A289686 Numbers k such that k!6 - 8 is prime, where k!6 is the sextuple factorial number (A085158).

9, 11, 13, 15, 19, 27, 35, 39, 45, 51, 83, 99, 105, 111, 121, 123, 127, 133, 175, 177, 213, 263, 277, 285, 339, 347, 543, 681, 743, 1069, 1965, 2379, 2613, 2629, 2911, 3767, 3879, 4789, 5493, 5819, 11559, 14555, 17831, 19705, 24867, 37535, 85089

Offset: 1

Author

Robert Price, Jul 09 2017

Keywords

• nonn

Comments

Corresponding primes are: 19, 47, 83, 397, 1721, 229627, 21827567, ...

a(48) > 10^5.

Terms > 99 correspond to probable primes.

Examples

			19!6 - 8 = 19*13*7 - 8 = 1721 is prime, so 19 is in the sequence.
		

Links

• Henri & Renaud Lifchitz, PRP Records. Search for n!6-8.
• Joe McLean, Interesting Sources of Probable Primes
• OpenPFGW Project, Primality Tester

Crossrefs

Cf. A007661, A037082, A084438, A123910, A242994.

Programs

Mathematica

MultiFactorial[n_, k_] := If[n < 1, 1, n*MultiFactorial[n - k, k]];
Select[Range[8, 50000], PrimeQ[MultiFactorial[#, 6] - 8] &]

Extensions

a(47) from Robert Price, Aug 03 2018