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 A100288 #15 May 09 2025 19:33:53
%S A100288 5,41,617,15017,25935017,1651637417,13301522971817,
%T A100288 41117342095090841723228045851817,
%U A100288 2616218222822143606864564493635469851817
%N A100288 Primes of the form (1!)^2 + (2!)^2 + (3!)^2 +...+ (k!)^2.
%C A100288 Jonathan Vos Post contributed these numbers to Prime Curios.
%H A100288 G. L. Honaker, Jr. and C. Caldwell, <a href="https://t5k.org/curios/">Prime Curios!</a>
%e A100288 41 = (1!)^2 + (2!)^2 + (3!)^2 is prime.
%t A100288 Select[Accumulate[Table[(n!)^2,{n,30}]],PrimeQ] (* _Harvey P. Dale_, May 09 2025 *)
%o A100288 (PARI) lista(nn) = {my(s=1); for(k=2, nn, s+=(k!)^2; if(ispseudoprime(s), print1(s, ", "))); } \\ _Jinyuan Wang_, Mar 08 2020
%Y A100288 Cf. A100289 (k such that (1!)^2 + (2!)^2 + (3!)^2 + ... + (k!)^2 is prime).
%Y A100288 See also A061062, A104344.
%K A100288 nonn,fini
%O A100288 1,1
%A A100288 _T. D. Noe_, Nov 11 2004