A178608 Primes of the form (2*k^3 + 3*k^2 + k - 12)/6.

3, 53, 89, 283, 383, 1013, 1783, 3793, 6199, 12527, 17573, 23819, 25583, 31393, 40423, 42923, 81373, 111893, 132347, 155153, 161237, 187163, 208333, 391403, 500363, 597859, 658873, 674749, 944369, 1113773, 1302313, 1538569, 2607097

Offset

1,1

Comments

Primes of the form A000330(k) - 2. - Michel Marcus, Jan 29 2019

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

Mathematica

s=0; lst={}; Do[s+=n^2; If[PrimeQ[p=s-2], AppendTo[lst, p]], {n, 1, 6!}]; lst
Select[Table[(2k^3+3k^2+k-12)/6, {k, 300}], PrimeQ] (* Harvey P. Dale, Sep 08 2025 *)

Crossrefs

Cf. A000330.

Sequence in context: A288867 A082484 A187805 * A106997 A141929 A216042

Adjacent sequences: A178605 A178606 A178607 * A178609 A178610 A178611

Keyword

nonn,easy

Author

Vladimir Joseph Stephan Orlovsky, May 30 2010

Status

approved