A236764 Numbers k such that k^3 +/- k +/- 1 are prime for all four possibilities.

15, 21, 15375, 25164, 53361, 95190, 110685, 115140, 133701, 139425, 140430, 140844, 189336, 217686, 220650, 266916, 272469, 289341, 344880, 364665, 377805, 382221, 390270, 415779, 454905, 539700, 561186, 567645, 575799, 584430, 603651, 722484

Offset

1,1

Links

Daniel Starodubtsev, Table of n, a(n) for n = 1..10000

Example

110685^3+110685+1 (1356020665779811), 110685^3+110685-1 (1356020665779809), 110685^3-110685+1 (1356020665558441) and 110685^3-110685-1 (1356020665558439) are all prime. Thus 110685 is a member of this sequence.

Prog

(Python)
import sympy
from sympy import isprime
{print(n) for n in range(10**6) if isprime(n**3+n+1) and isprime(n**3-n+1) and isprime(n**3+n-1) and isprime(n**3-n-1)}
(PARI) for(n=1, 800000, if(isprime(n^3+n+1)&&isprime(n^3-n+1)&&isprime(n^3+n-1)&&isprime(n^3-n-1), print1(n, ", "))) \\ Colin Barker, Jan 31 2014

Crossrefs

Intersection of A126421, A236477, A049407, and A236475.

Sequence in context: A219214 A205597 A307792 * A300958 A066758 A338119

Adjacent sequences: A236761 A236762 A236763 * A236765 A236766 A236767

Keyword

nonn

Author

Derek Orr, Jan 30 2014

Status

approved