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

Author

Robert Price, Nov 07 2019

Keywords

• nonn

Comments

a(26) > 10^5.

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

Links

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• C. Caldwell and H. Dubner (Eds): The top ten prime numbers: from the unpublished collections of R. Ondrejka (May 2001), Table 21 F, p. 75.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

Crossrefs

Cf. A007662, A283553.

Programs

Mathematica

MultiFactorial[n_, k_] := If[n < 1, 1, n*MultiFactorial[n - k, k]];
Select[Range[1000], (x = MultiFactorial[#, 4] - 64; x > 0 && PrimeQ[x]) &]