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New posts in divisibility
Proving $\gcd \left(\frac{a}{\gcd (a,b)},\frac{b}{\gcd (a,b)}\right)=1$
elementary-number-theory
proof-writing
divisibility
gcd-and-lcm
prove that $\operatorname{lcm}(n,m) = nm/\gcd(n,m)$
elementary-number-theory
divisibility
gcd-and-lcm
least-common-multiple
How can I find $\gcd(a^m+1,a^n+1)$ with $a,m,n$ positive integers?
elementary-number-theory
divisibility
Proof of $\gcd(a,b)=ax+by\ $ [Bezout's identity]
abstract-algebra
elementary-number-theory
proof-writing
divisibility
gcd-and-lcm
Proving prime $p$ divides $\binom{p}{k}$ for $k\in\{1,\ldots,p-1\}$
elementary-number-theory
discrete-mathematics
binomial-coefficients
divisibility
$c\mid a,b\iff c\mid\gcd(a,b)$ [GCD Universal Property]
elementary-number-theory
divisibility
gcd-and-lcm
How to show that $2730\mid n^{13}-n\;\;\forall n\in\mathbb{N}$
elementary-number-theory
divisibility
totient-function
If $\gcd(a,b)= 1$ and $a$ divides $bc$ then $a$ divides $c\ $ [Euclid's Lemma]
elementary-number-theory
divisibility
solution-verification
gcd-and-lcm
Derive a formula to find the number of trailing zeroes in $n!$ [duplicate]
elementary-number-theory
divisibility
factorial
decimal-expansion
If $\gcd(a,b)=1$, then $\gcd(a^n,b^n)=1$
elementary-number-theory
divisibility
gcd-and-lcm
Division of Factorials [binomal coefficients are integers]
elementary-number-theory
divisibility
factorial
multinomial-coefficients
Dividing 100% by 3 without any left
elementary-number-theory
divisibility
puzzle
problem-solving
How can we prove that a binomial coefficient $n\choose m$is divisible by the ratio of $n$ and $\gcd(n,m)$?
number-theory
binomial-coefficients
divisibility
If $\gcd(a,b)=1$ and $a$ and $b$ divide $c$, then so does $ab$
elementary-number-theory
divisibility
Proving that $\gcd(2^m - 1, 2^n - 1) = 2^{\gcd(m,n )} - 1$
elementary-number-theory
divisibility
How to prove the divisibility rule for $3\, $ [casting out threes]
elementary-number-theory
modular-arithmetic
divisibility
What is $\gcd(0,0)$?
elementary-number-theory
discrete-mathematics
divisibility
gcd-and-lcm
How to solve these two simultaneous "divisibilities" : $n+1\mid m^2+1$ and $m+1\mid n^2+1$
number-theory
elementary-number-theory
divisibility
diophantine-equations
congruences
Any rectangular shape on a calculator numpad when divided by 11 gives an integer. Why?
elementary-number-theory
divisibility
$a\mid b,\ c\mid d\,\Rightarrow\ ac\mid bd $ $\ \, \bf\small [Divisibility\ Product\ Rule]$
elementary-number-theory
divisibility
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