Timeline for Rational solutions of the Fermat equation $X^n+Y^n+Z^n=1$

11 events

when toggle format	what		by	license	comment
May 16, 2018 at 22:23	answer	added	Thomas		timeline score: 2
Apr 22, 2016 at 13:53	answer	added	user90369		timeline score: 3
Dec 19, 2015 at 6:55	vote	accept	Jérémy Blanc
Dec 16, 2015 at 5:56	comment	added	Tito Piezas III		Also, for $n=5$, Desboves gave a nice solution in terms of complex numbers as, $$(a\sqrt{2}+b)^5 + (-b+c\sqrt{-2})^5 = (a\sqrt{2}-b)^5 + (b+c\sqrt{-2})^5$$ where $a^2+b^2 = c^2$.
Dec 15, 2015 at 9:20	answer	added	individ		timeline score: 3
Dec 15, 2015 at 3:44	comment	added	Tito Piezas III		For $n=4$, there is some updated data on, "More elliptic curves for $x^4+y^4+z^4 = 1$" in this post.
Dec 14, 2015 at 22:15	history	edited	Jérémy Blanc	CC BY-SA 3.0	deleted 172 characters in body
Dec 14, 2015 at 19:02	answer	added	Alexandre Eremenko		timeline score: 11
Dec 14, 2015 at 18:48	answer	added	Olivier Benoist		timeline score: 22
Dec 14, 2015 at 18:48	comment	added	Christian Elsholtz		In the integer case, with $n=4$ there is some info here, on a disproved conjecture of Euler, en.wikipedia.org/wiki/Euler%27s_sum_of_powers_conjecture Elkies had found examples. For $n\geq 5$ examples are known if one uses more variables. (I guess with 3 summands, $n\geq 5$ nothing is known)
Dec 14, 2015 at 18:37	history	asked	Jérémy Blanc	CC BY-SA 3.0