Compute the remainder when:
56666...66665:(2016 sixies)
is divided by 17. Choose the correct option: A) 2 B) 3 C) 4 D) 5 E) 6
A neat fact: note that   55=- 565 =-5665=-56665 ... (mod 17) :   This is easier to recognize when written in the form   5 =-56 =-566=- 5666=- 56666 .... (mod 17),   since 10n + 6=- n (mod 17) when n=- 5 (mod 17). Then, since   56666...66665:(2016 sixies)(mod 17)   clearly 56666...66665:(2016 sixies)=4(mod 17).   correct answer 4
<result>C</result>
Compute the remainder when:
56666...66665:(2016 sixies)
is divided by 17.