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(Solved): 5. Determine that True or False and explain why. (1) There exists always the least number ...
5. Determine that True or False and explain why. (1) There exists always the least number \( r \in Z^{+} \)such that \( a^{r} \equiv 1(\bmod m) \). (2) If \( g \) is a primitive root of \( m(\geq 3) \) then \( g^{1}+g^{2}+\cdots+g^{\varphi(m)} \equiv 0(\bmod m) \). (3) There is primitive root of 77 .
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Given two whole numbers An and M, find the particular multiplicative reverse of An under modulo M. The measured multiplicative reverse is a whole numb