Remainders Are Easy!

What is the remainder when 1 9 92 19^{92} is divided by 92.

49 0 1 4 7 23 9

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1 solution

Dev Sharma
Aug 23, 2015

E(92) = 44

19^44 = 1 mod92

19^88 = 1 mod92

(19^2)^2 = (-7)^2 = 49 mod92

Did same :)

Priyanshu Mishra - 5 years, 7 months ago

I didn't understand the first line

Mr Yovan - 5 years, 7 months ago

Exactly...Nice Standard solution

A Former Brilliant Member - 5 years, 6 months ago

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