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We know that $6^3 = 5^3 + 4^3 + 3^3$ and $422481^4=414560^4+217519^4+95800^4$ (due to Roger Frye, 1988). But does $w^n = x^n + y^n + z^n$ have non-trivial solutions for $n>4$? By non-trivial I mean that all terms are distinct positive integers.

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    $\begingroup$ mathoverflow.net/questions/226093/… $\endgroup$
    – individ
    Apr 8, 2020 at 8:09
  • $\begingroup$ Wow thank you!! $\endgroup$ Apr 8, 2020 at 8:28
  • $\begingroup$ @individ the answer you linked to doesn't work as it involves imaginary numbers. I am looking for real integer solutions here. $\endgroup$ Apr 8, 2020 at 10:16
  • $\begingroup$ I'm voting to close this question as off-topic because it has been answered on MathOverflow. It is a good question, but we try to keep duplication to a minimum. $\endgroup$
    – davidlowryduda
    Apr 8, 2020 at 13:24

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