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 A105327 #8 Feb 16 2025 08:32:57 %S A105327 0,1,2,115,1626,5370,5371,5570,5571,6170,6171,40854,373369,373469, %T A105327 419386,419658,419685,889609,889619 %N A105327 Numbers n such that pi(n)=pi(d_1!)+pi(d_2!)+...+pi(d_k!) where d_1 d_2 ...d_k is the decimal expansion of n. %C A105327 There is no further term (the proof is easy). %H A105327 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Factorial.html">Factorial</a>. %e A105327 889619 is in the sequence because pi(889619)=pi(8!)+pi(8!)+pi(9!)+pi(6!)+pi(1!)+pi(9!). %t A105327 Do[h = IntegerDigits[m]; l = Length[h]; If[PrimePi[m] == Sum[PrimePi[h[[k]]! ], {k, l}], Print[m]], {m, 0, 3000000}] %Y A105327 Cf. A066457, A105328. %K A105327 base,fini,full,nonn %O A105327 1,3 %A A105327 _Farideh Firoozbakht_, Apr 20 2005