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Do primitive roots mod m always satisfy $\gcd(r^t,m)=1$?

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#elementary-number-theory #totient-function #primitive-roots
71
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Existence of primitive root satisfying a certain condition

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#elementary-number-theory #primitive-roots
74
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Relationships between the Orders of an element in a Cyclic group (multiplicative and additive) Relating to prime numbers

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#abstract-algebra #group-theory #number-theory #cyclic-groups #primitive-roots
36
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If $p$ is an odd prime with primitive root $1<r<p$, is $r$ also a primitive root modulo $p^2$?

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#primitive-roots
139
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Primitive roots mod divisor of an integer

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#elementary-number-theory #primitive-roots
251
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Solve congruence for unknown power

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#elementary-number-theory #modular-arithmetic #primitive-roots
477
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Primitive root modulo prime power

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#elementary-number-theory #modular-arithmetic #primitive-roots
68
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Understanding steps of calculating discriminants.

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#linear-algebra #matrices #polynomials #primitive-roots #discriminant
101
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Modular number theory problem

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#number-theory #modular-arithmetic #primitive-roots
292
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If $r$ (mod $p$) is a primitive root, then $r+p$ is also a primitive root mod p

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#elementary-number-theory #primitive-roots
397
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If $m|n$ and $a$ is a primitive root of $n$, show that $a$ is a primitive root of $m$ (understanding a tip)

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#number-theory #elementary-number-theory #prime-numbers #primitive-roots
35
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Uniqueness of values of automorphisms on a primitive root

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#abstract-algebra #primitive-roots
43
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Uniqueness of automorphisms on root

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#abstract-algebra #roots #primitive-roots
77
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This is a question in number theory. It seemed I can't start the proof.

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#elementary-number-theory #proof-writing #modular-arithmetic #primitive-roots
111
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Congruence with powers and primitive roots

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#modular-arithmetic #primitive-roots

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