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A023345 Numbers n such that n remains prime through 5 iterations of function f(x) = 6x + 5. 1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

n, 6*n+5, 36*n+35, 216*n+215, 1296*n+1295 and 7776*n+7775 are 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: A174310 A057842 A203676 * A249941 A006541 A189647

Adjacent sequences:  A023342 A023343 A023344 * A023346 A023347 A023348

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved

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Last modified April 5 02:11 EDT 2020. Contains 333238 sequences. (Running on oeis4.)