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A289689
Numbers k such that k!6 - 16 is prime, where k!6 is the sextuple factorial number (A085158).
1
9, 15, 17, 65, 129, 135, 209, 225, 327, 357, 423, 1061, 1143, 3629, 4937, 6713, 33123, 79185, 88323, 89933
OFFSET
1,1
COMMENTS
Corresponding primes are: 11, 389, 919, 8549258359016359, 17694587964658118355578965371540271859, ...
a(21) > 10^5.
Terms > 17 correspond to probable primes.
EXAMPLE
17!6 - 16 = 17*11*5 - 16 = 919 is prime, so 17 is in the sequence.
MATHEMATICA
MultiFactorial[n_, k_] := If[n < 1, 1, n*MultiFactorial[n - k, k]];
Select[Range[6, 50000], PrimeQ[MultiFactorial[#, 6] - 16] &]
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Robert Price, Jul 09 2017
EXTENSIONS
a(18)-a(20) from Robert Price, Aug 03 2018
STATUS
approved