List questions from number-theory

Published on 13 Apr 2026 - 10:47

42

Views

Is this a proper superset of Carmichael numbers?

Published on 25 Mar 2026 - 12:52

900

Views

Question on a proof that there are infinitely many primes

Published on 11 Apr 2026 - 11:53

719

Views

Find all triples $(p,x,y)$ such that $ p^x=y^4+4$

Published on 16 Apr 2026 - 19:07

180

Views

Solve $x^3-y^3-z^3=3^t \cdot 2xyz$

Published on 16 Apr 2026 - 6:54

456

Views

Is $\prod_{1\leq i< j\leq n} \frac{a_i - a_j}{i-j}$, with distinct integers $a_i$, an integer?

Published on 05 May 2026 - 8:30

276

Views

Prove that there are infinitely many primes $p$ such that $x^{10} + x + 1 \equiv 0 \mod p$ has at least one solution $x\in\mathbb{Z}$.

Published on 16 Apr 2026 - 0:43

121

Views

weaker upper bound of class number of O_k

Published on 03 May 2026 - 16:20

1.8k

Views

Are there 3 definitions of rectangular numbers?

Published on 09 Apr 2026 - 0:55

154

Views

p is prime. Show that there is at most one $(m,n) \in \mathbb Z^2$ with $0<m\le n$ that solves $p = m^2 + n^2$

Published on 16 Apr 2026 - 8:18

165

Views

What elements kill $1-\zeta_n$ in the group ring $\mathbb{Z}[G]$?

Published on 13 Apr 2026 - 14:54

61

Views

Group module morphism

Published on 12 Apr 2026 - 22:47

189

Views

$x^2=y^3+1$ has only 6 rational solutions.

Published on 16 Apr 2026 - 4:06

127

Views

Can an integer of a particular form be a perfect square?

Published on 13 Apr 2026 - 6:30

157

Views

Question about primes of the form $n^2+1$

Published on 14 Apr 2026 - 22:09

List Question

What is the multiplicative order of a product of two integers $\mod n$?

Is this a proper superset of Carmichael numbers?

Question on a proof that there are infinitely many primes

Find all triples $(p,x,y)$ such that $ p^x=y^4+4$

Solve $x^3-y^3-z^3=3^t \cdot 2xyz$

Is $\prod_{1\leq i< j\leq n} \frac{a_i - a_j}{i-j}$, with distinct integers $a_i$, an integer?

Prove that there are infinitely many primes $p$ such that $x^{10} + x + 1 \equiv 0 \mod p$ has at least one solution $x\in\mathbb{Z}$.

weaker upper bound of class number of O_k

Are there 3 definitions of rectangular numbers?

p is prime. Show that there is at most one $(m,n) \in \mathbb Z^2$ with $0<m\le n$ that solves $p = m^2 + n^2$

What elements kill $1-\zeta_n$ in the group ring $\mathbb{Z}[G]$?

Group module morphism

$x^2=y^3+1$ has only 6 rational solutions.

Can an integer of a particular form be a perfect square?

Question about primes of the form $n^2+1$

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