# Thread: How can I proof my conjecture?

1. ## How can I proof my conjecture?

Hello everybody,
I'm trying to proof a certain conjecture I invented myself for quite a long time now but in fact I have no idea how to do this.
The conjecture says:
For the function
$\frac{a\cdot2^{c-d}}{2^{c}-3^{b}}$
with
$a=3^0\cdot2^{a_1}+3^1\cdot2^{a_2}+3^2\cdot2^{a_3}+...+3^{b-1}\cdot2^0$
$a_1 > a_2 > a_3 > a_4 > ... > 0$
a_1,a_2,a_3,a_4,... <d
and
$0\leq d\leq c$
exists no natural result exept form 1, 2 and 4.
I tried so hard to find an argument that proves this assumption but it didn't work so far. Has anybody an idea?
I would be really glad if there was somebody who could help me.