New post in Number-theory

Find all positive integers $a$ and $b$ satisfying $\gcd (a,b)=10$ and $\operatorname{lcm} (a,b)=100$ simultaneously.

July 26th, 2022

What is countably infinite set?

January 15th, 2023

Is Z/p a finite field only when p is prime number?

July 23rd, 2022

Probability of two boys if one is a boy

July 23rd, 2022

pirates treasure divide problem

December 5th, 2022

What's special properties does the number 1372 have?

November 27th, 2022

why octal number system jumping from 7 to 10 instead 8?

August 15th, 2022

Calculating (a / b) mod p

July 22nd, 2022

Is this a solution for the problem: $\ a^3 + b^3 = c^3\ $ has no nonzero integer solutions?

July 30th, 2022

Find the smallest integer $a > 2$ such that $2|a, 3|a + 1, 4|a + 2, 5|a + 3, 6|a + 4$

August 1st, 2022

How many natural numbers less than 1000 have the sum of their digits equal to 5? A.56 B.54 C.26 D.21 E.18

November 26th, 2020

proof for test of a perfect square

August 1st, 2022

$\frac {5}{7} = \frac {a_{2}}{2!} + \frac {a_{3}}{3!} + \frac {a_{4}}{4!} + \frac {a_{5}}{5!} + \frac {a_{6}}{6!} + \frac {a_{7}}{7!}$

August 1st, 2022

Prove there do not exist natural numbers m and n such that $7m^2 = n^2$.

October 22nd, 2020

Proof that expression is integer

August 23rd, 2020

How many positive integers $\le 1260$ are relatively prime to $1260$?

January 2nd, 2020

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

December 10th, 2020

What is the efficient way to calculate number of divisors of N that are divisible by 2?.

August 1st, 2022

$x^4 = -1$ (mod $p$) implies p = 1 mod 8

August 1st, 2022

Find the pairs $(x,y) ; 0 \le x,y \le 18$ such that $19 \vert 3x+4y+5$

August 1st, 2022

An interesting problem in number theory

November 19th, 2020

Show that $504 \mid (n^9 − n^3 )$ for any integer $n$

August 1st, 2022

Prove that if n is even then $n^2$ is even and if n is odd then $n^2$ is odd?

August 1st, 2022

difference between 2 prime numbers

August 1st, 2022

How can you find large powers modulo n?

April 17th, 2020

Number formation from given digits

July 17th, 2020

Put N mices in nearest holes

September 28th, 2020

Solving polynomial equation modulo $p^n$

August 1st, 2022

Chicken Mcnugget Theorem (Frobenius Coin) Problem

August 1st, 2022

How to write addition and multiplication tables for a given modulus

August 1st, 2022