A154733 Integers of the form k = m^3+m^2 such that k-+1 are primes.

12, 150, 810, 1452, 1872, 18252, 87120, 106032, 242172, 333270, 362952, 712890, 1968750, 2763600, 3198132, 5767380, 10551420, 16451580, 18469440, 23230350, 25498620, 30468672, 31955502, 34752252, 39768102, 40825920, 56770560

Offset

1,1

Links

Table of n, a(n) for n=1..27.

Formula

A011379 INTERSECT A014574. - R. J. Mathar, Jul 16 2022

a(n) = A011379(A154732(n)). - R. J. Mathar, Jul 16 2022

Example

2^3+2^2 = 12, and 12-+1 are primes, so 12 is a term.

Mathematica

lst={}; Do[k=n^3+n^2; If[PrimeQ[k-1]&&PrimeQ[k+1], AppendTo[lst, k]], {n, 8!}]; lst

Crossrefs

Cf. A111503, A154731, A154732

Sequence in context: A114106 A015610 A141326 * A305544 A056351 A056345

Adjacent sequences: A154730 A154731 A154732 * A154734 A154735 A154736

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Jan 14 2009

Status

approved