A114271 Numbers k such that k^2 + 8 is prime.

3, 9, 15, 21, 33, 51, 57, 81, 87, 111, 117, 123, 129, 135, 141, 147, 153, 177, 189, 213, 219, 255, 279, 285, 315, 321, 327, 345, 351, 363, 399, 417, 465, 471, 477, 483, 495, 549, 579, 585, 627, 657, 663, 669, 723, 735, 741, 747, 759, 771, 783, 789, 807, 825

Offset

1,1

Links

G. C. Greubel, Table of n, a(n) for n = 1..1000

Mathematica

a={}; Do[If[PrimeQ[n^2+8], AppendTo[a, n]], {n, 0, 10^3}]; a (* Vladimir Joseph Stephan Orlovsky, Apr 29 2008 *)
Select[Range[1, 901, 2], PrimeQ[#^2+8]&] (* Harvey P. Dale, Aug 27 2023 *)

Prog

(PARI) is(n)=isprime(n^2+8) \\ Charles R Greathouse IV, Jan 21 2015

Crossrefs

Other sequences of the type "Numbers k such that k^2 + i is prime": A005574 (i=1), A067201 (i=2), A049422 (i=3), A007591 (i=4), A078402 (i=5), A114269 (i=6), A114270 (i=7), this sequence (i=8), A114272 (i=9), A114273 (i=10), A114274 (i=11), A114275 (i=12).

Sequence in context: A067201 A071526 A276967 * A137164 A108701 A064539

Adjacent sequences: A114268 A114269 A114270 * A114272 A114273 A114274

Keyword

nonn

Author

Zak Seidov, Nov 19 2005

Status

approved