A087090 Positive numbers n such that p=n^2+n+41 and p+2 are twin primes.

0, 5, 12, 15, 17, 20, 24, 35, 45, 50, 59, 75, 90, 92, 105, 110, 119, 120, 132, 134, 167, 174, 182, 222, 225, 230, 264, 269, 285, 320, 335, 339, 362, 365, 372, 390, 419, 434, 437, 455, 462, 470, 479, 495, 539, 540, 549, 572, 594, 705, 710, 714, 759, 785, 789

Offset

1,2

Links

Pierre CAMI and Charles R Greathouse IV, Table of n, a(n) for n = 1..10000 (first 2028 terms from Cami)

Example

5 is in the sequence because 71 and 73 are twin primes.

Mathematica

Select[Range[0, 800], AllTrue[#^2 +#+{41, 43}, PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, May 20 2016 *)

Prog

(PARI) isok(n) = isprime(n^2+n+41) && isprime(n^2+n+43); \\ Michel Marcus, Oct 03 2013

Crossrefs

Cf. A007634, A087091.

Sequence in context: A009824 A286276 A314273 * A161756 A314274 A184399

Adjacent sequences: A087087 A087088 A087089 * A087091 A087092 A087093

Keyword

nonn

Author

Zak Seidov, Aug 08 2003

Status

approved