%I #7 Apr 03 2023 10:36:13

%S 0,1,3,5,9,17,27,45,51,53,93,197,213,221,245,279,845,927,2055,2895,

%T 3615,5613,12753,15737,17813,18545,22629,47859,48797

%N Numbers k such that k![6] + 2 is prime, where k![6] = A085158(k) = sextuple factorial.

%C a(30) > 50000.

%C The first 7 primes associated with this sequence: 3, 3, 5, 7, 29, 937, 229637.

%H C. Caldwell and H. Dubner (Eds): <a href="https://t5k.org/lists/top_ten/">The top ten prime numbers: from the unpublished collections of R. Ondrejka</a> (May 2001), Table 21 F, p. 75

%H Ken Davis, <a href="http://mfprimes.free-dc.org">Status of Search for Multifactorial Primes</a>.

%t MultiFactorial[n_, k_] := If[n < 1, 1, n*MultiFactorial[n - k, k]];

%t Select[Range[0, 50000], PrimeQ[MultiFactorial[#, 6] + 2] &]

%t Select[Range[0,10000],PrimeQ[Times@@Range[#,1,-6]+2]&] (* The program generates the first 22 terms of the sequence. *) (* _Harvey P. Dale_, Dec 27 2022 *)

%Y Cf. A076185, A085158, A094144, A204657.

%K nonn

%O 1,3

%A _Robert Price_, May 21 2017