From: Raymond Manzoni <raymman@club-internet.fr>
Subject: Re: Highly Composite number or Consectutive Composite Numbers
Date: Mon, 18 Sep 2000 00:59:33 +0200
Newsgroups: sci.math

madhatter101@my-deja.com wrote:
> 
> I am looking for a formula for a highly composite numbers example
> 
> 1
> 2
> 6
> 12
> 24
> 36
> 48
> 60
> 
> Thanks a million
> 


  Try here for some details :   

  http://mathworld.wolfram.com/HighlyCompositeNumber.html

  Search too Abundant numbers (or superabundant)

  I don't think there's a simple 'Formula' but if you find a n>5040
with  sigma(n)/n >= e^EulerConstant*log(log(n)) you'll get famous for
proving the Riemann hypothesis wrong!

  Have a look too at 'An Elementary Problem Equivalent to the
Riemann Hypothesis' math.NT/0008177
  http://xxx.lpthe.jussieu.fr/abs/math/?0008177

  Hope it helped,

                  Raymond