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 A161624 Sum of all numbers from n to n-th 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 (list; graph; refs; listen; history; text; internal format)
 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. a(n) = A034953(n) - A000217(n-1). - Michel Marcus, Feb 02 2018 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)(pr-n+1))/2]; Array[snos, 50] (* Harvey P. Dale, Jun 05 2012 *) PROG (Magma) [ &+[n..NthPrime(n)]: n in [1..44] ]; // Klaus Brockhaus, Jun 14 2009 CROSSREFS Cf. A000027, A000040, A000217, A034953, A161570. Sequence in context: A121482 A368858 A013498 * A247794 A034758 A215109 Adjacent sequences: A161621 A161622 A161623 * A161625 A161626 A161627 KEYWORD nonn AUTHOR Juri-Stepan Gerasimov, Jun 15 2009 EXTENSIONS Edited and extended by Klaus Brockhaus, Jun 15 2009 STATUS approved

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Last modified May 24 12:09 EDT 2024. Contains 372773 sequences. (Running on oeis4.)