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 A121409 #12 Oct 18 2024 21:48:59 %S A121409 2,3,17,19,89,317,563,1091,2099,3181,5023,44221,53899,410747,410801, %T A121409 448373,451181,481133,519151,617657,738523,882979,992087,1611433, %U A121409 2167421,2688299,2723627,2811089,3331033,3411043,3499411,3983911,3988889,6233933 %N A121409 Prime numbers p such that p and prime(p) have no common decimal digit and prime(p) and prime(prime(p)) have no common decimal digit. %C A121409 Subsequence of A119405. Positions of a(n) in A119405: A121410. %e A121409 992087 is a term because p(992087)=15353531, p(15353531)=282479297, and 992087 and 15353531 have no common decimal digit, nor do 15353531 and 282479297. %t A121409 Select[Prime[Range[10^6]],ContainsNone[IntegerDigits[#],IntegerDigits[Prime[#]]]&&ContainsNone[IntegerDigits[Prime[#]],IntegerDigits[Prime[Prime[#]]]]&] (* _James C. McMahon_, Oct 18 2024 *) %Y A121409 Cf. A119405, A121410. %K A121409 base,nonn,less %O A121409 1,1 %A A121409 _Zak Seidov_, Jul 28 2006