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A075765
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a(n) = floor(prime(n)/n) + (prime(n) mod n).
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0
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2, 2, 3, 4, 3, 3, 5, 5, 7, 11, 11, 4, 5, 4, 5, 8, 11, 10, 13, 14, 13, 16, 17, 20, 25, 26, 25, 26, 25, 26, 7, 7, 9, 7, 13, 11, 13, 15, 15, 17, 19, 17, 23, 21, 21, 19, 27, 35, 35, 33, 33, 35, 33, 39, 41, 43, 45, 43, 45, 45, 43, 49, 59, 59, 57, 57, 67, 69, 7, 73, 73, 75, 7, 8, 9, 8, 9, 12
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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p(n)/n = k + r; r<n; a(n) = k + r; p prime, n, k, r integers.
a(n) = prime(n) - (n-1)*sum_{k>0} floor(prime(n)/n^k) = prime(n) - (n-1)*floor(prime(n)/n). - Hieronymus Fischer, Oct 09 2007
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EXAMPLE
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p(9)/9=23/9=2+5/9; a(9)=2+5=7
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MATHEMATICA
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fmQ[n_]:=Module[{pn=Prime[n]}, Floor[pn/n]+Mod[pn, n]]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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