Diophantine Equation: how to find k such as solutions are natural numbers?
946
How to find solutions of linear Diophantine ax + by = c?
156542
Number of solutions to $a_1 + a_2 + \dots + a_k = n$ where $n \gt 0$ and $0 \lt a_1 \leq a_2 \leq \dots \leq a_k$ are integers.
150085
Solutions to the diophantine equation: $2a^2 + 2b^2- c^2- d^2 = 0$
30126
Linear Diophantine Equations in Three Variables
48051
Proof related to natural numbers
126689
Find the number of natural solutions of $5^x+7^x+11^x=6^x+8^x+9^x$
53560
Find largest $k$ such that the diophantine equation $ax+by=k$ does not have nonnegative solution.
40063
$x^2+y^2=z^n$: Find solutions without Pythagoras!
33469
Diophantine equation $ax + by = c$ has an integer solution $x_0, y_0$ if and only if $\gcd(a,b)|c$
22112
Find all integer solutions to $x^2+4=y^3$.
106896
Number of solutions of $x_1+2x_2+\cdots+kx_k=n$?
94700
Integer solutions for $x^3+2=y^2$?
8884
Find all natural numbers $n$ and $m$ for which $n^m=(n-1)!+1$
26081
What will be total number of solutions of $a+b+c = n$?
115244
Integer solutions of $m^2+(m+1)^2=n^4+(n+1)^4$
59091
A quartic diophantine equation
103165
the number of the positive integer numbers $k$ that makes for the two quadratic equations $ \pm x^2 \pm px \pm k$ rational roots.