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 A100599 #22 Jul 03 2024 01:12:56
%S A100599 7,14,16,59
%N A100599 Numbers k such that (prime(k)-1)! + prime(k)^7 is prime.
%C A100599 k = {7, 14, 16, 59} yields primes p(k) = {17, 43, 53, 277}. There are no more such k up to k=100. Computed in collaboration with _Ray Chandler_.
%C A100599 a(5) > 600. - _Jinyuan Wang_, Apr 10 2020
%C A100599 a(5) > 2500. - _Michael S. Branicky_, Jul 02 2024
%e A100599 a(1) = 7 because (prime(7)-1)! + prime(7)^7 = (17-1)! + 17^7 = 20923200226673 is the smallest prime of that form.
%t A100599 lst={};Do[p=Prime[n];If[PrimeQ[(p-1)!+p^7], AppendTo[lst, n]], {n, 10^2}];lst (* _Vladimir Joseph Stephan Orlovsky_, Sep 08 2008 *)
%o A100599 (PARI) is(k) = ispseudoprime((prime(k)-1)! + prime(k)^7); \\ _Jinyuan Wang_, Apr 10 2020
%Y A100599 Cf. A100598, A100600, A100858.
%K A100599 nonn,hard,more
%O A100599 1,1
%A A100599 _Jonathan Vos Post_, Nov 30 2004