List questions from number-theory

Published on 15 Apr 2026 - 19:35

65

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Prove that there are no two integers $a$ and $b$, such that $\frac{a}{b}$ is non-terminating and non-recurring number

Published on 16 Apr 2026 - 0:43

163

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Number theory: Divisibility in block of any size

Published on 15 Apr 2026 - 6:09

90

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Multi-dimensional Stern-Brocot tree

Published on 15 Apr 2026 - 22:07

91

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Let $p$ be prime and $n\mid p-1$. Let $gcd(a,p)=1$, and $a^{(p-1)/n} \equiv 1 \mod p$. Show that there are $n$ solutions to $x^n \equiv a \mod p$.

Published on 17 Apr 2026 - 1:05

526

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A conjecture about big prime numbers

Published on 12 Apr 2026 - 1:38

61

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How do find integer solutions to this special linear system?

Published on 11 Apr 2026 - 6:52

413

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$x^k\equiv1 \pmod{p}$ for all nonzero $x$, then $p-1$ divides $k$

Published on 15 Apr 2026 - 23:54

154

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prove that there exists no integer in $\pm\frac1k \pm \frac1{k+1}\pm\frac1{k+2}...\pm\frac1{k+n} $

Published on 16 Apr 2026 - 23:21

1.7k

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How to Guess This Game's Number Mathematically?

Published on 13 Apr 2026 - 3:55

371

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Maximal extension of $\mathbb Q$ unramified outside a finite set of primes

Published on 29 Apr 2026 - 12:15

234

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Non-free rings of integers

Published on 15 Apr 2026 - 0:23

174

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Hint on proof of convergence of Dedekind zeta function

Published on 09 Apr 2026 - 15:36

147

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about square elements in finite field

Published on 10 Apr 2026 - 6:11

333

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Calculating the degree of some extension of $\mathbb{Q}_3$

Published on 16 Apr 2026 - 6:11

List Question

Number Theory: Divisibility on a set of consecutive integers

Prove that there are no two integers $a$ and $b$, such that $\frac{a}{b}$ is non-terminating and non-recurring number

Number theory: Divisibility in block of any size

Multi-dimensional Stern-Brocot tree

Let $p$ be prime and $n\mid p-1$. Let $gcd(a,p)=1$, and $a^{(p-1)/n} \equiv 1 \mod p$. Show that there are $n$ solutions to $x^n \equiv a \mod p$.

A conjecture about big prime numbers

How do find integer solutions to this special linear system?

$x^k\equiv1 \pmod{p}$ for all nonzero $x$, then $p-1$ divides $k$

prove that there exists no integer in $\pm\frac1k \pm \frac1{k+1}\pm\frac1{k+2}...\pm\frac1{k+n} $

How to Guess This Game's Number Mathematically?

Maximal extension of $\mathbb Q$ unramified outside a finite set of primes

Non-free rings of integers

Hint on proof of convergence of Dedekind zeta function

about square elements in finite field

Calculating the degree of some extension of $\mathbb{Q}_3$

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