Can two different natural numbers raised to the same irrational power be integers?
133406
$n^a$ integral for all integer $n$ implies $a$ integral
150576
When is an Integer a Rational Number, and are All Ratios Rational, Even $\frac{\sqrt{7}}{2}$?
87410
Are there real numbers that are neither rational nor irrational?
96204
Irrational number $\sqrt2$ proof
104917
Is $\sqrt1+\sqrt2+\dots+\sqrt n$ ever an integer?
48975
Transcendental numbers and irrationality measure
141424
$\log_7 n$ is either an integer or an irrational number
37915
$\sqrt{2}$ is irrational proof using well-Ordering Property
89716
Is there a proof of the irrationality of $\sqrt{2}$ that involves modular arithmetic?
50555
Approximation of real number to the power of irrational
21383
Can every even integer be expressed as the difference of two primes?
120906
Is there a proof that $\pi \times e$ is irrational?
32
Is $n^{th}$ root of $2$ an irrational number?
23752
Proving Irrationality
102039
If any integer to the power of $x$ is integer, must $x$ be integer?
153976
Do complex quantities and irrational numbers exist in nature?
138569
Is the “sum of all natural numbers” unique?