Can u get the remainder ?

Algebra Level 2

Find the remainder of 5555^2222 divided by 7

5 6 0 2 1 4 3

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1 solution

Sarthak Gupta
May 9, 2015

By eulers phi function 5555^2222 / 7

= 5555^2 / 7 {rem}2222/6 = 2 by 7(phi)

=4^2 / 7 [rem]5555/7 =4 by 7

=16/7

=remainder is 2

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