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A073367
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Remainder when n-th composite is divided by number of composites not exceeding n.
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1
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0, 0, 0, 0, 0, 0, 3, 0, 3, 4, 3, 1, 8, 0, 8, 0, 10, 9, 8, 9, 8, 8, 7, 6, 6, 8, 7, 8, 8, 7, 6, 5, 4, 6, 5, 4, 3, 4, 4, 6, 5, 4, 3, 4, 4, 3, 2, 2, 2, 3, 2, 1, 0, 0, 40, 0, 0, 1, 0, 43, 43, 44, 44, 45, 45, 45, 45, 46, 47, 48, 48, 49, 50, 50, 50, 52, 53, 53, 53, 55, 55, 55, 55, 55, 55, 56, 56, 56
(list; graph; refs; listen; history; internal format)
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OFFSET
| 4,7
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FORMULA
| a(n)=Mod[A002808(n), A065855(n)]
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EXAMPLE
| n=4: a(4)=Mod[composite(4),4-Pi(4)-1]=Mod[9,1]=0; n=19: a(19)=Mod[composite(19),19-Pi(19)-1]=Mod[30,10]=0;
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MATHEMATICA
| f[x_] := FixedPoint[x+PrimePi[ # ]+1&, x] Table[Mod[f[w], w-PrimePi[w]-1], {w, 1, 128}]
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CROSSREFS
| Cf. A002808, A065855.
Sequence in context: A111815 A127753 A197736 * A111862 A060858 A127749
Adjacent sequences: A073364 A073365 A073366 * A073368 A073369 A073370
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Jul 30 2002
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