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A023255 Primes that remain prime through 2 iterations of the function f(x) = 5x + 8. 4

%I #21 Sep 08 2022 08:44:47

%S 7,13,19,31,43,73,211,223,241,307,397,409,631,661,727,757,769,829,883,

%T 1123,1741,1783,1867,2131,2143,2269,2287,2467,2521,2551,2857,2917,

%U 3253,3319,3793,3967,4297,4423,4597,4957,5449,5563,5701,6229,6427,6469,6679

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

%C Primes p such that 5*p+8 and 25*p+48 are also primes. - _Vincenzo Librandi_, Aug 04 2010

%H John Cerkan, <a href="/A023255/b023255.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) == 1 (mod 6). - _John Cerkan_, Sep 14 2016

%t fQ[n_]:=And@@PrimeQ[NestList[5#+8&,n,2]]; Select[Range[7000],fQ] (* _Harvey P. Dale_, Mar 25 2013 *)

%o (Magma) [n: n in [0..100000] | IsPrime(n) and IsPrime(5*n+8) and IsPrime(25*n+48)] // _Vincenzo Librandi_, Aug 04 2010

%Y Subsequence of A023220, A111225.

%K nonn

%O 1,1

%A _David W. Wilson_

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Last modified April 23 03:30 EDT 2024. Contains 371906 sequences. (Running on oeis4.)