A329175 Numbers k such that k![4] - 64 is prime, where k![4] = A007662(k) = quadruple factorial.

11, 13, 41, 45, 59, 85, 141, 283, 357, 419, 713, 1149, 1353, 1537, 1669, 2353, 2389, 2543, 5147, 5279, 12801, 30035, 39421, 46969, 61077

Offset

1,1

Comments

a(26) > 10^5.

The first 3 primes associated with this sequence are: 167, 521, 7579867420061.

Links

Table of n, a(n) for n=1..25.

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C. Caldwell and H. Dubner (Eds): The top ten prime numbers: from the unpublished collections of R. Ondrejka (May 2001), Table 21 F, p. 75.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] - 64; x > 0 && PrimeQ[x]) &]

Crossrefs

Cf. A007662, A283553.

Sequence in context: A230665 A132238 A132241 * A045467 A108264 A023268

Adjacent sequences: A329172 A329173 A329174 * A329176 A329177 A329178

Keyword

nonn

Author

Robert Price, Nov 07 2019

Status

approved