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

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Russell Harper

Posts: 216
Registered: 12/8/04
Re: Open Call for Conjectures
Posted: Aug 8, 2001 7:12 AM
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"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









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