A329184 Numbers k such that k![4] - 1024 is prime, where k![4] = A007662(k) = quadruple factorial.

15, 19, 21, 25, 27, 33, 47, 51, 55, 85, 95, 153, 163, 187, 191, 315, 335, 363, 375, 419, 433, 669, 873, 1097, 1113, 1235, 1819, 1969, 2043, 2391, 2493, 3639, 4433, 5527, 6423, 9441, 14099, 24607, 27057, 62271, 98079

Offset

1,1

Comments

a(42) > 10^5.

The first 5 primes associated with this sequence are: 2441, 64811, 207821, 5220101, 40882511.

Links

Table of n, a(n) for n=1..41.

C. K. Caldwell, The Prime Glossary, multifactorial prime

C. Caldwell and H. Dubner (Eds): The top ten prime numbers: from the unpublished collections of R. Ondrejka (May 2001), Table 21 F, p. 75.

Ken Davis, Status of Search for Multifactorial Primes.

Joe McLean, Interesting Sources of Probable Primes

Mathematica

MultiFactorial[n_, k_] := If[n < 1, 1, n*MultiFactorial[n - k, k]];
Select[Range[1000], (x = MultiFactorial[#, 4] - 1024; x > 0 && PrimeQ[x]) &]

Crossrefs

Cf. A007662, A283553.

Sequence in context: A348517 A224535 A225861 * A077349 A368827 A257020

Adjacent sequences: A329181 A329182 A329183 * A329185 A329186 A329187

Keyword

nonn

Author

Robert Price, Nov 07 2019

Status

approved