A023280 Primes that remain prime through 3 iterations of function f(x) = 3x + 10.

3, 19, 47, 149, 199, 233, 353, 563, 607, 709, 919, 1013, 1361, 1367, 1697, 1801, 1871, 2137, 2203, 2819, 2879, 2917, 3041, 3229, 3449, 3701, 3943, 4093, 4111, 4177, 4567, 4973, 5519, 5689, 5987, 6053, 6359, 6421, 6841, 7019, 7283, 8647, 8951, 9109, 9719

Offset

1,1

Comments

Primes p such that 3*p+10, 9*p+40 and 27*p+130 are also primes. - Vincenzo Librandi, Aug 04 2010

Links

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

Mathematica

Select[Prime[Range[1200]], AllTrue[Rest[NestList[3#+10&, #, 3]], PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Mar 22 2015 *)

Prog

(Magma) [n: n in [1..150000] | IsPrime(n) and IsPrime(3*n+10) and IsPrime(9*n+40) and IsPrime(27*n+130)] // Vincenzo Librandi, Aug 04 2010

Crossrefs

Sequence in context: A201875 A063553 A099007 * A054697 A214883 A363697

Adjacent sequences: A023277 A023278 A023279 * A023281 A023282 A023283

Keyword

nonn

Author

David W. Wilson

Status

approved