A084382 -id:A084382 - cp's OEIS frontend

A201308 Primes of the form k^3 + 6.

7, 131, 349, 2203, 4919, 68927, 389023, 456539, 1030307, 1092733, 2352643, 2924213, 3048631, 4173287, 5177723, 5929747, 6539209, 15813257, 19902517, 22665193, 25153763, 30664303, 34328131, 59776477, 61629881, 76765631, 97972187, 122763479, 127263533, 133432837

Offset: 1

Vincenzo Librandi, Nov 30 2011

Vincenzo Librandi, Table of n, a(n) for n = 1..2000

Cf. A073574, A084382.

[a: n in [0..800] | IsPrime(a) where a is n^3+6];

Mathematica
```
Select[Range[0, 7000]^3 + 6, PrimeQ]
```

a(n) = A084382(A073574(n)). - Elmo R. Oliveira, Apr 20 2025

A274077 a(n) = n^3 + 4.

Original entry on oeis.org

4, 5, 12, 31, 68, 129, 220, 347, 516, 733, 1004, 1335, 1732, 2201, 2748, 3379, 4100, 4917, 5836, 6863, 8004, 9265, 10652, 12171, 13828, 15629, 17580, 19687, 21956, 24393, 27004, 29795, 32772, 35941, 39308, 42879, 46660, 50657, 54876, 59323, 64004, 68925

Offset: 0

Vincenzo Librandi, Jun 09 2016

Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

Sequences of the type n^3+k: A000578 (k=0), A001093 (k=1), A084380 (k=2), A084378 (k=3), this sequence (k=4), A084381 (k=5), A084382 (k=6), A084377 (k=7).

Magma
```
[n^3+4: n in [0..50]];
```

seq(n^3+4, n=0..100); # Robert Israel, Jun 09 2016

Table[n^3 + 4, {n, 0, 60}]
Range[0,50]^3+4 (* or *) LinearRecurrence[{4,-6,4,-1},{4,5,12,31},50] (* Harvey P. Dale, Jul 01 2017 *)

a(n) = n^3 + 4 \\ Felix Fröhlich, Jun 09 2016

O.g.f.: (4 - 11*x + 16*x^2 - 3*x^3)/(1 - x)^4.
E.g.f.: (x^3 + 3*x^2 + x + 4)*exp(x). - Robert Israel, Jun 09 2016
a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4).

cp's OEIS Frontend

A201308 Primes of the form k^3 + 6.

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