A122208 Numbers n such that the sum of the first n^2 primes A109724(n) = A007504(n^2) is a prime.

1, 2, 8, 10, 22, 26, 28, 32, 36, 78, 88, 110, 150, 152, 154, 232, 252, 258, 264, 316, 320, 324, 368, 376, 426, 496, 516, 532, 608, 644, 666, 686, 764, 828, 832, 880, 932, 958, 1020, 1090, 1096, 1106, 1122, 1156, 1174, 1206, 1264, 1280, 1282, 1290, 1296, 1326

Offset: 1

Author

Alexander Adamchuk, Aug 25 2006

Keywords

• nonn

Comments

Corresponding primes that are equal to the sum of the first a(n)^2 primes are listed in A122207(n) = {2, 17, 8893, 24133, 768373, 1583293, 2180741, 3875933, 6426919, 173472547, 289093219, 741938801, 2738357903, 2895147163, 3058653607, ...}. - Robert G. Wilson v, Sep 29 2006

Links

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

Crossrefs

Cf. A122207, A109724, A007504.

Programs

Mathematica

s = 0; t = {}; Do[s = s + Sum[Prime@k, {k, (n - 1)^2 + 1, n^2}]; If[PrimeQ@s, AppendTo[t, n]], {n, 1341}]; t (* Robert G. Wilson v *)

Formula

A122207(n) = A109724( a(n) ) = A007504( a(n)^2 ). - Robert G. Wilson v, Sep 29 2006

Extensions

More terms from Robert G. Wilson v, Sep 29 2006