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Search: id:A162738
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| A162738 |
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a(n) = the smallest positive multiple of {the n-th composite} that is > the n-th prime. |
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+0
1
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| 4, 6, 8, 9, 20, 24, 28, 30, 32, 36, 40, 42, 44, 48, 50, 78, 81, 84, 90, 96, 99, 102, 105, 108, 114, 117, 120, 126, 132, 135, 138, 144, 147, 150, 153, 156, 162, 165, 168, 228, 232, 240, 248, 252, 256, 260, 264, 272, 276, 280, 288, 296, 300, 304, 308, 312, 320, 324
(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) = ceiling(p(n)/c(n))*c(n), where c(n) is the n-th composite, and p(n) is the n-th prime.
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MAPLE
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A002808 := proc(n) option remember ; if n = 1 then 4; else for a from procname(n-1)+1 do if not isprime(a) then RETURN(a) : fi; od: fi; end: A162738 := proc(n) A002808(n)*ceil( ithprime(n)/A002808(n)) ; end: seq(A162738(n), n=1..100) ; [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 16 2009]
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CROSSREFS
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Sequence in context: A075243 A024370 A121719 this_sequence A161600 A032350 A078337
Adjacent sequences: A162735 A162736 A162737 this_sequence A162739 A162740 A162741
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KEYWORD
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nonn
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AUTHOR
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Leroy Quet (q1qq2qqq3qqqq(AT)yahoo.com), Jul 12 2009
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EXTENSIONS
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Extended beyond a(16) by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 16 2009
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