A322420 Sum of the first n*(n+1) primes.

0, 5, 41, 197, 639, 1593, 3447, 6601, 11599, 19113, 29897, 44683, 64615, 90763, 124211, 166551, 218759, 283081, 360979, 454095, 564319, 694297, 846287, 1021511, 1223095, 1454367, 1717867, 2016457, 2352313, 2728929, 3149913, 3619807, 4141547

Offset

0,2

Comments

Partial sums of A109726.

Links

Ray Chandler, Table of n, a(n) for n = 0..10000

Formula

a(n) = A007504(A002378(n)).

Mathematica

f[n_] := Sum[Prime[k], {k, n}]; Table[f[n*(n+1)], {n, 0, 32}]
Module[{nn=40, ap}, ap=Join[{0}, Accumulate[Prime[Range[nn^2-nn+1]]]]; Table[ ap[[n^2-n+1]], {n, nn}]] (* Harvey P. Dale, Jul 14 2021 *)

Crossrefs

Cf. A002378, A007504, A109722-A109726, A122207, A122208, A322421, A322422.

Sequence in context: A096946 A027954 A270623 * A270165 A270157 A322421

Adjacent sequences: A322417 A322418 A322419 * A322421 A322422 A322423

Keyword

nonn

Author

Ray Chandler, Dec 07 2018

Status

approved