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 A139188 #14 Sep 29 2024 15:13:37
%S A139188 7,13,241,7,7983361,5
%N A139188 Greater twin prime member A006512 of the form k!/n + 1.
%C A139188 Given n, the sequence shows the smallest A006512(j) = a(n) of the form k!/n - 1.
%C A139188 The associated lower twin prime is A139187(n) = A001359(j) = a(n) - 2,
%C A139188 and the associated factorial index is k(n) = A139186(n).
%C A139188 a(7) is unknown, with k(7) > 25000. A continuation of the sequence, with unknown terms indicated by 0, is a(7)..a(50): 0, 453601, 0, 13, 0, 61, 0, 0, 2689, 0, 0, 0, 2688996956405760001, 7, 241, 0, 0, 31, 44960029111104307201, 0, 134401, 181, 0, 5, 0, 0, 0, 0, 1153, 100801, 0, 0, 536481792001, 19, 0, 0, 0, 141523201, 0, 1313375283986387731246850697141608641462272000000001, 0, 7561, 0, 8065829222532112711680001. - _Hugo Pfoertner_, Mar 30 2020
%F A139188 a(n) = A139187(n)+2 = A000142(A139186(n))/n+1 .
%t A139188 a = {}; Do[k = 1; While[ ! (PrimeQ[(k! - n)/n] && PrimeQ[(k! + n)/n]), k++ ]; AppendTo[a, (k! + n)/n], {n, 1, 6}]; a
%Y A139188 Cf. A139186, A139187.
%K A139188 nonn,more
%O A139188 1,1
%A A139188 _Artur Jasinski_, Apr 11 2008