List questions from number-theory

Published on 23 Apr 2026 - 9:33

249

Views

Product of $k$ distinct positive integers is divisible by its sum

Published on 05 May 2026 - 5:45

55

Views

How to minimize the cardinality of the intersection of two sets of pairs from a cyclic group?

Published on 14 Apr 2026 - 3:30

1.4k

Views

Resolvent Cubic of Quartic Polynomial

Published on 14 Apr 2026 - 7:11

2.8k

Views

On Lame's Theorem

Published on 14 Apr 2026 - 9:05

76

Views

Show equivalence with Legendre symbol

Published on 27 Mar 2026 - 0:02

743

Views

Last digit of sequence of numbers

Published on 11 Apr 2026 - 19:34

471

Views

Is there a good criterion to determine if a polynomial with integer or rational coefficients is irreducible over the field of p-adic numbers?

Published on 12 Apr 2026 - 23:50

356

Views

Dissecting the complexity of prime numbers

Published on 11 Apr 2026 - 21:19

113

Views

What can be learned for number theory from geometrical constructions (and vice versa)?

Published on 20 Apr 2026 - 20:44

146

Views

Continued Fraction of $ \frac{7 + 2 \sqrt{2}}{9 + \;\,\sqrt{2}}$ with coefficients in $\mathbb{Z}[\sqrt{2}]$

Published on 14 Apr 2026 - 4:59

597

Views

If $a,b$ are positive integers such that $a^{n}+n$ divides $b^{n}+n$ for every $n$, then $a=b$

Published on 16 Apr 2026 - 22:16

100

Views

A primitive Pythagorean triple

Published on 13 Apr 2026 - 14:25

364

Views

Condition for fractional ideals to be isomorphic in a Dedekind domain

Published on 14 Apr 2026 - 15:41

174

Views

Are there only finitely many number fields with given prime factors of discriminant?

Published on 12 Apr 2026 - 8:01

List Question

A problem inspired by the Twin Prime conjecture

Product of $k$ distinct positive integers is divisible by its sum

How to minimize the cardinality of the intersection of two sets of pairs from a cyclic group?

Resolvent Cubic of Quartic Polynomial

On Lame's Theorem

Show equivalence with Legendre symbol

Last digit of sequence of numbers

Is there a good criterion to determine if a polynomial with integer or rational coefficients is irreducible over the field of p-adic numbers?

Dissecting the complexity of prime numbers

What can be learned for number theory from geometrical constructions (and vice versa)?

Continued Fraction of $ \frac{7 + 2 \sqrt{2}}{9 + \;\,\sqrt{2}}$ with coefficients in $\mathbb{Z}[\sqrt{2}]$

If $a,b$ are positive integers such that $a^{n}+n$ divides $b^{n}+n$ for every $n$, then $a=b$

A primitive Pythagorean triple

Condition for fractional ideals to be isomorphic in a Dedekind domain

Are there only finitely many number fields with given prime factors of discriminant?

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