A162904 Primes 2 less than a tetrahedral number.

2, 163, 967, 4493, 9137, 32507, 39709, 47903, 67523, 176849, 221813, 708559, 1543463, 1726667, 2481113, 2997409, 3428423, 3737579, 4410547, 4775383, 5774273, 6209893, 6903563, 9001627, 9585343, 10507397, 11153833, 15596033

Offset

1,1

Comments

Primes of the form A000292(k)-2.

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Example

2 = 4-2 = A000292(2)-2. 163 = 165-2 = A000292(9)-2. 967 = 969-2 = A000292(17)-2.

Maple

select(isprime, [seq(n*(n+1)*(n+2)/6-2, n=1..10^3)]); # Robert Israel, Jun 27 2019

Mathematica

s1=s2=0; lst={}; Do[s2+=s1+=n; If[PrimeQ[s2-2], AppendTo[lst, s2-2]], {n, 2*6!}]; lst
Select[Table[(n(n+1)(n+2))/6-2, {n, 500}], PrimeQ] (* Harvey P. Dale, Jul 29 2023 *)

Crossrefs

Cf. A000292.

Sequence in context: A202107 A300363 A109420 * A346720 A259319 A230912

Adjacent sequences: A162901 A162902 A162903 * A162905 A162906 A162907

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Jul 16 2009

Extensions

Definition rephrased by R. J. Mathar, Jul 27 2009

Status

approved