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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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0
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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
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OFFSET
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1,1
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COMMENTS
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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, Oct 04 2007
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LINKS
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Table of n, a(n) for n=1..43.
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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, 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, Oct 07 2007
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CROSSREFS
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Cf. A007504.
Sequence in context: A107231 A131936 A009135 * A037237 A005718 A199231
Adjacent sequences: A131737 A131738 A131739 * 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., Oct 03 2007
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EXTENSIONS
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More terms from Stefan Steinerberger, Oct 07 2007
More terms from Emeric Deutsch, Oct 20 2007
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STATUS
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approved
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