Proof for a general integer solution of the equation 𝑎𝑥+𝑏𝑦=𝑁
32071
General solution of linear equation = particular + general homogeneous solution
15753
Solve the following equation in positive integers $x$ and $y$
55100
The positive integer solutions for $2^a+3^b=5^c$
33469
Diophantine equation $ax + by = c$ has an integer solution $x_0, y_0$ if and only if $\gcd(a,b)|c$
101776
Bounded solution for an equation
72023
Integer solutions of the equation $x^2+y^2+z^2 = 2xyz$
35504
The Diophantine equation $x^2 + 2 = y^3$
36713
Solving multiple congruences by CRT = Chinese Remainder Theorem
57129
How to find an integer solution for general Diophantine equation $ax + by + cz + dt... = N$
55210
Prove that the equation: $c_0+c_1x+\ldots+c_nx^n=0$ has a real solution between 0 and 1.
20834
Integer solutions to $c=a^2-b^2$
107448
proving that there is no solution for $n$ in positive integers except $n = 1$ for $2^n = nk + 1$
103274
Integer solutions to the equation $a^3+b^3+c^3=30$
38379
Showing that $e^z=z$ has infinitely many solutions
95494
Number of solutions of an arithmetic function's equation
135465
Group theory proof of existence of a solution to $x^2\equiv -1\pmod p$ iff $p\equiv 1 \pmod 4$
140140
An identity which applies to all of the natural numbers