Do there exist any Pythagorean triples that share two out of three numbers?
57250
Proving that the sum and difference of two squares (not equal to zero) can't both be squares.
149589
Analogous results to Euler's theorem
10699
Why are There No "Triernions" (3-dimensional analogue of complex numbers / quaternions)?
96737
Geometric proof that a Pythagorean triple has a number divisible by $3$?
110723
Catalan numbers and triangulation
84017
Is $\sqrt[3]{2}$ contained in $\mathbb{Q}(\zeta_n)$?
61268
Is there a combinatorial interpretation of the triangular numbers?
48127
Are there infinitely many $A\in \mathbb{C}^{2 \times 2}$ satisfying $A^3 = A$?
72670
Find three distinct triples (a, b, c) consisting of rational numbers that satisfy $a^2+b^2+c^2 =1$ and $a+b+c= \pm 1$.
20548
General formula to obtain triangular-square numbers
115264
Find when three numbers have the same remainder when divided by the same number
23301
There does not exist any integer $m$ such that $3n^2+3n+7=m^3$
103116
Prove that any odd number can be a leg in a Pythagorean Triple
69874
Are there any integer solutions to $a^3=b^2$?
58418
Does there exist a set of exactly five positive integers such that the sum of any three distinct elements is prime?
108840
Is it true that every pair of twin primes >3 is of the form 6n plus or minus 1?
46606
Can an integer of the form $4n+3$ written as a sum of two squares?