OFFSET
1,1
COMMENTS
The asymptotic average, as n increases, of n's longest string of consecutive divisors is the constant 1.787780456..., given in A064859.
FORMULA
EXAMPLE
A number's longest string of consecutive divisors is a(5)=6 iff the integer is a multiple of 60 but not of 7. As n increases, the asymptotic fraction of positive integers satisfying those conditions equals 1/60 * 6/7 = 1/70. Therefore a(5) = 70.
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Matthew Vandermast, Oct 07 2010
STATUS
approved