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A204662 Numbers n such that n!8-1 is prime. 8
3, 4, 6, 8, 10, 12, 14, 16, 18, 22, 28, 30, 42, 48, 58, 68, 80, 86, 92, 108, 110, 112, 130, 198, 220, 230, 322, 432, 460, 478, 686, 706, 714, 842, 950, 1010, 1090, 1314, 1904, 2264, 2804, 3164, 3324, 4740, 4824, 4918, 5086, 5442, 6994, 7898, 8236, 8684, 10088, 13990, 15320, 17570, 18218, 21564, 22198, 22684, 24314, 24780, 25790, 38726 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
n!8 = A114800(n).
No other terms < 50000. - Robert Price, Aug 15 2012
LINKS
MATHEMATICA
MultiFactorial[n_, k_] := If[n < 1, 1, n*MultiFactorial[n - k, k]];
Select[Range[0, 1000], PrimeQ[MultiFactorial[#, 8] - 1] & ] (* Robert Price, Apr 19 2019 *)
PROG
(PARI) for(n=0, 9999, isprime(prod(i=0, (n-2)\8, n-8*i)-1)& print1(n", "))
CROSSREFS
Sequence in context: A051755 A092535 A215476 * A135667 A156624 A341340
KEYWORD
nonn,hard
AUTHOR
M. F. Hasler, Jan 17 2012
EXTENSIONS
a(39)-a(64) from Robert Price, Aug 15 2012
STATUS
approved

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Last modified April 12 22:48 EDT 2024. Contains 371639 sequences. (Running on oeis4.)