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Primes that remain prime through 4 iterations of function f(x) = 8x + 5.
2

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

%S 8431,9721,24169,35311,63577,74203,109471,109891,140269,174613,176599,

%T 182857,210187,241561,270553,274837,274909,276517,281557,324763,

%U 326737,383659,464089,474127,489109,498403,540781,563587,576943,582949,633253

%N Primes that remain prime through 4 iterations of function f(x) = 8x + 5.

%C Primes p such that 8*p+5, 64*p+45, 512*p+365 and 4096*p+2925 are also primes. - _Vincenzo Librandi_, Aug 04 2010

%H John Cerkan, <a href="/A023321/b023321.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) == 19 or 31 (mod 42). - _John Cerkan_, Oct 08 2016

%o (Magma) [n: n in [1..5000000] | IsPrime(n) and IsPrime(8*n+5) and IsPrime(64*n+45) and IsPrime(512*n+365) and IsPrime(4096*n+2925)] // _Vincenzo Librandi_, Aug 04 2010

%Y Subsequence of A023230, A023262, A023293, and A105133.

%K nonn

%O 1,1

%A _David W. Wilson_