Each power of integers is an integer
981
If $n^c\in\mathbb N$ for every $n\in\mathbb N$, then $c$ is a non-negative integer?
155363
Find all integers $(x, y)$ such that $1 + 2^x + 2^{2x + 1} = y^2$
145397
How to prove that for every $i$, $a_i = i$
18693
If $a,b$ are positive integers such that $a^{n}+n$ divides $b^{n}+n$ for every $n$, then $a=b$
86421
Proof of the definition of cardinal exponentiation
140140
An identity which applies to all of the natural numbers
49372
$x+1/x$ an integer implies $x^n+1/x^n$ an integer
75166
Find with proof all positive integers $n$ such that $2^n + 1 \equiv 0 \pmod{n}$
41052
The set of real numbers and power set of the natural numbers
89989
A set of integers whose elements all divide $2015^{200}$ but do not divide each other
31331
$|a|=m,\,\gcd(m,n)=1 \implies a$ is an $n$'th power
82071
divisor of a product of integers is a product of divisors
33786
Proof that a certain fraction is always an integer
33505
Show that every large integer has a large prime-power factor
5595
$x^y = y^x$ for integers $x$ and $y$
102174
Proving that all terms in sequence are positive integers (Recursive)
144735
Possible cardinality of power sets