A102166 Numbers n such that 2*n^2 + 11*n + 101 is prime.

0, 2, 6, 8, 12, 14, 18, 36, 38, 42, 44, 48, 50, 66, 72, 74, 78, 80, 84, 90, 92, 102, 104, 116, 140, 150, 152, 158, 162, 164, 170, 182, 186, 192, 198, 200, 204, 216, 218, 222, 236, 242, 254, 258, 266, 282, 290, 294, 302, 312, 318, 332, 336, 338, 342, 354, 356, 366

Offset

1,2

Comments

2 is the smallest one digit prime, 11 is the smallest two digit prime and 101 is the smallest three digit prime.

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Example

For n=0, 2*n^2 + 11*n + 101 = 2*0^2 + 11*0 + 101 = 101 (prime)
for n=48, 2*n^2 + 11*n + 101 = 2*48^2 + 11*48 + 101 = 5237 (prime)
for n=92, 2*n^2 + 11*n + 101 = 2*92^2 + 11*92 + 101 = 18041 (prime)

Mathematica

Select[Range[0, 400], PrimeQ[2#^2+11#+101]&] (* Harvey P. Dale, Aug 16 2020 *)

Prog

(Magma) [n: n in [0..1000] | IsPrime(2*n^2 + 11*n + 101)] // Vincenzo Librandi, Nov 18 2010
(PARI) is(n)=isprime(2*n^2+11*n+101) \\ Charles R Greathouse IV, Jun 13 2017

Crossrefs

Sequence in context: A111367 A105059 A108187 * A024894 A153880 A120227

Adjacent sequences: A102163 A102164 A102165 * A102167 A102168 A102169

Keyword

nonn,easy

Author

Parthasarathy Nambi, Feb 15 2005

Status

approved