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From: Larry on 2 Aug 2010 16:45
Not surprisingly, I have found a fatal flaw in my argument. I
suspected that this would be the case.

It is Lemma 12 if anyone is interested. I had made the claim that:

3^(n-1) + 3^(n-2)*2^a_1 + 3^(n-3)*2^(a_1 + a_2) + ... + 3*2^(a_1 + ...
+ a_{n-2}) + 2^(a_1 + ... + a_{n-1}) =

(3 + 2^(a_1))(3 + 2^(a_2))*...*(3 + 2^(a_{n-1}) - (3)(3 +
2^(a_2))*...*(3 + 2&(a_{n-1}) - 3^(n-2)

Very sorry to have posted here when there was such an obvious
mistake. I should have caught this myself before posting.

Thanks to everyone who responded to my posts! I always appreciate
honesty. :-)

-Larry
From: Larry on 5 Aug 2010 02:45
On Aug 3, 12:54 am, Gottfried Helms <he...(a)uni-kassel.de> wrote:
> Am 02.08.2010 22:45 schrieb Larry:
>
> > Not surprisingly, I have found a fatal flaw in my argument.  I
> > suspected that this would be the case.
>
> > It is Lemma 12 if anyone is interested.  I had made the claim that:
>
> > 3^(n-1) + 3^(n-2)*2^a_1 + 3^(n-3)*2^(a_1 + a_2) + ... + 3*2^(a_1 + ...
> > + a_{n-2}) + 2^(a_1 + ... + a_{n-1}) =
>
> > (3 + 2^(a_1))(3 + 2^(a_2))*...*(3 + 2^(a_{n-1}) - (3)(3 +
> > 2^(a_2))*...*(3 + 2&(a_{n-1}) - 3^(n-2)
>
> > Very sorry to have posted here when there was such an obvious
> > mistake.  I should have caught this myself before posting.
>
> > Thanks to everyone who responded to my posts!  I always appreciate
> > honesty.  :-)
>
> > -Larry
>
> Hi Larry -
>
>  good to see that.
>  I've taken a look into your text, and although there is a lot
>  of things I know from my own fiddlings, it was not easy for me
>  whaich of the 16 items was the crucial one, that step that
>  "no one before could solve"... I suspected it was around item 16
>
>  If you like you may look into my own treatize, where I -beginning
>  at the same path like you - arrived at a more general argument, which
>  too is not yet solved and eithercollatzimplies this (or vice versa)
>  See
>    http://go.helms-net.de/math/collatz/aboutloop/collloopintro_main.htm
>       (this is html, but only poorly formatted, and one of my first
>        hobby-treatizes on numbers at all)
>
>  or
>
>    http://go.helms-net.de/math/collatz/Collatz061102.pdf
>
>  which is more compact, better formatted - I'm doing another edition of
>  that text, but this is only 50% rewritten (and I don't know whether I
>  find the time to really proceed... :(   )
>
>  Regards -
>
> Gottfried Helms

Hi Gottfried,

Thanks very much for the feedback and the link! If so many people on
this alias had difficulty following my argument that strongly suggests
that I did not spend enough time making sure each point was clear. Of
course, if I had done that, I would have found my error that much
sooner. :-)

I will be glad to take a look at your paper on the Collatz
Conjecture.

Cheers,

-Larry

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