From: spike66 (spike66@attbi.com)
Date: Fri Jun 07 2002 - 11:07:37 MDT
Lee Corbin wrote:
>Note: this post is only incidentally about mathematics
>so if you hate math, keep reading anyway:
>I think that Spike's most important long-term conceptual
>contribution here stems from his
>
>>general technique for finding ever better numbers is by
>>starting out with a sequence of prime numbers such as...
>>
>
>This is a model for the way that we want to explode
>into the future... Lee
>
Wow, cool thought Lee. I was about to suggest we start
ExI-math to avoid distubing those who are offended by
mathematics. {8^D
Regarding my earlier comment warning people away from
trading on Ideas Futures based on this technique, I now
repent of posting that. Go ahead and trade on those memes.
Why, spike? Because I realized this morning that we
actually can gain insight into the problem of the nonexistence
of odd perfect numbers using that technique.
If one uses the Corbin equation with a series of sequential
primes, and solves for a zero difference between the product
and the sum of its factors, if the last term is an integer it is
always even.
Don't know why yet, but I have several dozen examples,
the most trivial of which is the following:
Start with the sequence 3*5. To make a better number, what
is the third term ideally?
3*5*n = (3+1)*(5+1)*(n+1) - 3*5*n
n = 4, even, so 3*5*4 is even so no odd perfect number
for the good guys.
Repeat for 3*5*7*11*n, we get n=384, even. Im thinking
now there is a trivial proof why it should always be so.
Shall we start ExI-math and take this elsewhere? Or trust
non-math-geeks to be quick on the delete key? spike
This archive was generated by hypermail 2.1.5 : Sat Nov 02 2002 - 09:14:39 MST