Cubics

Find the number of integer solutions of

x 3 + y 3 + z 3 = 5555555555 x^3+y^3+z^3 = 5555555555


The answer is 0.

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Math Man
Aug 29, 2015

x^3 = -1,0,1 mod 9 so the sum is -3,-2,-1,0,1,2,3 mod 9 but 555 555 555 5 is 5 mod 9 = -4 mod 9 , so there is no solution

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...