(n!)modx ...

[Jim choate <ravage@bga.com>]

Hi all,

In a reply late last week concerning large values of x and x having many
prime factors I made the comment that even pairs might be factored out
by multiplying them and then finding a different way to factor the product.
I as assuming that the product of two primes would not produce a product
which in general could not be factored a different way. This seems to be
in error. So far the vast majority of cases I have looked at have failed.

This leaves the problem of large values of x which have many prime factors
that appear either two or more times in n. At this point I don't see a 
way to use this relationship to further gain.

Any ideas would be greatly appreciated.

Side Note: I have lost the original post concerning this subject. I am
	   still working on a paper concerning the behaviour of the mod
 	   function and would like to provide credit where credit is
	   due. If you are the original author or can provide the e-mail
	   address (please reply via e-mail) of the author it would be 
	   much appreciated.

Take care.