn
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AUTHOR
| Enoch Haga (Enokh(AT)comcast.net), Oct 09 2007
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EXTENSIONS
| Edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 17 2009
More terms from Sean A. Irvine (sairvin(AT)xtra.co.nz), Dec 08 2010
a(27), a(28) from D. S. McNeil (mcneil(AT)hku.hk), Dec 08 2010
a(29) from Max Alekseyev (maxale(AT)gmail.com), Jan 28 2012
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