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Exercise 34 from Needham Visual Complex Analysis 1. Cyclotomic polynomial for the pth (p prime )root of unity

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#complex-analysis #polynomials #primitive-roots
170
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Smallest prime $p$ which every integer $< n$ is a primitive root $\mod p$

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#number-theory #primitive-roots
124
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On multiplicative and additive properties of cyclotomic polynomials

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#polynomials #roots-of-unity #primitive-roots #cyclotomic-polynomials #big-picture
78
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Showing two different definitions of a primitive root are the same

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#group-theory #number-theory #elementary-number-theory #primitive-roots
705
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Prove $\sum\limits_{j=1}^{p-1} j\left(\frac{j}{p}\right) = 0 $ for an odd prime $p$ with $p\equiv 1\text{ mod } 4$

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#elementary-number-theory #prime-numbers #quadratic-residues #primitive-roots #quadratic-reciprocity
88
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must a primitive root be invertible?

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#elementary-number-theory #primitive-roots
1.9k
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Efficient algorithms for Primitive roots where time-complexity is $\leq O(\sqrt{n})$

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#prime-numbers #algorithms #primitive-roots
71
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Question related to N-th cyclotomic polynomial, principal N-th root of unity and residue class of X

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#finite-fields #cryptography #primitive-roots #cyclotomic-polynomials
403
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How to show the $p$ minus primitive root is also a primitive root for $p \equiv1 \pmod {4}$

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#number-theory #elementary-number-theory #primitive-roots
138
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Find a primitive root of (a) $U(\mathbb{Z}/121\mathbb{Z})$, and (b) $U(\mathbb{Z}/18\mathbb{Z})$

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#elementary-number-theory #cyclic-groups #primitive-roots
83
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How to calculate the cardinality of following set

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#group-theory #summation #finite-fields #cardinals #primitive-roots
1.4k
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Primitive Roots mod a prime number

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#elementary-number-theory #primitive-roots
754
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Determine if a number is a primitive root

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#elementary-number-theory #primitive-roots
129
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When does a prime divide the sum of its primitive roots?

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#number-theory #elementary-number-theory #summation #prime-numbers #primitive-roots
64
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Why the result is not $0$?

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#primitive-roots

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