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A065862
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Remainder when n-th composite number is divided by the number of nonprimes not exceeding n.
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1
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0, 0, 0, 1, 0, 0, 2, 3, 1, 0, 2, 0, 1, 0, 7, 6, 7, 6, 8, 8, 7, 6, 7, 6, 6, 5, 4, 4, 6, 5, 6, 6, 5, 4, 3, 2, 4, 3, 2, 1, 2, 2, 4, 3, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 38, 38, 39, 39, 40, 41, 42, 42, 42, 42, 43, 43, 44, 44, 44, 44, 45, 46, 47, 47, 48, 49, 49, 49, 51, 52, 52, 52, 54, 54, 54, 54, 54
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OFFSET
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1,7
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LINKS
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FORMULA
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MATHEMATICA
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Module[{nn=150, cmps, len}, cmps=Select[Range[nn], CompositeQ]; len=Length[ cmps]; Mod[#[[1]], #[[2]]-PrimePi[#[[2]]]]&/@Thread[{cmps, Range[len]}]] (* Harvey P. Dale, Feb 21 2020 *)
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PROG
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(PARI) Composite(n) = { local(k); k=n + primepi(n) + 1; while (k != n + primepi(k) + 1, k = n + primepi(k) + 1); return(k) } { for (n = 1, 1000, a=Composite(n)%(n - primepi(n)); write("b065862.txt", n, " ", a) ) } \\ Harry J. Smith, Nov 02 2009
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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