New posts in divisibility

When is $\binom{n}{k}$ divisible by $n$?

combinatorics number-theory modular-arithmetic binomial-coefficients divisibility

Given a positive integer $t$ does there always exist a natural number $k$ such that $(k!)^2$ is a factor of $(2k-t)!$?

number-theory elementary-number-theory divisibility

Rules of thumb for divisibility

elementary-number-theory arithmetic divisibility

Elementary proof of Zsigmondy's theorem

elementary-number-theory reference-request prime-numbers divisibility cyclotomic-polynomials

Prove that $(mn)!$ is divisible by $(n!)\cdot(m!)^n$

combinatorics algebra-precalculus elementary-number-theory divisibility factorial

Prove if $a\mid b$ and $b\mid a$, then $|a|=|b|$ , $a, b$ are integers.

elementary-number-theory divisibility

Divisor in $\mathbb{C}[X]$ $\implies$ divisor in $\mathbb{R}[X]$?

polynomials divisibility

In what kind of rings a divisor of a product is a product of divisors?

ring-theory commutative-algebra soft-question terminology divisibility

Divisibility Rule for 7 using 315462

divisibility

Why (directly!) does every number divide 9, 99, 999, ... or 10, 100, 1000, ..., or their product? [duplicate]

elementary-number-theory divisibility rational-numbers

How to prove $\gcd(a^m,b^m) = \gcd(a,b)^m$ using Bézout's Lemma

diophantine-equations divisibility proof-verification

Prove that if $\gcd(a,b)=1$, then $\gcd(a^2,b^2)=1$

elementary-number-theory divisibility gcd-and-lcm

Showing that $a^n - 1 \mid a^m - 1 \iff n \mid m$

elementary-number-theory divisibility faq

Showing $\gcd(2^m-1,2^n+1)=1$

elementary-number-theory divisibility gcd-and-lcm

Why do some divisibility rules work only in base 10?

elementary-number-theory divisibility number-systems decimal-expansion

Proving there are an infinite number of pairs of positive integers $(m,n)$ such that $\frac{m+1}{n}+\frac{n+1}{m}$ is a positive integer

elementary-number-theory contest-math divisibility vieta-jumping

Divisibility rules and congruences

number-theory elementary-number-theory divisibility congruences

Do there exist two primes $p<q$ such that $p^n-1\mid q^n-1$ for infinitely many $n$?

number-theory elementary-number-theory divisibility

If $a^2$ divides $b^2$, then $a$ divides $b$ [duplicate]

elementary-number-theory divisibility

For which values of $a$ does $a-2 \mid a^3+4$ [closed]

elementary-number-theory arithmetic divisibility