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 A133972 #11 Mar 23 2021 15:41:54 %S A133972 178069,229751,313613,313739,317741,317903,337457,337853,352489, %T A133972 374587,375743,375997,379103,379187,379397,379997,389971,719239, %U A133972 733391,742283,1128901,1143113,1148593,1392143,1911319,2231051,2331997,2333329 %N A133972 Home primes whose homeliness is 9. %C A133972 Number of terms < 10^n: 0, 0, 0, 0, 0, 20, 146, ... . %t A133972 lst = {}; f[n_] := FromDigits@ Flatten[ IntegerDigits@ Table[ #[[1]], {#[[2]]}] & /@ FactorInteger@n, 2]; h[n_] := NestWhileList[f@# &, n, !PrimeQ@# &, 1, 28]; Do[p = h[n][[ -1]]; If[ PrimeQ@p && p < 10^7 && p != n, Print[{n, p}]; AppendTo[lst, p]], {n, 2, 1000}]; %t A133972 d = 9 - 2; lsu = {}; Do[ If[ lst[[n]] == lst[[n + d]] && lst[[n - 1]] != lst[[n]] && lst[[n]] != lst[[n + d + 1]], AppendTo[lsu, lst[[n]]]], {n, 188004 - d - 1}]; Take[Union@ lsu, 35] %Y A133972 Cf. A037274, A118756, A133971, A133956, A133957, A133958, A133960, A133962, A133964, A133966, A133968, A133970, A133974, A133976, A133978. %K A133972 nonn,base %O A133972 1,1 %A A133972 _Robert G. Wilson v_, Sep 30 2007