A132398 Numbers n such that 11*n^2 + 1 is prime.

6, 24, 30, 54, 66, 84, 90, 96, 126, 144, 150, 186, 210, 234, 246, 276, 300, 324, 330, 360, 420, 426, 444, 450, 474, 480, 486, 516, 606, 624, 636, 684, 720, 750, 786, 804, 816, 864, 876, 900, 906, 924, 966, 996, 1014, 1020, 1056, 1074, 1104, 1110, 1116, 1194

Offset

1,1

Comments

All terms are multiples of 6.

Links

Table of n, a(n) for n=1..52.

Example

If n=6 then 11*n^2 + 1 = 397 (prime).
If n=144 then 11*n^2 + 1 = 228097 (prime).

Mathematica

Select[Range[1300], PrimeQ[11*#^2 + 1] &] (* Stefan Steinerberger, Nov 13 2007 *)

Prog

(Magma) [ n: n in [0..1500] | IsPrime(11*n^2 + 1) ]; // Vincenzo Librandi, Jan 31 2011
(PARI) is(n)=isprime(11*n^2+1) \\ Charles R Greathouse IV, Jun 13 2017

Crossrefs

Cf. A111051, A132190.

Sequence in context: A334788 A332962 A350564 * A073120 A147778 A348714

Adjacent sequences: A132395 A132396 A132397 * A132399 A132400 A132401

Keyword

nonn,easy

Author

Parthasarathy Nambi, Nov 12 2007

Extensions

More terms from Stefan Steinerberger, Nov 13 2007

Status

approved