A322422 -id:A322422 - cp's OEIS frontend

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

Ray Chandler, Dec 07 2018

nonn

Partial sums of A109726.

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

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

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 *)

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

A322421 Primes of the form A322420(k) or the sum of the first k*(k+1) primes.

Original entry on oeis.org

5, 41, 197, 44683, 360979, 3619807, 5353841, 25106701, 47525059, 159781073, 188024357, 243458497, 445838927, 1015334371, 2018174117, 2079737563, 4925466041, 5294877781, 6383922529, 6531129499, 6680974507, 7635495793

Offset: 1

Ray Chandler, Dec 07 2018

nonn

Ray Chandler, Table of n, a(n) for n = 1..1000

Cf. A002378, A007504, A322420, A322422.

f[n_] := Sum[Prime[k], {k, n}]; Select[
Table[f[n*(n + 1)], {n, 0, 240}], PrimeQ]

a(n) = A007504(A002378(A322422(n))) = A322420(A322422(n)).

cp's OEIS Frontend

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

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