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 A235624 #17 Jan 16 2022 23:22:03 %S A235624 2,3,5,13,17,37,61,73,109,157,173,181,229,233,241,257,317,337,349,373, %T A235624 397,409,541,557,569,601,613,661,761,769,797,821,857,953,1013,1021, %U A235624 1033,1069,1153,1181,1193,1201,1229,1237,1297,1321,1373,1429,1481,1609,1621,1637,1709,1801,1861,1877,1889,1901,1973 %N A235624 Primes whose base-4 representation is also the base-6 representation of a prime. %C A235624 This sequence is part of a two-dimensional array of sequences, given in the LINK, 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. %H A235624 Giovanni Resta, <a href="/A235624/b235624.txt">Table of n, a(n) for n = 1..10000</a> %H A235624 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 A235624 5 = 11_4 and 11_6 = 7 are both prime, so 5 is a term. %t A235624 Select[Prime@ Range@ 500, PrimeQ@ FromDigits[ IntegerDigits[#, 4], 6] &] (* _Giovanni Resta_, Sep 12 2019 *) %o A235624 (PARI) is(p,b=6,c=4)=isprime(vector(#d=digits(p,c),i,b^(#d-i))*d~)&&isprime(p) \\ Note: This code is only valid for b > c. %Y A235624 Cf. A235616, A235265, A235266, A152079, A235461 - A235482, A065720 - A065727, A235394, A235395, A089971 ⊂ A020449, A089981, A090707 - A091924, A235615 - A235639. See the LINK for further cross-references. %K A235624 nonn,base %O A235624 1,1 %A A235624 _M. F. Hasler_, Jan 13 2014