Find the remainder

Number Theory Level pending

Find the remainder when 5 66 5^{66} is divided by 67.


The answer is 1.

Bhargav Y by Bhargav Y , 18, India

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

Harsh Khatri
Feb 20, 2016

5 66 ≡ 5 ϕ ( 67 ) ≡ 1 ( m o d 67 ) 5^{66} \equiv 5^{\phi(67)} \equiv \boxed{1} \pmod{67}

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...