euler quartic conjecture - Wolfram|Alpha

Uh oh! Wolfram|Alpha doesn't run without JavaScript.

Please enable JavaScript. If you don't know how, you can find instructionshere.Once you've done that, refresh this page to start using Wolfram|Alpha.

Input interpretation

Euler quartic conjecture

Definition

Euler (1772ab) conjectured that there are no positive integer solutions to the quartic Diophantine equation
A^4 = B^4 + C^4 + D^4.
This conjecture was disproved by Elkies, who found an infinite class of solutions.

More information »

Related terms

Diophantine equation--4th powers | Euler's sum of powers conjecture

POWERED BY THE WOLFRAM LANGUAGE