

A181063


Smallest positive integer with a discrete string of exactly n consecutive divisors, or 0 if no such integer exists.


3



1, 2, 6, 12, 3960, 60, 420, 840, 17907120, 2520, 411863760, 27720, 68502634200, 447069823200, 360360, 720720, 7600186994400, 12252240, 9524356075634400, 81909462250455840, 1149071006394511200, 232792560, 35621201198229847200, 5354228880, 91351145008363640400
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OFFSET

1,2


COMMENTS

The word "discrete" is used to describe a string of consecutive divisors that is not part of a longer such string.
Does a(n) ever equal 0?
a(n) = A003418(n) iff n belongs to A181062; otherwise, a(n) > A003418(n). a(A181062(n)) = A051451(n).


LINKS

David W. Wilson, Table of n, a(n) for n = 1..1000


EXAMPLE

a(5) = 3960 is divisible by 8, 9, 10, 11, and 12, but not 7 or 13. It is the smallest positive integer with a string of 5 consecutive divisors that is not part of a longer string.


CROSSREFS

Cf. A181064.
Sequence in context: A007668 A089415 A282974 * A161324 A226603 A116534
Adjacent sequences: A181060 A181061 A181062 * A181064 A181065 A181066


KEYWORD

nonn


AUTHOR

Matthew Vandermast, Oct 07 2010


STATUS

approved



