Remainder

Find the remainder when 2 32 2^{32} is divided by 641


The answer is 640.

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1 solution

Pavneet Oberoi
Sep 15, 2017

2^32mod64=(2^32mod641×5^4mod64)÷5^4mod641 =(2^32×5^4mod641)÷625mod641 =(640^4×2^4mod641)÷(-16)mod641 =(-1)^4×16mod641÷(-16)mod641 =16/-16mod641 =-1mod641 =640mod641

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