A049441 Numbers n such that n^3 + 3 is prime.

0, 2, 4, 16, 22, 26, 32, 50, 52, 62, 64, 74, 76, 86, 94, 100, 104, 106, 124, 140, 142, 164, 166, 176, 182, 184, 190, 202, 212, 224, 236, 280, 284, 286, 290, 302, 370, 374, 394, 410, 430, 434, 454, 466, 470, 472, 496, 500, 502, 542, 584, 602, 604, 610, 614, 616

Offset: 1

Author

Paul Jobling (paul.jobling(AT)whitecross.com)

Keywords

• easy
• nonn

Examples

			4 is in the sequence since 4^3 + 3 = 67 is prime.
		

Links

• Zak Seidov, Table of n, a(n) for n = 1..2000

Programs

Magma

[n: n in [0..1000]| IsPrime(n^3+3)] // Vincenzo Librandi, Nov 16 2010

Mathematica

Select[Range[0,700],PrimeQ[#^3+3]&] (* Harvey P. Dale, Jan 22 2020 *)

PARI

is(n)=isprime(n^3+3) \\ Charles R Greathouse IV, Feb 17 2017

Extensions

More terms from Vincenzo Librandi, Mar 31 2010