List questions from number-theory

Published on 06 Apr 2026 - 14:08

278

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Why did people constructed Quadratic Gauss Sum?

Published on 09 Apr 2026 - 6:16

210

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Least Euler-Jacobi Pseudoprime to several bases?

Published on 15 Apr 2026 - 21:20

61

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Basic question on quadratic fields

Published on 15 Apr 2026 - 22:32

125

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Regular languages: Prove $2^n + n < 2^{n+1}$ for $n \ge 1$

Published on 17 Apr 2026 - 5:31

670

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A single digit written $(p-1)-times$ is divisible by $p$.

Published on 13 Apr 2026 - 19:57

118

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Legendre Symbols and UFD

Published on 14 Apr 2026 - 16:29

83

Views

In proving that $\sqrt{a}$ is always irrational, $\forall a\in\left\{\Bbb R^+ : 1< a\neq b^2\right\}$... a different way.

Published on 12 Apr 2026 - 19:15

39

Views

RSA Weak key, i.e small modulus

Published on 12 Apr 2026 - 21:43

365

Views

Finite sum $\sum_{k=1}^{p-1} \frac{1-\cos\left(\frac{2\pi k r}{p}\right)}{1-\cos\left(\frac{2\pi k s}{p}\right)}$ for $\gcd(p,rs)=1$.

Published on 15 Apr 2026 - 16:37

128

Views

Improving clarity and argumentation with hard-to-describe combinatorial proof

Published on 12 Apr 2026 - 18:44

360

Views

What numbers are in the set $S$?

Published on 10 Apr 2026 - 16:35

59

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Are there only finite many n-tupels of factorials summing up to a non-trivial power?

Published on 09 Apr 2026 - 3:41

274

Views

How can a point on an elliptic curve be considered a galois cohomology class?

Published on 20 Apr 2026 - 3:08

219

Views

Finding number fields with certain decomposition group?

Published on 11 Apr 2026 - 11:08

List Question

Congruence involving Bernoulli numbers

Why did people constructed Quadratic Gauss Sum?

Least Euler-Jacobi Pseudoprime to several bases?

Basic question on quadratic fields

Regular languages: Prove $2^n + n < 2^{n+1}$ for $n \ge 1$

A single digit written $(p-1)-times$ is divisible by $p$.

Legendre Symbols and UFD

In proving that $\sqrt{a}$ is always irrational, $\forall a\in\left\{\Bbb R^+ : 1< a\neq b^2\right\}$... a different way.

RSA Weak key, i.e small modulus

Finite sum $\sum_{k=1}^{p-1} \frac{1-\cos\left(\frac{2\pi k r}{p}\right)}{1-\cos\left(\frac{2\pi k s}{p}\right)}$ for $\gcd(p,rs)=1$.

Improving clarity and argumentation with hard-to-describe combinatorial proof

What numbers are in the set $S$?

Are there only finite many n-tupels of factorials summing up to a non-trivial power?

How can a point on an elliptic curve be considered a galois cohomology class?

Finding number fields with certain decomposition group?

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