List questions from number-theory

Published on 11 Apr 2026 - 19:32

173

Views

Powers of $2$ in multiplicative groups of odd composite modulus

Published on 11 Apr 2026 - 10:04

113

Views

Its true or false? $1^7 + 7^7 + 4^7 + 1^7 + 7^7 + 2^7 + 5^7 < 1741725$

Published on 25 Mar 2026 - 14:14

134

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Transcendence of algebraic numbers with Transcendental power

Published on 09 Apr 2026 - 1:15

88

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Is the image of polynomial map of a box convex?

Published on 01 Apr 2026 - 14:03

99

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A conjecture concerning primes and perhaps prime gaps

Published on 09 Apr 2026 - 4:30

1.2k

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Solve in $\mathbb{Z}$ the equation $x^4 + 1 = 2y^2$.

Published on 08 Apr 2026 - 23:43

116

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Why is $\sum_{j^2\leq \sqrt x} \mu(j)[\frac x {j^2}]=x\sum_{j^2\leq \sqrt x}\frac {\mu(j)} {j^2}+ O(\sqrt x)$?

Published on 29 Mar 2026 - 7:33

108

Views

Landau's comment on validity of Goldbach's conjecture

Published on 10 Apr 2026 - 9:13

60

Views

How to make the arithmetic progression contain infinitely many primes by adding a rational number to common difference?

Published on 26 Mar 2026 - 1:46

116

Views

Cyclic Quartic Extension

Published on 25 Mar 2026 - 20:09

176

Views

Covering systems for integers vs. natural numbers

Published on 29 Mar 2026 - 15:52

975

Views

What are the different subjects in number theory to do research?

Published on 06 Apr 2026 - 11:54

194

Views

Does $\operatorname*{\exists}\limits^{\infty} f(n) :$ prime?

Published on 24 Mar 2026 - 23:44

112

Views

Find $a, b \in \mathbb{N} $ such that $\frac{1}{a}+\frac{1}{b} +\frac{1}{(a,b)}+\frac{1}{[a,b]}=\frac{1}{2}$

Published on 29 Mar 2026 - 6:49

List Question

Jacobi Triple product : a special case

Powers of $2$ in multiplicative groups of odd composite modulus

Its true or false? $1^7 + 7^7 + 4^7 + 1^7 + 7^7 + 2^7 + 5^7 < 1741725$

Transcendence of algebraic numbers with Transcendental power

Is the image of polynomial map of a box convex?

A conjecture concerning primes and perhaps prime gaps

Solve in $\mathbb{Z}$ the equation $x^4 + 1 = 2y^2$.

Why is $\sum_{j^2\leq \sqrt x} \mu(j)[\frac x {j^2}]=x\sum_{j^2\leq \sqrt x}\frac {\mu(j)} {j^2}+ O(\sqrt x)$?

Landau's comment on validity of Goldbach's conjecture

How to make the arithmetic progression contain infinitely many primes by adding a rational number to common difference?

Cyclic Quartic Extension

Covering systems for integers vs. natural numbers

What are the different subjects in number theory to do research?

Does $\operatorname*{\exists}\limits^{\infty} f(n) :$ prime?

Find $a, b \in \mathbb{N} $ such that $\frac{1}{a}+\frac{1}{b} +\frac{1}{(a,b)}+\frac{1}{[a,b]}=\frac{1}{2}$

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