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A023351 Primes that remain prime through 5 iterations of function f(x) = 8x + 9. 1

%I #18 Sep 08 2022 08:44:47

%S 294793,2586943,5360623,6351613,7965743,11141083,11378453,13458923,

%T 14884823,15585523,18691633,25387763,29964293,30766283,32388253,

%U 38647723,40653433,48716873,48786593,52628473,54270533,55507853,56575633,59103403

%N Primes that remain prime through 5 iterations of function f(x) = 8x + 9.

%C Primes p such that 8*p+9, 64*p+81, 512*p+657, 4096*p+5265 and 32768*p+42129 are also primes. - _Vincenzo Librandi_, Aug 05 2010

%H John Cerkan, <a href="/A023351/b023351.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) == 23 (mod 70). - _John Cerkan_, Nov 13 2016

%o (Magma) [n: n in [1..19000000] | IsPrime(n) and IsPrime(8*n+9) and IsPrime(64*n+81) and IsPrime(512*n+657) and IsPrime(4096*n+5265) and IsPrime(32768*n+42129)] // _Vincenzo Librandi_, Aug 05 2010

%Y Subsequence of A023232, A023264, A023295, A023323, and of A153762.

%K nonn

%O 1,1

%A _David W. Wilson_

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Last modified April 16 16:35 EDT 2024. Contains 371749 sequences. (Running on oeis4.)