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A023283 Primes that remain prime through 3 iterations of function f(x) = 5x + 2. 4

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

%S 19,373,607,1171,1381,1867,2137,2539,3181,4021,5689,5827,5857,6163,

%T 7213,7507,11497,12007,13291,13687,14173,15193,16453,21997,22501,

%U 24799,25657,28723,31393,31957,32587,35863,40813,42667,42859,43321,43951,45061,45691

%N Primes that remain prime through 3 iterations of function f(x) = 5x + 2.

%C Primes p such that 5*p+2, 25*p+12 and 125*p+62 are also primes. - _Vincenzo Librandi_, Aug 04 2010

%H John Cerkan, <a href="/A023283/b023283.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) == 1 (mod 6). - _John Cerkan_, Sep 20 2016

%t Select[Prime@ Range@ 4800, Times @@ Boole@ PrimeQ@ Rest@ NestList[5 # + 2 &, #, 3] > 0 &] (* _Michael De Vlieger_, Sep 20 2016 *)

%o (Magma) [n: n in [1..150000] | IsPrime(n) and IsPrime(5*n+2) and IsPrime(25*n+12) and IsPrime(125*n+62)] // _Vincenzo Librandi_, Aug 04 2010

%Y Subsequence of A023217, A023252, and of A111223.

%K nonn

%O 1,1

%A _David W. Wilson_

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Last modified September 15 08:02 EDT 2024. Contains 375932 sequences. (Running on oeis4.)