|
|
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: A191391 A121482 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
|
|
|
|