cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A023293 Primes that remain prime through 3 iterations of function f(x) = 8x + 5.

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%I A023293 #24 Aug 28 2024 14:45:01
%S A023293 43,103,199,1039,1303,2311,2857,3673,4513,4663,5743,5953,8431,9721,
%T A023293 12391,14143,14533,17599,18457,19507,21211,23719,24169,25621,28663,
%U A023293 29023,31963,33409,35311,36979,37423,40867,40939,43891,44371,44983,45841,46747,46807
%N A023293 Primes that remain prime through 3 iterations of function f(x) = 8x + 5.
%C A023293 Primes p such that 8*p+5, 64*p+45 and 512*p+365 are also primes. - _Vincenzo Librandi_, Aug 04 2010
%H A023293 John Cerkan, <a href="/A023293/b023293.txt">Table of n, a(n) for n = 1..10000</a>
%F A023293 a(n) == 1 (mod 6). - _John Cerkan_, Sep 23 2016
%t A023293 Select[Prime[Range[5000]],AllTrue[Rest[NestList[8#+5&,#,3]],PrimeQ]&] (* _Harvey P. Dale_, Sep 19 2022 *)
%o A023293 (Magma) [n: n in [1..450000] | IsPrime(n) and IsPrime(8*n+5) and IsPrime(64*n+45) and IsPrime(512*n+365)]; // _Vincenzo Librandi_, Aug 04 2010
%Y A023293 Subsequence of A023230, A023262, and A105133.
%K A023293 nonn
%O A023293 1,1
%A A023293 _David W. Wilson_