Remainder

What will be the remainder if the the number 100000 0 3 1000000^{3} is divided by 143?

6 3 1 9 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

Otto Bretscher
May 1, 2016

1 0 18 ( 1 ) 18 = 1 ( m o d 11 ) 10^{18}\equiv (-1)^{18}=1 \pmod{11} and 1 0 18 1 0 6 6 12 1 ( m o d 13 ) 10^{18}\equiv 10^6\equiv 6^{12}\equiv 1 \pmod{13} by Fermat. The answer is 1 \boxed{1}

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...