A123076 Numbers k such that p = 1 + 2k + 3k^2 + 4k^3 is prime.

4, 12, 14, 18, 22, 24, 28, 34, 52, 62, 64, 78, 94, 104, 110, 118, 122, 132, 140, 144, 154, 158, 160, 178, 194, 204, 214, 218, 220, 234, 258, 262, 270, 272, 290, 294, 312, 314, 322, 344, 368, 370, 372, 382, 388, 424, 430, 440, 442, 454, 482, 494, 498, 518, 542

Offset: 1

Author

Zak Seidov, Sep 27 2006

Keywords

• easy
• nonn

Comments

Corresponding p's are in A123059.

Examples

			For k=4, 1 + 2k + 3k^2 + 4k^3 = 313 which is prime.
		

Links

• James C. McMahon, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A056578, A123059.

Programs

Mathematica

Select[Range[542],PrimeQ[1+2#+3#^2+4#^3]&] (* James C. McMahon, Nov 15 2024 *)

PARI

lista(m) = {for (n=1, m, if (isprime(1 + 2*n + 3*n^2 + 4*n^3), print1(n, ", ")););} \\ Michel Marcus, Apr 19 2013