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Search: id:A082893
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| A082893 |
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a(n) is the closest number to n-th prime which is divisible by n. |
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+0
9
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| 2, 4, 6, 8, 10, 12, 14, 16, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 76, 80, 63, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188, 240, 245, 250, 255, 260, 265, 270, 275, 280, 285, 290
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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a(n)=n.floor[(floor(n/2)+p(n))/n], where p(n) is the n-th prime.
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EXAMPLE
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24th prime, 89 is between 72 and 96, closer to 96, so a(24)=96;
25th prime, 97 is between 75 and 100, closer to 100, so a(25)=100.
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MATHEMATICA
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Table[n*Floor[(Floor[n/2]+Prime[n])/n], {n, 1, 100}]
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CROSSREFS
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Cf. A082894-A082900.
Sequence in context: A118081 A152483 A162764 this_sequence A024807 A063459 A062417
Adjacent sequences: A082890 A082891 A082892 this_sequence A082894 A082895 A082896
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Apr 22 2003
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