Newbetuts

largest integer $x$ satisfying $\frac{1}{x}+\frac{1}{y}+\frac{1}{z}+\frac{1}{w} = \frac{1}{13}$ when $x<y<z<w$ [closed]

How to prove a double sum is always an integer?

How to compactly write a simple set for 2 variables when second variable may have same properties as first or it may optionally be positive infinity?

Is getting a random integer even possible?

Is $\mathbb{Z}$ the only totally-ordered PID that is "special"?

Show that if $a \neq b$ and a and b are positive then $\frac{a}{b}+\frac{b}{a}$ is never an integer

proving that the area of a 2016 sided polygon is an even integer

Number of integer triplets $(a,b,c)$ such that $a<b<c$ and $a+b+c=n$

What is the remainder when $1! + 2! + 3! +\cdots+ 1000!$ is divided by $12$?

How many five digit numbers divisible by $3$ can be formed using the digits $0,1,2,3,4,7$ and $8$ if each digit is to be used at most once

The equation with binomial coefficient $\binom{n-m}{k+m}=\binom{n+m}{k-m}$

Prove that the number 14641 is the fourth power of an integer in any base greater than 6?

Does topology apply to the integers? [closed]

If $a,b$ are positive integers such that $\gcd(a,b)=1$, then show that $\gcd(a+b, a-b)=1$ or $2$. and $\gcd(a^2+b^2, a^2-b^2)=1$ or $2 $

How can I find integers which satisfy $\frac{150+n}{15+n}=m$?

New posts in integers

How to prove that the product of eight consecutive numbers can't be a number raised to exponent 4?

A polynomial with integer coefficients that attains the value $5$ at four distinct points

$\{x^2\} = \{x\}^2$, how many solutions in interval $[1, 10]$

Prove that $\,\sqrt [n] n < 1 + \sqrt{\frac{2}{n}}\,$

What are all the integral solutions of $n!=m(m^2-1)$?

largest integer $x$ satisfying $\frac{1}{x}+\frac{1}{y}+\frac{1}{z}+\frac{1}{w} = \frac{1}{13}$ when $x<y<z<w$ [closed]

How to prove a double sum is always an integer?

How to compactly write a simple set for 2 variables when second variable may have same properties as first or it may optionally be positive infinity?

Is getting a random integer even possible?

Is $\mathbb{Z}$ the only totally-ordered PID that is "special"?

Show that if $a \neq b$ and a and b are positive then $\frac{a}{b}+\frac{b}{a}$ is never an integer

proving that the area of a 2016 sided polygon is an even integer

Number of integer triplets $(a,b,c)$ such that $a<b<c$ and $a+b+c=n$

What is the remainder when $1! + 2! + 3! +\cdots+ 1000!$ is divided by $12$?

How many five digit numbers divisible by $3$ can be formed using the digits $0,1,2,3,4,7$ and $8$ if each digit is to be used at most once

The equation with binomial coefficient $\binom{n-m}{k+m}=\binom{n+m}{k-m}$

Prove that the number 14641 is the fourth power of an integer in any base greater than 6?

Does topology apply to the integers? [closed]

If $a,b$ are positive integers such that $\gcd(a,b)=1$, then show that $\gcd(a+b, a-b)=1$ or $2$. and $\gcd(a^2+b^2, a^2-b^2)=1$ or $2 $

How can I find integers which satisfy $\frac{150+n}{15+n}=m$?