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Elementary-number-theory
New post in Elementary-number-theory
Prove that $6 - \sqrt{2}$ is Irrational by contradiction
August 1st, 2022
radicals
rationality-testing
elementary-number-theory
Finding numbers from given LCM
August 1st, 2022
elementary-number-theory
Prove that $x=0.1234567891011\cdots$ is irrational
August 1st, 2022
elementary-number-theory
proof-verification
proof-writing
Evaluate all the square roots of 4 mod 77.
January 14th, 2020
modular-arithmetic
elementary-number-theory
chinese-remainder-theorem
if $m>n$ prove that $ a^{2^n} + 1$ is a divisor of $a^{2^m} - 1$
August 1st, 2022
elementary-number-theory
Find the smallest natural number $n$
August 1st, 2022
number-systems
elementary-number-theory
decimal-expansion
What's the difference between the terms "Numeral System" and "Number System"?
August 1st, 2022
elementary-number-theory
definition
Simplifying radical expressions such as $\sqrt{80}$
August 1st, 2022
elementary-number-theory
algebra-precalculus
square-numbers
The sum of all numbers between 1 and 1000 (inclusive) that are divisible by 3 or 5, but not both
August 1st, 2022
elementary-number-theory
What is illegal prime number?
August 1st, 2022
prime-factorization
prime-numbers
elementary-number-theory
number-theory
Use mathematical induction to prove that any integer $n\ge2$ is either a prime or a product of primes.
February 20th, 2020
inequality
elementary-number-theory
discrete-mathematics
logic
induction
Minimum number of moves to even out a row of brick piles
February 1st, 2020
discrete-mathematics
combinatorics
puzzle
elementary-number-theory
Prove that every element in $\mathbb{Z}_{p} \setminus \left\{0\right\}$, $p$ prime has a multiplicative inverse
August 1st, 2022
abstract-algebra
proof-explanation
modular-arithmetic
elementary-number-theory
linear-algebra
Determine $x$ if $x = 4 \mod 17$ and $x = 3 \mod 11$.
August 1st, 2022
congruences
systems-of-equations
elementary-number-theory
Sum of two numbers is equal to hcf +lcm
August 1st, 2022
elementary-number-theory
number-theory
Find all numbers $r$ for which the system of congruences is true
August 1st, 2022
modular-arithmetic
congruences
number-theory
elementary-number-theory
systems-of-equations
Find the first digit of a huge product in case of multiplication
June 9th, 2020
elementary-number-theory
Show that any natural number $n$ can be written on the form $n = 2^k \cdot m$
September 22nd, 2020
elementary-number-theory
On number of roots mod $p$ of a polynomial with integer coefficients
June 7th, 2020
polynomials
elementary-number-theory
Smallest positive Integral Solution of the equation : $\frac{1}{x^2} + \frac{1}{y^2} = \frac{1}{z^2}$
April 21st, 2020
elementary-number-theory
What possible remainders do perfect cubes leave when divided by $7$?
August 1st, 2022
elementary-number-theory
How to check for perfect numbers?
February 16th, 2020
closed-form
perfect-numbers
number-theory
elementary-number-theory
Determine all three-digit numbers N having the property that N is divisible by 11, and N/11 is equal to the sum of the squares of the digits of N.
March 18th, 2022
decimal-expansion
elementary-number-theory
A certain number when successively divided by $8$ and $11$ leaves remainders of $3$ and $7$, respectively.
May 22nd, 2020
elementary-number-theory
Prove that if $\sigma(n)$ is odd, $n$ is either a square or twice a square.
August 1st, 2022
number-theory
elementary-number-theory
$\gcd(a,b) = \gcd(a, a+2b)$ where $a$ is an odd integer
October 24th, 2020
gcd-and-lcm
elementary-number-theory
proof-verification
integers
discrete-mathematics
Find all positive integers n such that $n + 3$ divides $n^2 + 27$
August 1st, 2022
number-theory
elementary-number-theory
HCF of two numbers is 6. LCM of same numbers 72. What are two numbers?
August 1st, 2022
elementary-number-theory
Discuss the solution to 5x ≡ 8(mod 10)
February 8th, 2020
modular-arithmetic
proof-verification
elementary-number-theory
10 digit numbers formed using all the digits $0,1,2,...,9$
August 1st, 2022
elementary-number-theory
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