Prove that there are only 3 integer solutions to $2^a+3 ^b=5^c$
55100
The positive integer solutions for $2^a+3^b=5^c$
94700
Integer solutions for $x^3+2=y^2$?
79544
Prove $x^3 + 3 =4y(y+1)$ has no integer solutions
101708
Integers can be expressed as $a^3+b^3+c^3-3abc$
114954
Solve the equation $x^3 + 117y^3 = 5$ over the integers.
52658
What are the integer solutions to $a^{b^2} = b^a$ with $a, b \ge 2$
130027
Give a direct proof of the fact that $a^2-5a+6$ is even for any $a \in \mathbb Z$
150085
Solutions to the diophantine equation: $2a^2 + 2b^2- c^2- d^2 = 0$
112575
Finding integer solutions of $m^2-n^5 = m - n$
63958
how to prove this inequality $(ab+bc+ac)^2 ≥ 3abc(a+b+c)$
33469
Diophantine equation $ax + by = c$ has an integer solution $x_0, y_0$ if and only if $\gcd(a,b)|c$
144802
Prove no solution to $x^2\equiv3\bmod5$
28594
Number of integer solutions of the following equation
111696
Show $\sin x = bx$ has at least 3 real solutions.
151153
Prove $\frac{a(a^2+2)}{3}$ is an integer for all integer $a\geqslant 1$
56624
Prove that $0!+1! + 2! + 3! + ..... + n!$ $\neq$ $p^\text{r}$, where $n \geqslant 3$ and $n$, $p$ and $r$ are three integers
9542
Integer solutions for $x^2-y^3 = 23$.