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Re: exponential diophantine equations

• To: mathgroup at smc.vnet.net
• Subject: [mg62932] Re: exponential diophantine equations
• From: mike_in_england2000 at yahoo.co.uk
• Date: Thu, 8 Dec 2005 06:25:36 -0500 (EST)
• Organization: http://groups.google.com
• References: <dn8qs9$hj7$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

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!)
>

Hi Andrea

Have you typed out the equation incorrectly? For the equation you have
given x=31,k=6 gives 14 not 0

Mike