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A126800
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a(n) = smallest divisor of n which is > A055874(n).
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1
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3, 4, 5, 6, 7, 4, 3, 5, 11, 6, 13, 7, 3, 4, 17, 6, 19, 4, 3, 11, 23, 6, 5, 13, 3, 4, 29, 5, 31, 4, 3, 17, 5, 6, 37, 19, 3, 4, 41, 6, 43, 4, 3, 23, 47, 6, 7, 5, 3, 4, 53, 6, 5, 4, 3, 29, 59, 10, 61, 31, 3, 4, 5, 6, 67, 4, 3, 5, 71, 6, 73, 37, 3, 4, 7, 6, 79, 4
(list; graph; refs; listen; history; internal format)
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OFFSET
| 3,1
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COMMENTS
| a(n) is also the smallest divisor m, m > 1, of n where (m-1) is not a divisor of n.
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EXAMPLE
| The divisors of 12 are 1,2,3,4,6,12. A055874(12) = 4, since 1,2,3,4 are each a divisor of 12. The next higher divisor is 6. So a(12) = 6.
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MAPLE
| A055874 := proc(n) local m; for m from 1 do if n mod m <> 0 then RETURN(m-1) ; fi ; od: end: A126800 := proc(n) local a; for a from A055874(n)+1 do if n mod a = 0 then RETURN(a) ; fi ; od: end: seq(A126800(n), n=3..80) ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 01 2007
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CROSSREFS
| Cf. A055874.
Sequence in context: A159077 A049267 A111608 * A067628 A168093 A095254
Adjacent sequences: A126797 A126798 A126799 * A126801 A126802 A126803
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KEYWORD
| nonn
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AUTHOR
| Leroy Quet Feb 21 2007
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EXTENSIONS
| More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 01 2007
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