Mathematics, 24.08.2021 02:30, dairysoto9171
Given a prime $p$ and an integer $a$, we say that $a$ is a primitive root $\pmod p$ if the set $\{a, a^2,a^3,\ldots, a^{p-1}\}$ contains exactly one element congruent to each of $1,2,3,\ldots, p-1\pmod p$. For example, $2$ is a primitive root $\pmod 5$ because $\{2,2^2,2^3,2^4\}\equiv \{2,4,3,1\}\pmod 5$, and this list contains every residue from $1$ to $4$ exactly once. However, $4$ is not a primitive root $\pmod 5$ because $\{4,4^2,4^3,4^4\}\equiv\{4,1,4,1\} \pmod 5$, and this list does not contain every residue from $1$ to $4$ exactly once. What is the sum of all integers in the set $\{1,2,3,4,5,6\}$ that are primitive roots $\pmod 7$
Answers: 2
Mathematics, 21.06.2019 14:30, Naysa150724
Explain why the two figures below are not similar. use complete sentences and provide evidence to support your explanation. (10 points) figure abcdef is shown. a is at negative 4, negative 2. b is at negative 3, 0. c is at negative 4, 2. d is at negative 1, 2. e
Answers: 3
Given a prime $p$ and an integer $a$, we say that $a$ is a primitive root $\pmod p$ if the set $\{a,...
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