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A100288 Primes of the form (1!)^2 + (2!)^2 + (3!)^2 +...+ (k!)^2. 6

%I #11 Apr 03 2023 10:36:10

%S 5,41,617,15017,25935017,1651637417,13301522971817,

%T 41117342095090841723228045851817,

%U 2616218222822143606864564493635469851817

%N Primes of the form (1!)^2 + (2!)^2 + (3!)^2 +...+ (k!)^2.

%C Jonathan Vos Post contributed these numbers to Prime Curios.

%H G. L. Honaker, Jr. and C. Caldwell, <a href="https://t5k.org/curios/">Prime Curios!</a>

%e 41 = (1!)^2 + (2!)^2 + (3!)^2 is prime.

%o (PARI) lista(nn) = {my(s=1); for(k=2, nn, s+=(k!)^2; if(ispseudoprime(s), print1(s, ", "))); } \\ _Jinyuan Wang_, Mar 08 2020

%Y Cf. A100289 (k such that (1!)^2 + (2!)^2 + (3!)^2 + ... + (k!)^2 is prime).

%Y See also A061062, A104344.

%K nonn,fini

%O 1,1

%A _T. D. Noe_, Nov 11 2004

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Last modified March 29 06:15 EDT 2024. Contains 371265 sequences. (Running on oeis4.)