List questions from number-theory

Published on 25 Mar 2026 - 10:36

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Maximal unramified extension of p-adic numbers

Published on 10 Apr 2026 - 14:25

94

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Zeta function and a strange set.

Published on 10 Apr 2026 - 2:34

90

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Let $A(x) = \sum_{n\leq x} a(n)$, is it possible that $A(x) = π(x) + O(\sqrt x)$

Published on 25 Mar 2026 - 13:56

773

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$(x+1)^n \equiv x^n +1 \mod n$ iff $n$ is prime

Published on 25 Mar 2026 - 1:31

145

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Show that if $x, y, \sqrt{x} + \sqrt{y}∈ \mathbb Q$ then $\sqrt{x}, \sqrt{y} ∈ \mathbb Q$

Published on 25 Mar 2026 - 6:05

138

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We know that $2^0$=1 but why $(-2)^0$=not 1

Published on 09 Apr 2026 - 8:47

106

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Constructing a solenoid to satisfy its universal property as a projective limit over circles

Published on 11 Apr 2026 - 21:54

87

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The sum of the solutions of $x^3 ≡ 8 \mod q$.

Published on 30 Mar 2026 - 23:40

542

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Prove that $n\sqrt{n}∈O(n^2)$

Published on 25 Mar 2026 - 17:43

243

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On a conjecture and other numbers like $144$.

Published on 25 Mar 2026 - 1:23

1.7k

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Square root by odd number sequence

Published on 11 Apr 2026 - 17:09

385

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Visualize ideals in number fields

Published on 09 Apr 2026 - 1:32

221

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What do we know about Lucas sequence entry points?

Published on 09 Apr 2026 - 2:49

116

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Good upper bound of $\lfloor n\log_2 n\rfloor$ (or $\lfloor \frac{n\log_2 n}{2}\rfloor$)?

Published on 07 Apr 2026 - 11:18

List Question

Coset representatives in the quotient of ring of integers

Maximal unramified extension of p-adic numbers

Zeta function and a strange set.

Let $A(x) = \sum_{n\leq x} a(n)$, is it possible that $A(x) = π(x) + O(\sqrt x)$

$(x+1)^n \equiv x^n +1 \mod n$ iff $n$ is prime

Show that if $x, y, \sqrt{x} + \sqrt{y}∈ \mathbb Q$ then $\sqrt{x}, \sqrt{y} ∈ \mathbb Q$

We know that $2^0$=1 but why $(-2)^0$=not 1

Constructing a solenoid to satisfy its universal property as a projective limit over circles

The sum of the solutions of $x^3 ≡ 8 \mod q$.

Prove that $n\sqrt{n}∈O(n^2)$

On a conjecture and other numbers like $144$.

Square root by odd number sequence

Visualize ideals in number fields

What do we know about Lucas sequence entry points?

Good upper bound of $\lfloor n\log_2 n\rfloor$ (or $\lfloor \frac{n\log_2 n}{2}\rfloor$)?

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