List questions from number-theory

Published on 26 Mar 2026 - 22:14

329

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Proving Index Law for negative power

Published on 15 Apr 2026 - 3:31

174

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Valuation ring of $K(\alpha)$ is $A[\alpha]$?

Published on 16 Apr 2026 - 0:43

55

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Can you explain the following property for arithmetic functions.

Published on 13 Apr 2026 - 2:29

237

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Proof that, for $a, b \in \mathbb{Z}$, $a \mathbb{Z} \subset b \mathbb{Z} \iff b \mid a$.

Published on 10 Apr 2026 - 11:02

224

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Series $\sum_{p \ prime}\frac{1}{1+p^2}$

Published on 15 Apr 2026 - 15:37

111

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Are these the smallest Poulet-numbers above $10^{16}$ and $10^{17}\ \ $?

Published on 25 Mar 2026 - 16:02

78

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Are there any $\ m\ $- superperfect numbers for $\ \ m>2\ \ $?

Published on 14 Apr 2026 - 22:25

153

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prove $\sum_p \frac{\log p}{p^s} = \int_{1}^{\infty}\frac{d\theta(x)}{x^s}$

Published on 25 Mar 2026 - 16:03

2.3k

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Existence and uniqueness of the cube root

Published on 14 Apr 2026 - 17:56

143

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Compact form of $\pi_k(x)$

Published on 10 Apr 2026 - 20:15

133

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Can we prove that $(\mathbb{Z}/p^{n}\mathbb{Z})^{\times}$ is a cyclic group by using $p$-adic integer?

Published on 25 Mar 2026 - 17:45

160

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Generating function for number of partitions with Rank and Crank

Published on 24 Apr 2026 - 7:19

3.8k

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What is countably infinite set?

Published on 11 Apr 2026 - 7:01

115

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Condition on integers $a,b$ such that $a^{1/b}$ is rational number

Published on 05 May 2026 - 12:51

List Question

Find the last digit of the integer $n = 29583^{206}$

Proving Index Law for negative power

Valuation ring of $K(\alpha)$ is $A[\alpha]$?

Can you explain the following property for arithmetic functions.

Proof that, for $a, b \in \mathbb{Z}$, $a \mathbb{Z} \subset b \mathbb{Z} \iff b \mid a$.

Series $\sum_{p \ prime}\frac{1}{1+p^2}$

Are these the smallest Poulet-numbers above $10^{16}$ and $10^{17}\ \ $?

Are there any $\ m\ $- superperfect numbers for $\ \ m>2\ \ $?

prove $\sum_p \frac{\log p}{p^s} = \int_{1}^{\infty}\frac{d\theta(x)}{x^s}$

Existence and uniqueness of the cube root

Compact form of $\pi_k(x)$

Can we prove that $(\mathbb{Z}/p^{n}\mathbb{Z})^{\times}$ is a cyclic group by using $p$-adic integer?

Generating function for number of partitions with Rank and Crank

What is countably infinite set?

Condition on integers $a,b$ such that $a^{1/b}$ is rational number

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