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
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
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Magma
[n: n in [0..1000]| IsPrime(n^3+3)] // Vincenzo Librandi, Nov 16 2010
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Mathematica
Select[Range[0,700],PrimeQ[#^3+3]&] (* Harvey P. Dale, Jan 22 2020 *)
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PARI
is(n)=isprime(n^3+3) \\ Charles R Greathouse IV, Feb 17 2017
Extensions
More terms from Vincenzo Librandi, Mar 31 2010