A124154 Numbers n such that 1 + n + n^3 + n^5 is prime.

2, 4, 8, 20, 22, 32, 36, 50, 54, 62, 64, 72, 78, 84, 86, 90, 92, 94, 96, 98, 112, 124, 134, 144, 146, 216, 224, 238, 240, 246, 250, 256, 262, 276, 294, 296, 298, 300, 314, 334, 370, 378, 382, 392, 400, 402, 406, 420, 430, 450, 472, 480, 482, 494, 510, 512, 526

Offset

1,1

Comments

All numbers n have to be even, because sum of 3 odd + 1 is even and can't be prime >3.

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Mathematica

Do[If[PrimeQ[1 + n + n^3 + n^5], Print[n]], {n, 1, 300}]
Select[Range[1000], PrimeQ[Total[#^Range[1, 5, 2]] + 1] &] (* Vincenzo Librandi, Jun 27 2014 *)

Prog

(PARI) forstep(n=2, 1000, 2, if(isprime(1 + n + n^3 + n^5), print1(n", "))) \\ Franklin T. Adams-Watters, Apr 09 2009
(Magma) [n: n in [0..600] | IsPrime(s) where s is 1+&+[n^i: i in [1..5 by 2]]]; // Vincenzo Librandi, Jun 27 2014

Crossrefs

Cf. A049407, similar sequences listed in A244376.

Sequence in context: A326997 A014225 A217520 * A296606 A222562 A252891

Adjacent sequences: A124151 A124152 A124153 * A124155 A124156 A124157

Keyword

nonn,easy

Author

Artur Jasinski, Dec 13 2006

Extensions

More terms from Franklin T. Adams-Watters, Apr 09 2009

Status

approved