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A288450
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Numbers k such that k!6 + 48 is prime, where k!6 is the sextuple factorial number (A085158 ).
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1
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5, 11, 13, 17, 19, 35, 43, 49, 67, 71, 73, 85, 103, 263, 293, 497, 529, 599, 905, 971, 1685, 2927, 3635, 3847, 4535, 8501, 38777
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OFFSET
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1,1
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COMMENTS
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Corresponding primes are: 53, 103, 139, 983, 1777, 21827623, 2131900273, 104463111073, ...
a(28) > 50000.
Terms > 49 correspond to probable primes.
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LINKS
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EXAMPLE
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11!6 + 48 = 11*5 + 48 = 103 is prime, so 11 is in the sequence.
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MATHEMATICA
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MultiFactorial[n_, k_] := If[n < 1, 1, n*MultiFactorial[n - k, k]];
Select[Range[0, 50000], PrimeQ[MultiFactorial[#, 6] + 48] &]
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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STATUS
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approved
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