A111068 Numbers k such that 3*k^2 + 16 is prime.

1, 3, 7, 11, 13, 15, 17, 27, 29, 35, 41, 43, 45, 49, 53, 55, 59, 63, 71, 81, 91, 95, 105, 111, 119, 123, 129, 141, 143, 155, 171, 181, 183, 197, 199, 207, 209, 217, 221, 237, 241, 249, 251, 253, 263, 277, 283, 297, 309, 315, 323, 325, 337, 349, 357, 363, 365, 371

Offset

1,2

Links

Daniel Starodubtsev, Table of n, a(n) for n = 1..10000

Example

If k=95 then 3*k^2 + 16 = 27091 (prime).

Maple

A111068:=n->`if`(isprime(3*n^2+16), n, NULL): seq(A111068(n), n=1..800); # Wesley Ivan Hurt, Jan 13 2017

Mathematica

Select[Range[0, 400], PrimeQ[3*#^2 + 16] &] (* Stefan Steinerberger, Mar 03 2006 *)

Prog

(PARI) is(n)=isprime(3*n^2+16) \\ Charles R Greathouse IV, May 22 2017

Crossrefs

Cf. A111069.

Sequence in context: A062823 A031466 A045062 * A322430 A337705 A102213

Adjacent sequences: A111065 A111066 A111067 * A111069 A111070 A111071

Keyword

nonn

Author

Parthasarathy Nambi, Oct 08 2005

Extensions

More terms from Stefan Steinerberger, Mar 03 2006

Status

approved