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.
%I A225584 #22 Dec 20 2024 17:44:39
%S A225584 23,101,829,6653,13309,6815741,436207613,13958643709,27917287421,
%T A225584 468374361246531581,3746994889972252669,959230691832896684029,
%U A225584 16093220510709943573688614909
%N A225584 Primes in the chain of repeated application of x->2*x+3, starting at x=23.
%C A225584 Primes in A156202.
%H A225584 Vincenzo Librandi, <a href="/A225584/b225584.txt">Table of n, a(n) for n = 1..31</a>
%t A225584 Select[NestList[2 # + 3 &, 23, 30], PrimeQ] (* or *) Select[Table[13 2^(n+1) - 3, {n, 0, 150}], PrimeQ]
%o A225584 (Magma) x:=23; a:=[n eq 1 select x else 2*Self(n-1)+3: n in [1..200]]; [a[i]: i in [1..#a] | IsPrime(a[i])];
%o A225584 (Magma) [a: n in [0..150] | IsPrime(a) where a is 13*2^n-3];
%Y A225584 Primes of the form k*2^m-3: A050415 (k=1), A173769 (k=5), A225582 (k=7), A225583 (k=11), this sequence (k=13); A172156 (k=100), A163589 (k=715).
%Y A225584 Numbers of the form 13*2^m-3: A156202.
%K A225584 nonn,easy
%O A225584 1,1
%A A225584 _Vincenzo Librandi_, May 14 2013