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New posts in divisibility
When does $x + x^{-1}$ divide $x^n +x^{-n}$?
elementary-number-theory
solution-verification
modular-arithmetic
contest-math
divisibility
Decimal/hex palindromes: why multiples of 53?
elementary-number-theory
divisibility
palindrome
Proof that if $\gcd(a,b) = 1$ and $a\mid n$ and $b\mid n$, $ab \mid n$
elementary-number-theory
divisibility
What is the highest power of 3 that divides a string of 3^2013 digit 3s?
elementary-number-theory
contest-math
divisibility
Is this proof of $a^{1/2}$ being either integer or irrational circular/incorrect?
number-theory
elementary-number-theory
divisibility
How can I tell if a number in base 5 is divisible by 3?
elementary-number-theory
modular-arithmetic
divisibility
number-systems
Prove $\gcd(a+b,a^2+b^2)$ is $1$ or $2$ if $\gcd(a,b) = 1$
elementary-number-theory
divisibility
gcd-and-lcm
$3^n$ does not divide $4^n+5$ for $n\geq 2$
arithmetic
divisibility
exponentiation
p-adic-number-theory
Diophantine equation $ax + by = c$ has an integer solution $x_0, y_0$ if and only if $\gcd(a,b)|c$
elementary-number-theory
discrete-mathematics
diophantine-equations
divisibility
Prove the converse of Wilson's Theorem [duplicate]
elementary-number-theory
prime-numbers
modular-arithmetic
divisibility
Shorter proof of irrationality of $\sqrt{2}$?
elementary-number-theory
divisibility
radicals
prime-factorization
rationality-testing
Find m and n where m + n = 72, and gcd (m , n) = 9 [duplicate]
elementary-number-theory
divisibility
Partitioning $\{1,2,\ldots,k\}$ into $p$ subsets with equal sums, where $p$ is prime
combinatorics
elementary-number-theory
discrete-mathematics
contest-math
divisibility
Prove that if a, b, x, y are integers with ax + by = gcd(a, b) then gcd(x,y)= 1 [closed]
euclidean-geometry
divisibility
$n^5-n$ is divisible by $10$?
algebra-precalculus
elementary-number-theory
divisibility
If $b$ is a divisor of $a^2 - a + 1$, can $a$ be a divisor of $b^2 - b + 1$
algebra-precalculus
number-theory
elementary-number-theory
prime-numbers
divisibility
Example of a domain where all irreducibles are primes and that is not a GCD domain
ring-theory
divisibility
principal-ideal-domains
unique-factorization-domains
Prime factors + number of Divisors
divisibility
prime-factorization
Prove that $\gcd(3^n-2,2^n-3)=\gcd(5,2^n-3)$
elementary-number-theory
contest-math
divisibility
gcd-and-lcm
Prove $a {a+b \choose b}$ divides the lowest common multiple of $b+1, b+2, ..., b+a$
elementary-number-theory
binomial-coefficients
divisibility
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