A023352 Primes that remain prime through 5 iterations of function f(x) = 9x + 2.

103, 283, 929, 3931, 7759, 52973, 75853, 90031, 93371, 103561, 106949, 110821, 128111, 130841, 137273, 163861, 198553, 288023, 342389, 357031, 377231, 425681, 429973, 435181, 450311, 490663, 526159, 532199, 552791, 574801, 585733, 599719

Offset: 1

Author

David W. Wilson

Keywords

• nonn

Comments

Primes p such that 9*p+2, 81*p+20, 729*p+182, 6561*p+1640 and 59049*p+14762 are also primes. - Vincenzo Librandi, Aug 05 2010

Links

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

Crossrefs

Subsequence of A023233, A023265, A023296, and A023324.

Programs

Magma

[n: n in [1..19000000] | IsPrime(n) and IsPrime(9*n+2) and IsPrime(81*n+20) and IsPrime(729*n+182) and IsPrime(6561*n+1640) and IsPrime(59049*n+14762)] // Vincenzo Librandi, Aug 05 2010

Mathematica

Select[Prime[Range[50000]],AllTrue[Rest[NestList[9#+2&,#,5]],PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Feb 24 2017 *)