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A023314 Primes that remain prime through 4 iterations of function f(x) = 5x + 4. 2

%I #19 Sep 08 2022 08:44:47

%S 263,1217,2141,4673,5333,6983,10973,11423,26669,27143,28697,74843,

%T 85061,101063,102647,114113,121001,133349,141623,150497,154823,199877,

%U 200183,202409,203039,207953,259697,259781,275813,280487,294167,305477,322727

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

%C Primes p such that 5*p+4, 25*p+24, 125*p+124 and 625*p+624 are also primes. - _Vincenzo Librandi_, Aug 04 2010

%H John Cerkan, <a href="/A023314/b023314.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) == 11 or 41 (mod 42). - _John Cerkan_, Oct 07 2016

%o (Magma) [n: n in [1..1000000] | IsPrime(n) and IsPrime(5*n+4) and IsPrime(25*n+24) and IsPrime(125*n+124) and IsPrime(625*n+624)] // _Vincenzo Librandi_, Aug 04 2010

%Y Subsequence of A023218, A023253, A023284, and A024897.

%K nonn

%O 1,1

%A _David W. Wilson_

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Last modified April 23 14:49 EDT 2024. Contains 371914 sequences. (Running on oeis4.)