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 A382389 #6 Mar 27 2025 10:13:52
%S A382389 7673,9001,12491,17749,31481,75041,93887,95881,102061,104479,112621,
%T A382389 113557,118429,139999,722713,743891,749927,999133,1001941,1086353,
%U A382389 1115071,1165511,1233907,1861913,1861973,1881697,1927903,1972259
%N A382389 Numbers k such that k, prime(k) and primepi(reverse(prime(k))) are emirps (A006567).
%e A382389 Take for example the two emirps 133963 and 369331. Their indices (in A000040) are 12491 and 31481, which are also emirps. So, those indices are terms of the present sequence.
%t A382389 emirpQ[n_]:=AllTrue[{n,IntegerReverse[n]},PrimeQ]&&!PalindromeQ[n];
%t A382389 Select[Prime[Range[10000]],AllTrue[{#,Prime[#],PrimePi[IntegerReverse[Prime[#]]]},emirpQ]&]
%Y A382389 Cf. A006567 (supersequence).
%K A382389 nonn,base
%O A382389 1,1
%A A382389 _Ivan N. Ianakiev_, Mar 23 2025