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A023352
Primes that remain prime through 5 iterations of function f(x) = 9x + 2.
1
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
1,1
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
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 *)
PROG
(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
CROSSREFS
Subsequence of A023233, A023265, A023296, and A023324.
Sequence in context: A023327 A023324 A034846 * A142476 A136067 A125038
KEYWORD
nonn
STATUS
approved