Re: exponential diophantine equations
- To: mathgroup at smc.vnet.net
- Subject: [mg62931] Re: [mg62922] exponential diophantine equations
- From: Andrzej Kozlowski <akoz at mimuw.edu.pl>
- Date: Thu, 8 Dec 2005 06:25:35 -0500 (EST)
- References: <200512080827.DAA17940@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
On 8 Dec 2005, at 17:27, Andrea wrote:
>
> I'm trying to find out how to use Mathematica to find solutions to
> exponential diophantine equations like the following:
>
> (5x)^2 - 2^k * 3 * (5+k)^2 - 131 * k + 7 = 0. I want to
> obtain
> solutions for x and k. (One solution is x = 31, k = 6, but I didn't
> find
> this using Mathematica!)
Are you sure you have found a solution? I get:
In[30]:=
(5x)^2 - 2^k * 3 * (5+k)^2 - 131 * k + 7 /.{x->31,k->6}
Out[30]=
14
One can certianly try some "educated searches" but before starting it
woudl be better to be sure that this is really the equation you want
to solve!
Andrzej Kozlowski
- References:
- exponential diophantine equations
- From: Andrea <andrea@radargift.com>
- exponential diophantine equations