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A288448
Numbers k such that k!6 + 32 is prime, where k!6 is the sextuple factorial number (A085158 ).
1
5, 9, 17, 21, 29, 53, 57, 105, 111, 279, 303, 435, 483, 677, 1049, 1217, 1395, 9651, 26031, 31937
OFFSET
1,1
COMMENTS
Corresponding primes are: 37, 59, 967, 8537, 623677, 2229272062357, 38661097149707, ...
a(21) > 50000.
Terms > 29 correspond to probable primes.
EXAMPLE
17!6 + 32 = 17*11*5 + 32 = 967 is prime, so 17 is in the sequence.
MATHEMATICA
MultiFactorial[n_, k_] := If[n < 1, 1, n*MultiFactorial[n - k, k]];
Select[Range[0, 50000], PrimeQ[MultiFactorial[#, 6] + 32] &]
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Robert Price, Jun 09 2017
STATUS
approved