A023288 Primes that remain prime through 3 iterations of function f(x) = 6x + 5.

2, 11, 13, 31, 71, 83, 151, 163, 193, 197, 317, 347, 373, 503, 577, 811, 911, 919, 1049, 1051, 1201, 1423, 1721, 1907, 2089, 2243, 2543, 2719, 2963, 3529, 3583, 3607, 3797, 4091, 4153, 4217, 4243, 4409, 4591, 4637, 4783, 5209, 5557, 5783, 5849, 5923, 6091

Offset

1,1

Comments

Primes p such that 6*p+5, 36*p+35 and 216*p+215 are also primes. - Vincenzo Librandi, Aug 04 2010

Links

John Cerkan, Table of n, a(n) for n = 1..10000

Mathematica

Select[Prime[Range[800]], AllTrue[Rest[NestList[6#+5&, #, 3]], PrimeQ]&] (* Harvey P. Dale, Mar 22 2026 *)

Prog

(Magma) [n: n in [1..150000] | IsPrime(n) and IsPrime(6*n+5) and IsPrime(36*n+35) and IsPrime(216*n+215)]; // Vincenzo Librandi, Aug 04 2010

Crossrefs

Subsequence of A023221, A023257, and A059325.

Sequence in context: A105887 A019407 A075781 * A106960 A084405 A041447

Adjacent sequences: A023285 A023286 A023287 * A023289 A023290 A023291

Keyword

nonn

Author

David W. Wilson

Status

approved