A329167 Numbers k such that k![4] - 32 is prime, where k![4] = A007662(k) = quadruple factorial.

9, 11, 15, 25, 29, 47, 55, 67, 119, 171, 331, 475, 549, 819, 1151, 1543, 2303, 2749, 3303, 3649, 4065, 4261, 4497, 4873, 9105, 12749, 18677, 20121, 22459, 32489, 35765, 46971, 75843, 79585, 79731

Offset

1,1

Comments

a(36) > 10^5.

The first 4 primes associated with this sequence are: 13, 199, 3433, 5221093.

Links

Table of n, a(n) for n=1..35.

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C. Caldwell and H. Dubner (Eds): The top ten prime numbers: from the unpublished collections of R. Ondrejka (May 2001), Table 21 F, p. 75.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] - 32; x > 0 && PrimeQ[x]) &]

Crossrefs

Cf. A007662, A283553.

Sequence in context: A163096 A027694 A063191 * A216976 A236390 A048464

Adjacent sequences: A329164 A329165 A329166 * A329168 A329169 A329170

Keyword

nonn

Author

Robert Price, Nov 06 2019

Status

approved