Solving Diophantine Equations

*To*: mathgroup at smc.vnet.net*Subject*: [mg61185] Solving Diophantine Equations*From*: "Diana" <diana53xiii at earthlink.remove13.net>*Date*: Wed, 12 Oct 2005 01:42:11 -0400 (EDT)*Reply-to*: "Diana" <diana53xiii at earthlink.remove13.net>*Sender*: owner-wri-mathgroup at wolfram.com

Math group, I am trying to start doing numerical solving of Diophantine Equations. I want to do extensive calculations, but the kernel aborts for lack of memory. For example, the following command aborts midstream: Table[If[(x^3-1)/(x-1)==(y^n-1)/(y-1) && x!=y, {{x,y,n},}],{x,2,1000},{y,2,1000},{n,1,1001,2}] I have tried doing many smaller steps, but then I have a very long file of multiple commands. Would you make a suggestion as to how to process these solving commands with large values of the variables? Thanks, Diana -- ===================================================== "God made the integers, all else is the work of man." L. Kronecker, Jahresber. DMV 2, S. 19.

**Follow-Ups**:**Re: Solving Diophantine Equations***From:*Andrzej Kozlowski <andrzej@yhc.att.ne.jp>