How can I find the number of integral Pythagorean triples with a given hypotenuse?
114262
Find the cardinality of the following set $S_n=\{(x,y)|x^2+y^2=n, \text{where }x,y,n \in \mathbb Z\text{ and }n\geq0 \}$
109343
Solve Euler Project #9 only mathematically - Pythagorean triplet
27218
How to use stars and bars for solving number of integral solutions to an equality?
89590
The number of solutions of $ax^2+by^2\equiv 1\pmod{p}$ is $ p-\left(\frac{-ab}{p}\right)$
20548
General formula to obtain triangular-square numbers
86914
Cardinality of the set of hyperreal numbers
100255
If a prime divides the hypotenuse of a primitive Pythagorean triple, then $p \equiv 1$ (mod 4)
40952
Showing that sum of angles of hyperbolic triangle is strictly less than $\pi$
12732
Do any (non-trivial) 2-chains of Pythagorean triplets exist?
53745
Euler's $\phi$ function: Find all $n$ such that $\phi(n)=n/3$
2944
How many triples $(x,y,n)$ are there such that $x^n - y^n = 2^{100}$
39993
Count the number of positive solutions for a linear diophantine equation
150528
Pythagorean triples $(a,b,c)$ and divisibility of $a$ or $b$ by $3$.
137608
Proof of Euclid's formula for primitive Pythagorean Triples
61268
Is there a combinatorial interpretation of the triangular numbers?
7891
Sum of nth roots of unity
43398
Find possible number of triangles with integer sides for a given inradius