List questions from number-theory

Published on 16 Apr 2026 - 0:23

254

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if $ a_i$ does not divide $ \prod\limits_{i\ne j}{a_j}$ for all $ i$,prove that $ k\leq\pi(n).$

Published on 14 Apr 2026 - 3:38

94

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Computing $\pi_{et}(X,x)^{\operatorname{ab}}$

Published on 23 Apr 2026 - 9:14

574

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Computing the norm of a principal ideal in a quadratic number field

Published on 12 Apr 2026 - 18:03

241

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Quadratic Gauss sum for prime powers

Published on 11 Apr 2026 - 6:15

149

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Proving that no prime powers can be correct numbers

Published on 15 Apr 2026 - 11:52

1.4k

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How to show that cusp of congruence subgroup $\Gamma_0(4)$ is $0,\frac{1}{2},\infty$？

Published on 14 Apr 2026 - 17:54

119

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Mysterious zero

Published on 14 Apr 2026 - 9:58

110

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The effect of scalars on primitive Pythagorean triples

Published on 11 Apr 2026 - 9:48

419

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Divisors of the Euler totient function

Published on 11 Apr 2026 - 20:04

390

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Local Artin map and the Weil group

Published on 15 Apr 2026 - 21:32

167

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How to prove a polynomial cannot be factored?

Published on 10 Apr 2026 - 21:02

267

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Show that if $p$ is a prime such that $p|(2^{64}+1)$ then $p \equiv 1 $ (mod 128)

Published on 16 Apr 2026 - 1:51

283

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In the General Number Field Sieve, can we estimate the size of the matrix in terms of the number being factored?

Published on 22 Apr 2026 - 16:18

75

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A question on Euler Phi Function

Published on 11 Apr 2026 - 2:41

List Question

Find $16$ complex numbers $x + yi, x,y\in \mathbb{Z}$ with norm $N(x + yi) =65$

if $ a_i$ does not divide $ \prod\limits_{i\ne j}{a_j}$ for all $ i$,prove that $ k\leq\pi(n).$

Computing $\pi_{et}(X,x)^{\operatorname{ab}}$

Computing the norm of a principal ideal in a quadratic number field

Quadratic Gauss sum for prime powers

Proving that no prime powers can be correct numbers

How to show that cusp of congruence subgroup $\Gamma_0(4)$ is $0,\frac{1}{2},\infty$？

Mysterious zero

The effect of scalars on primitive Pythagorean triples

Divisors of the Euler totient function

Local Artin map and the Weil group

How to prove a polynomial cannot be factored?

Show that if $p$ is a prime such that $p|(2^{64}+1)$ then $p \equiv 1 $ (mod 128)

In the General Number Field Sieve, can we estimate the size of the matrix in terms of the number being factored?

A question on Euler Phi Function

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