List questions from number-theory

Published on 25 Mar 2026 - 9:24

990

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$p^2-p+1$ is a perfect cube of a prime

Published on 13 Apr 2026 - 14:27

59

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Are there exactly $d$ distinct remainders when $x^{\frac{p-1}{d}}$ is divided by $p$?

Published on 15 Apr 2026 - 6:13

238

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How to prove that the numerator is divided by 101 $1+\frac{1}{2}+\ldots+\frac{1}{100}$

Published on 15 Apr 2026 - 7:03

65

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How many triplets $\left(m,n,p\right)$ where $p$ is a prime satisfy $2^mp^2+1=n^5$?

Published on 17 Apr 2026 - 11:25

89

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Prove or disprove that there exist $x_{i}$ such $\frac{\prod_{j=1,j\neq i}^{n}(x_{i}-x_{j})}{(n-1)!}\in Z$

Published on 15 Apr 2026 - 18:58

126

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Proof that no elliptic curve division polynomial is divisible by $y^2$

Published on 16 Apr 2026 - 0:26

183

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Why is 3 a Heegner number?

Published on 16 Apr 2026 - 8:56

2.1k

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Discriminant of $\mathbb{Q}(\sqrt{d})\big/\mathbb{Q}$ for square-free $d$.

Published on 16 Apr 2026 - 20:49

147

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Estimation of $\psi (n)$ in number theory

Published on 10 Apr 2026 - 22:48

40

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What's the name of the theorem? Is it Levi's?

Published on 15 Apr 2026 - 2:10

444

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Cyclic multiplicative group and quadratic residues

Published on 13 Apr 2026 - 18:44

111

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How to compute the order of (2, 3) on the elliptic curve y^2 = x^3 + 1?

Published on 15 Apr 2026 - 21:43

95

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Good reduction at all non-archimedean valuations

Published on 14 Apr 2026 - 4:58

157

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On Euler phi function

Published on 17 Apr 2026 - 3:36

List Question

Chinese Remainder Theorem whose modulus are not coprime

$p^2-p+1$ is a perfect cube of a prime

Are there exactly $d$ distinct remainders when $x^{\frac{p-1}{d}}$ is divided by $p$?

How to prove that the numerator is divided by 101 $1+\frac{1}{2}+\ldots+\frac{1}{100}$

How many triplets $\left(m,n,p\right)$ where $p$ is a prime satisfy $2^mp^2+1=n^5$?

Prove or disprove that there exist $x_{i}$ such $\frac{\prod_{j=1,j\neq i}^{n}(x_{i}-x_{j})}{(n-1)!}\in Z$

Proof that no elliptic curve division polynomial is divisible by $y^2$

Why is 3 a Heegner number?

Discriminant of $\mathbb{Q}(\sqrt{d})\big/\mathbb{Q}$ for square-free $d$.

Estimation of $\psi (n)$ in number theory

What's the name of the theorem? Is it Levi's?

Cyclic multiplicative group and quadratic residues

How to compute the order of (2, 3) on the elliptic curve y^2 = x^3 + 1?

Good reduction at all non-archimedean valuations

On Euler phi function

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