New posts in integers

Can we prove the existence of a gcd in $\mathbb Z$ without using division with remainder?

abstract-algebra divisibility integers

An upper bound for Summative Fission numbers

sequences-and-series elementary-number-theory asymptotics integers

Compute the kernel of the group hom $\Omega : \Bbb{Q}^{\times} \to \Bbb{Z}^+$.

group-theory prime-numbers integers rational-numbers group-homomorphism

Find all $a,b,c\in\mathbb{Z}_{\neq0}$ with $\frac ab+\frac bc=\frac ca$

diophantine-equations fractions integers

List of prime numbers in imaginary quadratic fields with UFD

ring-theory prime-numbers integers prime-factorization

Prove that $abc$ is a cube of some integer.

fractions integers

Relation between primeness and co-primeness of integers

number-theory logic prime-numbers integers coprime

A diophantine equation with unknown exponents: $ 4^n + 5^n = 7^m + 2^m $

exponential-function diophantine-equations integers

Diophantine equation power of 7 and 2

number-theory elementary-number-theory diophantine-equations integers exponential-diophantine-equations

Find all functions of positive integers for $f(f(n))=n+2$

induction functional-equations integers

Convert a piecewise linear non-convex function into a linear optimisation problem.

linear-algebra optimization linear-programming integers operations-research

Prove $k+1>k $ where $k$ is an integer

elementary-number-theory elementary-set-theory integers

Find the limit $\lim_{n\to\infty}\left(\sqrt{n^2+n+1}-\left\lfloor\sqrt{n^2+n+1}\right\rfloor\right)$ [duplicate]

sequences-and-series limits radicals integers ceiling-and-floor-functions

Is the sum of two distinct primes an injective function on integers?

number-theory prime-numbers integers

In how many ways can the integers from $1$ to $n$ be divided into two groups with the same sum?

combinatorics summation integers

Is there a less-trivial integer function with described properties?

functional-equations integers semiring

Prove integer remains $\mathbb{Z}_{n}$ after Division and Floor

elementary-number-theory computer-science integers ceiling-and-floor-functions

Does there exist integers $a, n > 1$ such that $1 + \frac{1}{1 + a} + \frac{1}{1 + 2a} + ... + \frac{1}{1 + na}$ is an integer?

combinatorics number-theory integers

Prove that $x^x+y^y=z^z$ doesn't have integer solutions

number-theory proof-verification contest-math exponentiation integers

Is $(\mathbb{Z},d)$ compact?

metric-spaces compactness integers p-adic-number-theory