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 A206762 #15 Aug 03 2014 14:01:39
%S A206762 1,1,2,2,3,2,2,5,6,1,8,2,5,7,2,3,0,5,8,4,16,3,8,4,10,1,13,8,2,19,4,11,
%T A206762 11,7,3,1,12,13,4,1,24,2,8,5,9,25,16,2,12,0,26,0,17,22,44,22,37,7,48,
%U A206762 4,37,18,7,39,16,19,7,15,19,36,30,1,14,15,16,1
%N A206762 a(n) is the least number from 1,2,...,n-1, such that n!/a(n)+1 is prime, and a(n)=0, if such number does not exist.
%C A206762 The sequence of primes n!/a(n)+1, when a(n)>0, is increasing.
%t A206762 Table[s = Select[Range[n - 1], PrimeQ[n!/# + 1] &, 1]; If[s == {}, 0, s[[1]]], {n, 2, 100}] (* _T. D. Noe_, Feb 13 2012 *)
%Y A206762 Cf. A089136, A092265, A092965, A092969, A092970.
%K A206762 nonn
%O A206762 2,3
%A A206762 _Vladimir Shevelev_, Feb 12 2012