Skip to main content
MathOverflow

You are not logged in. Your edit will be placed in a queue until it is peer reviewed.

We welcome edits that make the post easier to understand and more valuable for readers. Because community members review edits, please try to make the post substantially better than how you found it, for example, by fixing grammar or adding additional resources and hyperlinks.

Required fields*

10
  • 9
    $\begingroup$ What kind of weird messed-up language is your example written in? We're not on CodeGolf here, readability isn't considered a defect. $\endgroup$ Commented Nov 26, 2020 at 17:11
  • 2
    $\begingroup$ For $n = 4$ there are no solutions with $a, b \le 10^4$. I strongly suspect there are no solutions at all. (The folks at CodeGolf might be a bit unhappy if you challenge them to find an object which doesn't exist.) $\endgroup$ Commented Nov 26, 2020 at 18:13
  • 3
    $\begingroup$ Did you follow the links at that older question, card? In particular, the link to Noam Elkies' computations? $\endgroup$ Commented Nov 26, 2020 at 22:24
  • 1
    $\begingroup$ I think it's worth digging in, to get some idea of how unlikely one is to find any non-trivial examples of $a^n+b^n=c^n\pm1$ for $n\ge4$. $\endgroup$ Commented Nov 26, 2020 at 22:42
  • 1
    $\begingroup$ @JohnD.Cook The first line of the linked answer: “ A 4-variable version of the infamous ABC Conjecture says the following:” $\endgroup$ Commented Nov 29, 2020 at 13:39