# New post in Elementary-number-theory

August 8th, 2021

## Look at the following infinite sequence: 1, 10, 100, 1000, 10000, . . ..

September 20th, 2020

## what does the phrase "no zero divisors mod 13" mean?

September 18th, 2020

March 26th, 2020

April 18th, 2020

## A conjecture about Fibonacci numbers

September 12th, 2020

August 1st, 2022

## Find the smallest positive integer that gives remainder 1 when divided by 2,3,4,5,6,7,8

August 20th, 2020

## The number of ordered triples $(a, b, c)$ of positive integers which satisfy the simultaneous equations $ab + bc = 44$, $ac + bc = 33$

February 6th, 2020

May 26th, 2020

## Finding divisibility of a number using modular arithmetic

February 7th, 2020

## From any given twelve integers, two have a difference that is a multiple of 5

November 26th, 2020

## Finding the smallest base

October 20th, 2020

March 27th, 2020

## Root of a polynomial with rational coefficients

February 21st, 2020

## Use the Euclidean algorithm to prove that gcd(na, nb) = n gcd(a, b).

February 29th, 2020

## if $X^2 +AX+B=0$ has a rational root, prove it is an integer.

September 5th, 2020

## How to find all square roots of a number mod a product of primes.

November 14th, 2020

## Find the numbers that have an inverse modulo 11

February 25th, 2020

## How do you solve diophantine equations using euclidean algorithm?

November 19th, 2020

## Proving that Pythagorean triples are relatively prime if s and t are odd

October 10th, 2020

## show that if $n$ is not divisible by $3$ then $n^2 = 3m+1$ for some integer $m$

December 22nd, 2020

April 14th, 2020

## Diophantine equation with negative value

February 28th, 2022

August 1st, 2022

## Divisibility rule (mod 9)

February 13th, 2020

## Prove that if a and b are integers such that $7$ divides $a^2 + b^2$ , then $7$ divides $a^2$ and $7$ divides $b^2$.

January 18th, 2020

March 6th, 2020

## name of rule that says: x(x+1) is even number

January 11th, 2020

May 14th, 2020