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Re: Open Call for Conjectures
Posted:
Aug 8, 2001 7:42 AM
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"Russell Harper" <rharper@intouchsurvey.com> wrote in message news://f69c7.51723$TW.260722@tor-nn1.netcom.ca... > > "James Wanless" <james@grok.ltd.uk> wrote in message > news://zv6c7.96601$_b4.7749900@news1.cableinet.net... > > Anybody got any conjectures about integers they want proven...? I'll > have a > > go at them [Relish a challenge, and run out of examples] > ... > > 1) Is there an upper limit for n such that: > > a^n + b^n + c^n = d^n > > where a, b, c, d, n are all positive integers? > > 2) If there exists a solution for a particular n, then are there > solutions for all positive integers m < n? > > Russell > http://euler.free.fr/
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