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 A100600 #14 Jul 02 2024 19:17:01
%S A100600 3,4,29,32,133
%N A100600 Numbers k such that (prime(k)-1)! + prime(k)^6 is prime.
%C A100600 k = {3, 4, 29, 32, 133} yields primes p(n) = {5, 7, 109, 131, 751}. There are no more such k up to k=100. Computed in collaboration with _Ray Chandler_.
%C A100600 a(6) > 600. - _Jinyuan Wang_, Apr 10 2020
%C A100600 a(6) > 2500. - _Michael S. Branicky_, Jul 02 2024
%F A100600 Numbers k such that (prime(k)-1)! + prime(k)^6 is prime, where prime(k) is the k-th prime.
%e A100600 a(1) = 3 because (prime(3)-1)! + prime(3)^6 = (5-1)! + 5^6 = 15649 is the smallest prime of that form.
%t A100600 lst={};Do[p=Prime[n];If[PrimeQ[(p-1)!+p^6], AppendTo[lst, n]], {n, 10^2}];lst (* _Vladimir Joseph Stephan Orlovsky_, Sep 08 2008 *)
%Y A100600 Cf. A100599, A100602, A100858.
%K A100600 nonn,hard,more
%O A100600 1,1
%A A100600 _Jonathan Vos Post_, Nov 30 2004
%E A100600 a(5) from _Jinyuan Wang_, Apr 10 2020