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A023334 Primes that remain prime through 5 iterations of function f(x) = 2x + 9. 1

%I #20 Sep 08 2022 08:44:47

%S 11,4931,21991,23021,37691,44531,46021,57601,62081,95621,124171,

%T 135731,142111,189271,191251,195511,216571,222841,238291,251611,

%U 269431,319211,368021,391031,413411,427711,468581,476591,625831,638431,682951,701671

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

%C Primes p such that 2*p+9, 4*p+27, 8*p+63, 16*p+135 and 32*p+279 are also primes. - _Vincenzo Librandi_, Aug 04 2010

%H Harvey P. Dale, <a href="/A023334/b023334.txt">Table of n, a(n) for n = 1..500</a>

%t it5Q[n_]:=AllTrue[Rest[NestList[2#+9&,n,5]],PrimeQ]; Select[Prime[ Range[ 60000]],it5Q] (* The program uses the AllTrue function from Mathematica version 10 *) (* _Harvey P. Dale_, Dec 01 2015 *)

%o (Magma) [n: n in [1..5000000] | IsPrime(n) and IsPrime(2*n+9) and IsPrime(4*n+27) and IsPrime(8*n+63) and IsPrime(16*n+135) and IsPrime(32*n+279)] // _Vincenzo Librandi_, Aug 04 2010

%K nonn

%O 1,1

%A _David W. Wilson_

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Last modified April 19 15:34 EDT 2024. Contains 371794 sequences. (Running on oeis4.)