

A161624


Sum of all numbers from n to nth prime.


1



3, 5, 12, 22, 56, 76, 132, 162, 240, 390, 441, 637, 783, 855, 1023, 1311, 1634, 1738, 2107, 2366, 2491, 2929, 3233, 3729, 4453, 4826, 5005, 5400, 5589, 6006, 7663, 8150, 8925, 9169, 10580, 10846, 11737, 12663, 13287, 14271, 15290, 15610, 17433, 17775
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OFFSET

1,1


LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000


FORMULA

a(n) = sum_{k=n..prime(n)} k.


EXAMPLE

First prime is 2, so a(1) = 1+2 = 3; fifth prime is 11, so a(5) = 5+6+7+8+9+10+11 = 56.


MATHEMATICA

snos[n_]:=Module[{pr=Prime[n]}, ((pr+n)(prn+1))/2]; Array[snos, 50] (* Harvey P. Dale, Jun 05 2012 *)


PROG

(MAGMA) [ &+[n..NthPrime(n)]: n in [1..44] ]; [From Klaus Brockhaus, Jun 14 2009]


CROSSREFS

Cf. A000027, A000040, A161570.
Sequence in context: A191391 A121482 A013498 * A247794 A034758 A215109
Adjacent sequences: A161621 A161622 A161623 * A161625 A161626 A161627


KEYWORD

nonn


AUTHOR

JuriStepan Gerasimov, Jun 15 2009


EXTENSIONS

Edited and extended by Klaus Brockhaus, Jun 15 2009


STATUS

approved



