Determine all integers $x $ and $ y$ such that $|2^x − 3^y| =1$
103616
Distance between powers of 2 and 3
85917
Solve $(x+1)^y-x^z=1$
85653
$2^x + 3^x - 4^x + 6^x - 9^x ≤ 1$ $\forall x \in R$
114489
Solving $x^p + y^p = p^z$ in positive integers $x,y,z$ and a prime $p$
13572
$x^y+y^x>1$ for all $(x, y)\in \mathbb{R_+^2}$
125707
A simple proof (hopefully) for $2^x \neq 0$
34942
solving $x^3-2y^3=1$ using cubic number field
61877
Find all integer solutions to Diophantine equation $x^3+y^3+z^3=w^3$
148243
Prove that there are no positive integers $x$ and $y$ such that $x^3 + y^3 = 10^3$.
69874
Are there any integer solutions to $a^3=b^2$?
41300
Show $(x+y)^a > x^a + y^a$ for $x,y>0$ and $a>1$
94700
Integer solutions for $x^3+2=y^2$?
153313
Prove that for all integers $ a $ and $ b $, if $ a $ divides $ b $, then $ a^{2} $ divides $ b^{2} $.
113386
Find all integer roots of: $x^2(y-1)+y^2(x-1)=1$
113119
Use the division algorithm to prove that 3|(n³ + 2n) for all n ∈ ℕ
8504
Factoring $x^n + y^n$ over the integers
31295
$x+y\sqrt{2}$ infimum ($x,y\in \mathbb{Z}$)