No subject

hv at crypt.org hv at crypt.org
Wed May 28 21:15:38 CEST 2003


murthy amarnath <amarnath_murthy at yahoo.com> wrote:
:Dear Dr. Sloane and seq fans,
:
:Does the following sequence make sence?
:rearrangement of natural numbers in an ascending order
:such that
:a(n)/sigma(n)  <= a(n+1)/sigma(n+1).
:
:sigma(6) = 12, sigma(12)= 28.
:12/28 < 6/12
:hence 12 comes before 6 in the sequence 

Consider what would be the first element of such a sequence: for any
m, n > 1 you must have (m * n) appear before both (m) and (n).

Note that you can't start from the other end of the sequence either,
since then you'd have first to find the highest prime number.

Hugo





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