A122209 Sum of squares of the first n^2 primes = A024450[n^2].

4, 87, 1556, 13275, 65796, 239087, 710844, 1789395, 4083404, 8384727, 16156884, 29194283, 50363460, 82888311, 132264452, 204330315, 306450780, 450504551, 647579748, 913503459, 1262033828, 1725350295, 2318488092, 3072687971

Offset

1,1

Comments

Prime a(n) are listed in A122210[n] = {239087,29194283,13459558559,2330212120559,591302115428891,...}. Corresponding numbers n such that a(n) is a prime are listed in A122211[n] = {6,12,30,66,156,180,228,336,366,...}.

Links

Table of n, a(n) for n=1..24.

Formula

a(n) = Sum[ Prime[k]^2, {k,1,n^2} ]. a(n) = A024450[n^2].

Mathematica

Table[Sum[Prime[k]^2, {k, 1, n^2}], {n, 1, 50}]
Module[{nn=600, t}, t=Accumulate[Prime[Range[nn]]^2]; Table[t[[i]], {i, Range[ Floor[ Sqrt[nn]]]^2}]] (* Harvey P. Dale, Dec 21 2014 *)

Crossrefs

Cf. A122210, A122211, A024450, A098561, A098562.

Sequence in context: A162086 A116320 A220277 * A059577 A239007 A254652

Adjacent sequences: A122206 A122207 A122208 * A122210 A122211 A122212

Keyword

nonn

Author

Alexander Adamchuk, Aug 25 2006

Status

approved