List questions from diophantine-equations

Published on 09 Oct 2014 - 5:41

131

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Find all natural number solutions to: $20x^2 + 11y^2 = 2011$

Published on 30 Mar 2026 - 17:09

877

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Solving homogeneous quaternary quadratic Diophantine equation

Published on 27 Mar 2026 - 10:15

78

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When is the equation $x^2-d^n y^2 = -1$ solvable?

Published on 10 Oct 2014 - 4:13

86

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Efficient software implementation of $x^2+3y^2=N$

Published on 11 Oct 2014 - 5:27

516

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Prove that $\gcd(abc + abd + acd + bcd, abcd) = 1$

Published on 12 Oct 2014 - 21:56

50

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Return to sum of powers question.

Published on 13 Oct 2014 - 18:40

50

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Equation with tangent and powers

Published on 16 Oct 2014 - 15:04

211

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How to solve the system $\frac{35-12b}{a-b}= \frac bk,\frac{12a-35}{a-b}= \frac {a}{1-k}$

Published on 18 Oct 2014 - 3:18

136

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Triplets of distinct integers > 1 that return integer values.

Published on 18 Oct 2014 - 20:37

164

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Find all positive integers s.t. $10^m-8^n=2m^2$

Published on 20 Oct 2014 - 11:49

78

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Linear Diophantine Equation Question

Published on 22 Oct 2014 - 5:10

113

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List one of the ways in which Mario could buy the stars and comets. Note: Mario needs to spend all of his gold coins

Published on 22 Oct 2014 - 5:15

109

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How many natural solutions does the equation $x^2 - c y^2 = 1$ have?

Published on 22 Oct 2014 - 9:06

686

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Can Legendre's theorem really help solve this equation: $ax^2+by^2=cz^2$?

Published on 22 Oct 2014 - 12:05

List Question

Diophantine Equation: $x^2 + 3y^2 = 11z^2$

Find all natural number solutions to: $20x^2 + 11y^2 = 2011$

Solving homogeneous quaternary quadratic Diophantine equation

When is the equation $x^2-d^n y^2 = -1$ solvable?

Efficient software implementation of $x^2+3y^2=N$

Prove that $\gcd(abc + abd + acd + bcd, abcd) = 1$

Return to sum of powers question.

Equation with tangent and powers

How to solve the system $\frac{35-12b}{a-b}= \frac bk,\frac{12a-35}{a-b}= \frac {a}{1-k}$

Triplets of distinct integers > 1 that return integer values.

Find all positive integers s.t. $10^m-8^n=2m^2$

Linear Diophantine Equation Question

List one of the ways in which Mario could buy the stars and comets. Note: Mario needs to spend all of his gold coins

How many natural solutions does the equation $x^2 - c y^2 = 1$ have?

Can Legendre's theorem really help solve this equation: $ax^2+by^2=cz^2$?

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