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Search: id:A061799
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| A061799 |
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Smallest number with at least n factors. |
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+0
8
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| 1, 2, 4, 6, 12, 12, 24, 24, 36, 48, 60, 60, 120, 120, 120, 120, 180, 180, 240, 240, 360, 360, 360, 360, 720, 720, 720, 720, 720, 720, 840, 840, 1260, 1260, 1260, 1260, 1680, 1680, 1680, 1680, 2520, 2520, 2520, 2520, 2520, 2520, 2520, 2520, 5040, 5040, 5040
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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a(5)=12 since every number less than 12 has fewer than five factors (1 has one; 2,3,5,7 and 11 have two each; 4 and 9 have three each; 6,8 and 10 have four each) while 12 has at least five (in fact it has six: 1,2,3,4,6 and 12).
Smallest number which can be expressed as the least common multiple of n distinct numbers. - Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 27 2002
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..2000 (using A002182)
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PROGRAM
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(PARI) for(n=1, 100, s=n; while(numdiv(s)<n, s++); print1(s, ", "))
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CROSSREFS
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Cf. A000005, A002182, A002183, A005179.
Sequence in context: A053146 A056675 A062857 this_sequence A076868 A056793 A137387
Adjacent sequences: A061796 A061797 A061798 this_sequence A061800 A061801 A061802
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KEYWORD
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nice,nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Jun 22 2001
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