Euler proposed that the equation
a4+b4+c4 =d4
had no solutions in integers (excluding the trivial 0,0,0 of course).
Nowadays, is it true or not?
(In reply to
re: Using the Internet (spoiler) by Steve Herman)
a. As far as I know this is the lowest triplet for (a, b, c)
b. My " had no solutions in integers (excluding the trivial 0,0,0 of course)"
Should be "had no solutions in positive integers" so that the disclaimer with zero values would be avoided.