Remainder 1

What is the remainder when 6 11 { 6 }^{ 11 } is divided by 17.


The answer is 5.

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1 solution

Vishwesh Agrawal
Dec 10, 2014

6^2=2(mod17) Therefore (6^2)^5 =2^5 (mod17) Therefore 6 ^10=32(mod17) 6→6^11=32 6(mod17) BUT 32=-2(mod17) _ 1 Therefore 6^11=-12(mod17) __ from 1 BUT -12= 5(mod17) Therefore 6^11=5 (mod17)

=Represents congruent to

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