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Elementary-number-theory
New post in Elementary-number-theory
Finding values for Chinese Remainder Theorem
March 15th, 2020
elementary-number-theory
Show that $\sqrt{2}$ is irrational using the integer root theorem
August 26th, 2020
roots
polynomials
rationality-testing
elementary-number-theory
proof-verification
Maximum and Minimum in Set Theory
August 1st, 2022
elementary-set-theory
elementary-number-theory
Single fixed deposit vs multiple fixed deposits
December 29th, 2020
elementary-number-theory
algebra-precalculus
Find all solutions of the linear congruence $3x-7y \equiv 11$ (mod $13$)
April 25th, 2020
congruences
elementary-number-theory
The multiplication of two even numbers gives an even number
August 1st, 2022
modular-arithmetic
elementary-number-theory
divisibility
prove that an integer a is odd if and only if it can be written as a sum of two consecutive integers
February 19th, 2020
proof-verification
elementary-number-theory
Let $w, x, y, z$ be natural numbers. Find the correct alternative.
January 19th, 2020
discrete-mathematics
combinatorics
elementary-number-theory
Arrangements of bingo cards with constraints
November 30th, 2020
combinatorics
elementary-number-theory
Equality of equivalence classes for congruence modulo 7
November 10th, 2020
congruences
equivalence-relations
elementary-number-theory
Prove by induction that every integer is either a prime or product of primes
May 15th, 2020
elementary-number-theory
induction
Use Fermat's little theorem to solve $7^{222}$mod $11$
July 10th, 2020
elementary-number-theory
converting numbers to degree
May 13th, 2020
elementary-number-theory
numerical-methods
When does Fermat's little theorem not hold for coprimes $a$ and $p$ , but $p$ being non-prime and why?
June 25th, 2020
elementary-number-theory
$x^2 \equiv a \mod p$, $\ x^2 \equiv b \mod p$, and $x^2 \equiv ab \mod p$, prove either all three are solvable or exactly one
April 14th, 2020
number-theory
elementary-number-theory
modular-arithmetic
congruences
Find the $\gcd(81,237)$ and express it as a linear combination of $81$ and $237.$
April 11th, 2020
elementary-number-theory
divisibility
gcd-and-lcm
Prove n is a product of a square and a cube
August 10th, 2020
elementary-number-theory
The proof of perfect square having $0,1,4,5,6,9$ as units digit
August 13th, 2020
elementary-number-theory
discrete-mathematics
Product of two distinct odd primes is not carmichael
January 27th, 2020
elementary-number-theory
Prove that there are as many quadratic residues mod p as there are quadratic non-residues mod p
August 1st, 2022
number-theory
elementary-number-theory
quadratic-residues
proof - infinite pair integers $a$ and $b$ such that $a + b = 100$ and $\gcd(a, b) = 5$
March 3rd, 2020
proof-writing
number-theory
elementary-number-theory
Show that if $(x,y) =1$ then $(x-y, x+y)$ is either $1$ or $2$.
February 18th, 2020
gcd-and-lcm
elementary-number-theory
Proving the existence part of the quotient-remainder theorem for integers $n ≥ 0$ by mathematical induction
March 1st, 2020
discrete-mathematics
elementary-set-theory
elementary-number-theory
The integer $m$ is odd if and only if there exists $q \in \mathbb{Z}$ such that $m = 2q + 1$
August 1st, 2022
elementary-number-theory
number-theory
Smallest positive integer n
October 7th, 2020
elementary-number-theory
finding missing digits using divisibility rules
September 23rd, 2020
elementary-number-theory
Sum of all numbers less than equal to X relatively prime to all number less than Y
March 29th, 2020
prime-factorization
algorithms
elementary-number-theory
Find integers x, y such that 242x + 2240y = gcd(242,2240)
February 7th, 2021
elementary-number-theory
euclidean-algorithm
linear-diophantine-equations
Check If a Number is in three-square form
January 11th, 2020
number-theory
elementary-number-theory
Proving that even numbers equal the sum of two odd numbers.
September 13th, 2020
elementary-number-theory
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