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A055976
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Remainder when (n-1)! + 1 is divided by n.
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6
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0, 0, 0, 3, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1
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OFFSET
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1,4
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COMMENTS
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Related to Wilson's theorem. a(n) = 0 iff n = 1 or a prime; a(n) = 1 iff n > 4 is composite; a(n) = 3 iff n = 4.
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REFERENCES
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Albert H. Beiler, Recreations in The Theory of Numbers, The Queen of Mathematics Entertains, Second Edition, Dover Publications, Inc., New York, 1966, Page 50.
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LINKS
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MATHEMATICA
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Do[Print[Mod[(n-1)!+1, n]], {n, 1, 100}]
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PROG
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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