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 A343718 #33 Dec 28 2022 01:57:25
%S A343718 1,3,7,11,29,43,47,73,103,113,149,337,509,643,719,1021,3739,5507,8369,
%T A343718 9511,10531,11633,17489,19081,22877,25189,27109,34667,53411,55117,
%U A343718 65027,73061
%N A343718 Record values in A343717.
%H A343718 Lucas A. Brown, <a href="https://github.com/lucasaugustus/oeis/blob/main/A343717%2B8%2B9.py">Python program</a>.
%t A343718 With[{s = Array[Block[{m = #!, k = 0}, While[! PrimeQ[10^If[k == 0, 1, IntegerLength[k]]*m + k], k++]; k] &, 250, 0] }, Union@ FoldList[Max, s]] (* _Michael De Vlieger_, May 17 2021 *)
%o A343718 (Python) # see linked program in A343717
%Y A343718 Cf. A343717, A343719.
%K A343718 nonn,base,more,hard
%O A343718 1,2
%A A343718 _Jon E. Schoenfield_, May 17 2021
%E A343718 a(20)-a(23) from _Michael S. Branicky_, May 18 2021
%E A343718 a(24) from _Michael S. Branicky_, May 19 2021
%E A343718 a(25)-a(31) from _Chai Wah Wu_, May 25 2021
%E A343718 a(32) from _Lucas A. Brown_, Dec 27 2022