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Topic: conjecture
Replies: 17   Last Post: Apr 19, 2014 8:26 PM

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Posts: 54
Registered: 1/8/14
Posted: Apr 15, 2014 7:51 PM
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This is a conjecture.

Consider a,b co-prime positive numbers.
If a^2 -ab + b^2 is a cube of an integer, then possible candidates for (a,b) are
(a,b) = (1,1) or (-1,-1) or (1,0) or (-1,0) mod 18. (obviously a and b can be swapped).

Is there a proof for this?



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