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A023324 Primes that remain prime through 4 iterations of function f(x) = 9x + 2. 3

%I #22 Sep 08 2022 08:44:47

%S 103,283,313,929,2549,2593,3931,4091,5279,6781,7759,8363,16229,16493,

%T 16703,19961,24071,25733,27059,32191,34961,35381,36341,44131,50093,

%U 52973,59671,66179,69833,69931,75853,90031,92993,93371,101879,103561,106949

%N Primes that remain prime through 4 iterations of function f(x) = 9x + 2.

%C Primes p such that 9*p+2, 81*p+20, 729*p+182 and 6561*p+1640 are also primes. - _Vincenzo Librandi_, Aug 04 2010

%H Harvey P. Dale, <a href="/A023324/b023324.txt">Table of n, a(n) for n = 1..1000</a>

%t Select[Prime[Range[11000]],AllTrue[Rest[NestList[9#+2&,#,4]],PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* _Harvey P. Dale_, Feb 12 2015 *)

%o (Magma) [n: n in [1..5000000] | IsPrime(n) and IsPrime(9*n+2) and IsPrime(81*n+20) and IsPrime(729*n+182) and IsPrime(6561*n+1640)] // _Vincenzo Librandi_, Aug 04 2010

%K nonn

%O 1,1

%A _David W. Wilson_

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Last modified April 28 02:08 EDT 2024. Contains 372020 sequences. (Running on oeis4.)