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Topic: Open Call for Conjectures
Replies: 23   Last Post: Aug 13, 2001 5:29 AM

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Tapio Hurme

Posts: 853
Registered: 12/8/04
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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