List questions from diophantine-equations

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Alternating binomial sum over even coefficients.

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Diophantine Equation $x^2y^2-4x-4y=z^2$

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List Question

Shortest orthogonal integer vectors and their cross product

How can this problem be solved using continued fractions?

Fast Way to Find Pythagorean Decompositions

Representation of a number as a sum of squares.

Solving $2x^4+2x^2y^2+y^4 = z^2$

Solutions for diophantine equation $3^a+n=2^b$

Formula for calculating the total number of solution pairs to an equation

On the number of ways of writing an integer as a sum of 3 squares using triangular numbers.

How to prove that if $2^n-1=a\cdot b$ then $a+b\neq 2^m$

$x^2+y^2=z^n$: Find solutions without Pythagoras!

Alternating binomial sum over even coefficients.

Find rational numbers $(x,y)$ such that $ (x^2 + y^2 - 2x)^2 = x^2 + y^2$

New Year 2017 Riddle (3 quadratic Diophanitine equations)

New Year 2017 Puzzle: Two of Four Diophantine Equations

Diophantine Equation $x^2y^2-4x-4y=z^2$

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