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- #1

- Mar 22, 2013

- 573

The NT is a little down on MHB lately. Let's try to do some stuffs to bring the class a wee bit back : prove that there are no nontrivial integer solutions to

$$x^3 + y^3 = z^3$$

Well, this is a decent and well-known diophantine form and there are many ways to prove it, not to mention assuming the more general FLT itself (but let's step aside from that, as it's too complicated and the margin on the form

Flood in, folks!

Edit : Okay, we need some rule since this case is a well-known one. How about "Only one solution from each participant". Have fun inventing new methods. Now you have to choose the methods you find fits best. I am evil, aren't I?

$$x^3 + y^3 = z^3$$

Well, this is a decent and well-known diophantine form and there are many ways to prove it, not to mention assuming the more general FLT itself (but let's step aside from that, as it's too complicated and the margin on the form

**is**too short)Flood in, folks!

Edit : Okay, we need some rule since this case is a well-known one. How about "Only one solution from each participant". Have fun inventing new methods. Now you have to choose the methods you find fits best. I am evil, aren't I?

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