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Search: id:A131740
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| A131740 |
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a(n) = sum of n successive primes after the n-th prime. |
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1
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| 3, 12, 31, 60, 101, 156, 223, 304, 401, 510, 631, 766, 923, 1090, 1265, 1470, 1687, 1926, 2179, 2448, 2735, 3040, 3353, 3698, 4057, 4428, 4817, 5230, 5661, 6106, 6555, 7042, 7535, 8064, 8611, 9172, 9755, 10354, 10973, 11610, 12271, 12954, 13645
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The prime number theorem implies that, if q(n) = sum of first n primes, then a(n)/q(n) -> 3 as n -> oo. - N. J. A. Sloane (njas(AT)research.att.com), Oct 04 2007
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EXAMPLE
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a(4)=60 because 11+13+17+19=60 follows the 4th prime, 7.
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MAPLE
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a:=proc(n) options operator, arrow; add(ithprime(j), j=n+1..2*n) end proc: seq(a(n), n=1..45); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Oct 20 2007
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MATHEMATICA
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Table[Sum[Prime[n + i], {i, 1, n}], {n, 1, 50}] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Oct 07 2007
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CROSSREFS
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Cf. A007504.
Sequence in context: A107231 A131936 A009135 this_sequence A037237 A005718 A098500
Adjacent sequences: A131737 A131738 A131739 this_sequence A131741 A131742 A131743
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KEYWORD
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nonn
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AUTHOR
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G. L. Honaker, Jr. (honak3r(AT)gmail.com), Oct 03 2007
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EXTENSIONS
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More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Oct 07 2007
More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Oct 20 2007
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