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 A235467 #13 Jan 17 2022 00:33:24
%S A235467 2,89,137,149,281,293,353,389,409,421,593,613,661,1097,1109,1289,1301,
%T A235467 1321,1381,1409,1601,1609,1669,2069,2129,2309,2377,2389,2729,4133,
%U A235467 4229,4373,4441,4513,4673,5153
%N A235467 Primes whose base-4 representation also is the base-3 representation of a prime.
%C A235467 This sequence is part of the two-dimensional array of sequences based on this same idea for any two different bases b, c > 1. Sequence A235265 and A235266 are the most elementary ones in this list. Sequences A089971, A089981 and A090707 through A090721, and sequences A065720 - A065727, follow the same idea with one base equal to 10.
%C A235467 For further motivation and cross-references, see sequence A235265 which is the main entry for this whole family of sequences.
%C A235467 This is a subsequence of A002144, A002313, A003655, A050150, A062090, A141293, A175768, A192592, A226181 (conjectural).
%H A235467 Harvey P. Dale, <a href="/A235467/b235467.txt">Table of n, a(n) for n = 1..1000</a>
%H A235467 M. F. Hasler, <a href="https://docs.google.com/document/d/10IM7fcAbB2tqRGuwfGvuEGUzD_IXbgXPDK0tfxN4M3o/pub">Primes whose base c expansion is also the base b expansion of a prime</a>
%e A235467 E.g., 89 = 1121_4 and 1121_3 = 43 both are prime.
%t A235467 b4b3Q[n_]:=Module[{b4=IntegerDigits[n,4]},Max[b4]<3&&PrimeQ[ FromDigits[ b4,3]]]; Select[Prime[Range[700]],b4b3Q] (* _Harvey P. Dale_, Dec 14 2021 *)
%o A235467 (PARI) is(p,b=3,c=4)=vecmax(d=digits(p,c))<b&&isprime(vector(#d,i,b^(#d-i))*d~)&&isprime(p)
%o A235467 (PARI) forprime(p=1,1e3,is(p,4,3)&&print1(vector(#d=digits(p,3),i,4^(#d-i))*d~,",")) \\ To produce the terms, this is more efficient than to select them using straightforwardly is(.)=is(.,3,4)
%Y A235467 Cf. A065720 ⊂ A036952, A065721 - A065727, A235394, A235395, A089971 ⊂ A020449, A089981, A090707 - A091924, A235461 - A235482. See the LINK for further cross-references.
%K A235467 nonn,base
%O A235467 1,1
%A A235467 _M. F. Hasler_, Jan 12 2014