# New post in Divisibility

## Find the remainder when $9^{16} - 5^{16}$ is divided by $14$.

December 22nd, 2022

## Prove: For a,b,c positive integers, ac divides bc if and only if a divides b

December 10th, 2022

August 9th, 2022

## Find all positive integers $n$ such that $n^4 − 1$ is divisible by 5.

November 4th, 2020

July 31st, 2020

April 27th, 2020

## Prove that if $2|(x^2-1)$, then $8|(x^2-1)$.

December 10th, 2020

## For all integers a, b, c, if a | b and b | c then a | c.

October 25th, 2020

August 1st, 2022

## how to find the integer values?

January 29th, 2020

## Number theory question from today's Pre - RMO

December 18th, 2020

August 1st, 2022

## Find a pair of integers $x$ and $y$ such that $17369x + 5472y = 4$

September 28th, 2020

August 1st, 2022

August 1st, 2022

August 1st, 2022

## Using inclusion-exclusion principle to count the integers in $\{1, 2, 3, \dots , 100\}$ that are not divisible by $2$, $3$ or $5$

November 7th, 2020

August 1st, 2022

April 11th, 2020

## Quotient and Remainder of Numbers

October 11th, 2021

## 4 variables how many combos of 3 can you make

January 18th, 2020

August 1st, 2022

April 29th, 2020

## For natural numbers $a$ and $b$, show that $a \Bbb Z + b \Bbb Z = \gcd(a, b)\Bbb Z$

September 1st, 2020

June 5th, 2020

May 1st, 2020

August 1st, 2022

August 1st, 2022

August 1st, 2022

April 15th, 2020