14132RE: [PrimeNumbers] Warming up process
- Dec 5 4:08 AM
> > like you to find some non-trivial solutions a la Paul Leyland and...
> > possibly even a formula to generate the solutions. (or even
> You ask for three integers, A,B,C, which are in arithmeticI would claim that my solution was completely trivial also. It took me
> and for which xA^3, yB^3 and zC^3 are all fourth powers.
> There's nothing
> magical about it.
> Take *any* three A,B,C in arithmetic progression. Then there are
well under five seconds to find it.
The arithmetic progression consisted of the values -1, 0, 1. Multiplying
these respectively a negative 4th power, any integer and a positive 4th power
yields a solution to the problem as posed.
Yes, we have undoubtedly been trolled.
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