A329183 Numbers k such that k![4] - 512 is prime, where k![4] = A007662(k) = quadruple factorial.

13, 15, 17, 19, 21, 23, 25, 35, 39, 47, 67, 71, 89, 93, 113, 153, 163, 185, 201, 267, 427, 491, 871, 1645, 3075, 3351, 3435, 5385, 7893, 10649, 15597, 44641, 50039, 57269, 67647, 83061, 89717

Offset

1,1

Comments

a(38) > 10^5.

The first 5 primes associated with this sequence are: 73, 2953, 9433, 65323, 208333.

Links

Table of n, a(n) for n=1..37.

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C. Caldwell and H. Dubner (Eds): The top ten prime numbers: from the unpublished collections of R. Ondrejka (May 2001), Table 21 F, p. 75.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] - 512; x > 0 && PrimeQ[x]) &]

Crossrefs

Cf. A007662, A283553.

Sequence in context: A180642 A176717 A070603 * A302440 A031060 A120129

Adjacent sequences: A329180 A329181 A329182 * A329184 A329185 A329186

Keyword

nonn

Author

Robert Price, Nov 07 2019

Status

approved