Re: JSH: Common sense

From: Rick Decker (rdecker_at_hamilton.edu)
Date: 04/20/05 

Date: Tue, 19 Apr 2005 19:21:37 -0400

jstevh@msn.com wrote:
> stush@rocketmail.com wrote:
>
>>jst...@msn.com wrote:
>>
>>>If someone just steps up to the plate and can show that I'm wrong
>>>versus arguing with me about infinity then, hey, I just go back to
>>>bugging sci.math about the problem with algebraic integers or my
>>
>>prime
>>
>>>counting function.
>>
>>But you are right. If you iterate over an infinite set of rational
>>inputs, SFT will produce an infinite number of non-trival factors as
>>outputs.
>>
>>What are people missing?
>
>
> Oh, the theorem isn't really all that difficult, and it's not possible
> for it to lean towards one type of factor or another,

Having tested it today, I find that it "leans toward" trivial factors
to the same degree that random choice of trial factors does. (It
actually tends to produce fewer successes than expected, but
only slightly less.)

Regards,

Rick