A023345 Primes that remain prime through 5 iterations of function f(x) = 6x + 5.

13, 4637, 5849, 5923, 16183, 16979, 34919, 36277, 67003, 79337, 115571, 159739, 175141, 245753, 249133, 305717, 341569, 359353, 383833, 437263, 455317, 498497, 511519, 567121, 579961, 581699, 633797, 683831, 693431, 849197, 972197, 1022449

Offset

1,1

Comments

Primes p such that 6*p+5, 36*p+35, 216*p+215, 1296*p+1295 and 7776*p+7775 are also primes. - Vincenzo Librandi, Aug 05 2010

Links

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

Mathematica

Select[Range[1100000], And@@PrimeQ[NestList[6#+5&, #, 5]]&] (* Harvey P. Dale, Mar 31 2012 *)

Prog

(Magma) [n: n in [1..10000000] | IsPrime(n) and IsPrime(6*n+5) and IsPrime(36*n+35) and IsPrime(216*n+215) and IsPrime(1296*n+1295) and IsPrime(7776*n+7775)] // Vincenzo Librandi, Aug 05 2010

Crossrefs

Subsequence of A023221, A023257, A023288, A023317, and A059325.

Sequence in context: A362659 A057842 A203676 * A249941 A006541 A189647

Adjacent sequences: A023342 A023343 A023344 * A023346 A023347 A023348

Keyword

nonn

Author

David W. Wilson

Status

approved