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Search: id:A056831
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| A056831 |
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LCM of composite numbers falling between n-th and (n+1)-st primes. |
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+0
2
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| 4, 6, 360, 12, 1680, 18, 4620, 491400, 30, 1884960, 29640, 42, 45540, 12994800, 45821160, 60, 89369280, 164220, 72, 211110900, 265680, 195878760, 83434347360, 485100, 102, 578760, 108, 683760, 97661867698205811000, 1073280, 1799665560
(list; graph; listen)
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OFFSET
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2,1
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LINKS
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T. D. Noe, Table of n, a(n) for n=2..1000
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FORMULA
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a(n) = LCM[p(n)+1, ..., p(n)+d(n)-1], where d(n) = p(n+1) - p(n), n>1
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EXAMPLE
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For d=2, a(n) is the average of twin prime pairs (A014574). Roughly, a(n) is a polynomial function of p of degree d-1.
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MATHEMATICA
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Table[LCM@@Range[Prime[n]+1, Prime[n+1]-1], {n, 2, 50}]
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CROSSREFS
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Cf. A014574, A001359.
Sequence in context: A076098 A141568 A113838 this_sequence A027717 A035481 A061214
Adjacent sequences: A056828 A056829 A056830 this_sequence A056832 A056833 A056834
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KEYWORD
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nonn,easy
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Aug 30 2000
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EXTENSIONS
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Edited by Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 12 2002
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