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A068901
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Least number which when added to the n-th prime gives a multiple of n.
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4
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0, 1, 1, 1, 4, 5, 4, 5, 4, 1, 2, 11, 11, 13, 13, 11, 9, 11, 9, 9, 11, 9, 9, 7, 3, 3, 5, 5, 7, 7, 28, 29, 28, 31, 26, 29, 28, 27, 28, 27, 26, 29, 24, 27, 28, 31, 24, 17, 18, 21, 22, 21, 24, 19, 18, 17, 16, 19, 18, 19, 22, 17, 8, 9, 12, 13, 4, 3, 67, 1
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,5
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COMMENTS
| Min{k | n divides (prime(n)+k)}.
a(n) = A068902(n) - A000040(n).
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LINKS
| R. Zumkeller, Table of n, a(n) for n = 1..10000 [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 16 2009]
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FORMULA
| n*ceil(prime(n)/n)-prime(n). - Vladeta Jovovic (vladeta(AT)eunet.rs), Apr 06 2003
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MATHEMATICA
| f[n_] := Module[{p=Prime[n]}, n*Ceiling[p/n]-p]; Array[f, 100] (* From Harvey P. Dale, Apr 06 2011 *)
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CROSSREFS
| A090973. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 16 2009]
Sequence in context: A125583 A196619 A063694 * A010710 A021026 A126128
Adjacent sequences: A068898 A068899 A068900 * A068902 A068903 A068904
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KEYWORD
| nonn,nice
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AUTHOR
| Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Mar 05 2002
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