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If $g$ is a primitive root, show that $a$ is a $d$th power $\iff$ $a\equiv g^{kd}$

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#number-theory #elementary-number-theory #modular-arithmetic #congruences #primitive-roots
103
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Multiplicative order: an exercise

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#number-theory #elementary-number-theory #primitive-roots
902
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Proof of Fermat's Little Theorem using Primitive Roots

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#elementary-number-theory #proof-verification #primitive-roots
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How to prove 2 is a primitive root mod 37, without calculating all powers of 2 mod 37?

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#number-theory #modular-arithmetic #primitive-roots
78
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About primitive roots.

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#elementary-number-theory #primitive-roots
592
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About primitive roots and square free numbers.

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#congruences #primitive-roots
1.8k
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How many primitive elements does GF(256) have?

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#polynomials #coding-theory #primitive-roots
81
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If p is an odd prme and (t,p) = 1, then $t^2$ is not a primitive root $\pmod p$

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#number-theory #primitive-roots
8.6k
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Primitive elements of GF(8)

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#linear-algebra #polynomials #coding-theory #primitive-roots
867
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primitive root mod25

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#modular-arithmetic #primitive-roots
80
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Show all primitive roots can be obtained from this fixed primitive root.

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#elementary-number-theory #primitive-roots
1k
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Proof of $\log_{a}(b_1b_2) = \log_{a}(b_1) + \log_{a}(b_2) $ for discrete logarithm?

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#elementary-number-theory #cryptography #primitive-roots #discrete-logarithms
5.1k
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Proving a number has no primitive roots

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#primitive-roots
53
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Primitive roots for a number

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#elementary-number-theory #modular-arithmetic #primitive-roots
84
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Fermat's Little Theorem - Prim. Root - Find x

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#prime-numbers #modular-arithmetic #primitive-roots

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