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 A133970 #11 Mar 23 2021 15:42:02 %S A133970 3761,13367,31397,132953,233743,233911,313829,333857,333923,337397, %T A133970 337487,337661,337907,357727,370451,373753,374159,375407,375979, %U A133970 379433,379859,383557,397673,397751,397829,399241,409823,473659,616789,733331 %N A133970 Home primes whose homeliness is 8. %C A133970 Number of terms < 10^n: 0, 0, 0, 1, 3, 33, 318, ... . %t A133970 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 A133970 d = 8 - 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 A133970 Cf. A037274, A118756, A133969, A133956, A133957, A133958, A133960, A133962, A133964, A133966, A133968, A133972, A133974, A133976, A133978. %K A133970 nonn,base %O A133970 1,1 %A A133970 _Robert G. Wilson v_, Sep 30 2007