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OpenStudy (lgbasallote):
let's see if you're as good as you claim to be @swissgirl Prove that there are no positive perfect cubes less 1000 that are the sum of the cubes of two positive integers
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OpenStudy (lgbasallote):
Note: no brute force substitution allowed
OpenStudy (anonymous):
can i use fermat?
OpenStudy (lgbasallote):
....isn't that like 30 pages long?
OpenStudy (lgbasallote):
.well according to urban myth anyway....
OpenStudy (anonymous):
actually the proof for the cases \(n=4\) is not too bad, really like pythagoras the proof for the case \(n=3\) is also doable the general case is well... you know that story study for 20 years and then come back and explain it to me
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OpenStudy (lgbasallote):
oh. so the one that's 30 pages long is a^n + b^n = c^n...well then how does n = 3 look like?
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