%I #4 Apr 01 2023 23:25:46
%S 1,2,4,5,17,11,23,2957,23117,204557,2018957,37313,296797,39229,622561,
%T 1832213,87616043,2462521469,17209100320681,5207129,2558906768309,
%U 135954526571,85412472868721,3075880875779
%N a(n) is the smallest number m such that m! is divisible by the left factorial !n (A003422).
%C Conjecture: a(n) is the largest prime factor of !n for all n > 2. - _Sean A. Irvine_, Apr 01 2023
%e !4 = 1+1+2+6+24 = 34. The smallest value of n such that n! is divisible by 34 is 17!, so a(4)=17
%K nonn
%O 0,2
%A Jonathan Ayres (jonathan.ayres(AT)btinternet.com), Nov 22 2001