List questions from number-theory

Published on 09 Apr 2026 - 3:40

71

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Integral converges "$UZg$ is closed in $G$"

Published on 09 Apr 2026 - 1:57

5.6k

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Pythagorean triples that "survive" Euler's totient function

Published on 25 Mar 2026 - 6:18

695

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How to solve this problem in the image below

Published on 12 Apr 2026 - 13:29

135

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Near-abc conjecture and counter examples.

Published on 12 Apr 2026 - 6:24

38

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$(nm)$th prime is less than the $m$th power of $n$th prime

Published on 28 Mar 2026 - 23:59

174

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General formula for the $n^{\rm th}$ Smarandache number

Published on 20 Feb 2018 - 13:37

203

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Positive integer $x$ such that $\sqrt{144+x^2}$is an integer

Published on 20 Feb 2018 - 16:11

106

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$\sum_{p\leq n}\sum_{q\leq N}\sum_{n\leq N;p|n,q|n}1=^? \sum_{pq \leq N}\big( \frac N{pq}+O(1)\big)+\sum_{p \leq N}\big( \frac N{p}-\frac N{p^2}\big)$

Published on 26 Mar 2026 - 8:02

97

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Is $7+13k$ ever a perfect square (for $k$ in $Z$)? (Part of a question regarding modulus)

Published on 12 Apr 2026 - 8:44

229

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$Var[w]=O(\log\log(N))$ where $w(n)$ is the no of prime divisors of $n$

Published on 09 Apr 2026 - 3:41

357

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Binomial coefficient: Search for multiples of 13

Published on 25 Mar 2026 - 7:54

394

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The $2n$-digit number divisible by the product of two numbers within itself

Published on 25 Mar 2026 - 3:21

186

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Show that set of $2\times 2$ matrices with entries in $\mathbb{Z}/p\mathbb{Z}$ is a group

Published on 11 Apr 2026 - 2:51

266

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Integer solutions for $x^3=y^2+5$

Published on 09 Apr 2026 - 4:08

List Question

$\sigma(n) \equiv 1 \space \pmod{n}$ if and only if $n$ is prime

Integral converges "$UZg$ is closed in $G$"

Pythagorean triples that "survive" Euler's totient function

How to solve this problem in the image below

Near-abc conjecture and counter examples.

$(nm)$th prime is less than the $m$th power of $n$th prime

General formula for the $n^{\rm th}$ Smarandache number

Positive integer $x$ such that $\sqrt{144+x^2}$is an integer

$\sum_{p\leq n}\sum_{q\leq N}\sum_{n\leq N;p|n,q|n}1=^? \sum_{pq \leq N}\big( \frac N{pq}+O(1)\big)+\sum_{p \leq N}\big( \frac N{p}-\frac N{p^2}\big)$

Is $7+13k$ ever a perfect square (for $k$ in $Z$)? (Part of a question regarding modulus)

$Var[w]=O(\log\log(N))$ where $w(n)$ is the no of prime divisors of $n$

Binomial coefficient: Search for multiples of 13

The $2n$-digit number divisible by the product of two numbers within itself

Show that set of $2\times 2$ matrices with entries in $\mathbb{Z}/p\mathbb{Z}$ is a group

Integer solutions for $x^3=y^2+5$

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