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A075367
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Smallest value of LCM(n+1, n+2, ..., n+k) (for k >= 0) that is divisible by the product of all the primes up to n.
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4
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1, 12, 60, 30, 2520, 2520, 360360, 180180, 60060, 60060, 232792560, 232792560, 26771144400, 26771144400, 26771144400, 13385572200, 144403552893600, 144403552893600, 5342931457063200, 5342931457063200, 5342931457063200
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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LINKS
| T. D. Noe, Table of n, a(n) for n=1..200
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FORMULA
| a(n) = LCM(n+1, ..., n+A075365(n))
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MATHEMATICA
| a75365[n_] := Module[{div, k, pr}, div=Times@@Prime/@Range[PrimePi[n]]; For[k=0; pr=1, True, k++; pr*=n+k, If[Mod[pr, div]==0, Return[k]]]]; a[1]=1; a[n_] := LCM@@Range[n+1, n+a75365[n]]
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CROSSREFS
| Cf. A075365, A075366, A075368.
Sequence in context: A048362 A099321 A097302 * A012658 A012407 A009093
Adjacent sequences: A075364 A075365 A075366 * A075368 A075369 A075370
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KEYWORD
| nice,nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 20 2002
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EXTENSIONS
| Edited by Dean Hickerson (dean.hickerson(AT)yahoo.com), Oct 28 2002
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