10 Oct
2020
10 Oct
'20
7:59 a.m.
1) What are the arguments for/against the existence of generalized taxicab numbers A^n + B^n = C^n + D^n ? 2) Is there a reason to believe that these should exist only for finitely many values of n ≥ 1 and positive A, B, C, D ??? 3) And what if (for odd n) A, B, C, D are allowed to be negative??? —Dan ----- On Fri, Oct 9, 2020 at 12:06 PM Frank Stevenson < frankstevensonmobile@gmail.com> wrote: As a programming exercise I just finished a search for a solution A⁵ + B⁵ = C⁵ + D⁵ for numbers up to 4.25e37 ( 2 ^ 125 ) but did not find anything. ... ... -----