User John R Ramsden

30 votes

Not especially famous, long-open problems which anyone can understand

answered Jun 23, 2012 at 9:04

9 votes

Examples of common false beliefs in mathematics

answered Dec 18, 2010 at 19:50

5 votes

Does $(x^2 - 1)(y^2 - 1) = c z^4$ have a rational point, with z non-zero, for any given rational c?

answered May 19, 2012 at 16:04

5 votes

Diophantine Equation with Polynomial Coefficients

answered Sep 23, 2012 at 20:21

4 votes

Analysis of a quadratic diophantine equation

answered Oct 30, 2010 at 19:57

4 votes

Parametrization of the intersection of an ellipsoid with a sphere

answered May 30, 2011 at 17:09

3 votes

Is there an algorithm to solve quadratic Diophantine equations?

answered Sep 24, 2013 at 13:19

3 votes

What is the oldest open problem in mathematics?

answered May 9, 2014 at 14:58

3 votes

Does the Diophantine equation $(x^2+ay^2)(u^2+bv^2) = p^2+cq^2$ admit a complete solution?

answered Oct 2, 2014 at 14:08

2 votes

Reference request: an elementary proof of Brouwer fixed-point theorem.

answered Sep 25, 2012 at 9:42

2 votes

Are nontrivial integer solutions known for $x^3+y^3+z^3=3$?

answered Jun 2, 2011 at 18:09

2 votes

Accepted

Does this surface contain all perfect cuboids?

answered Aug 27, 2011 at 20:28

2 votes

Examples of common false beliefs in mathematics

answered Dec 18, 2010 at 12:34

2 votes

Which Diophantine equations can be solved using continued fractions?

answered Feb 25, 2012 at 11:58

1 vote

The variety $x_1 + x_2 + .. + x_n = 0$, $x_1 x_2 .. x_n = 1$ for n > 4

answered Jan 14, 2012 at 9:35

1 vote

Omniscient bots gathering on $\mathbb{Z}^2$

answered Jan 21, 2012 at 8:42

1 vote

Impossible Heronian Triangles (Ratio of 2 Sides)

answered Jan 22, 2012 at 19:34

1 vote

Algorithm to count number of positive integer solutions of $x^2(8x-3)=y^2z$?

answered Aug 3, 2013 at 10:47

1 vote

Efficient representations of natural numbers via arithmetical expressions

answered Dec 3, 2013 at 11:43

1 vote

Finding an invisible circle by drawing another line

answered Aug 31, 2013 at 14:52

0 votes

$x^4+y^4$ powerful for relatively prime $x,y$

answered Jan 9, 2015 at 15:34

0 votes

Nice proof of the Jordan curve theorem?

answered Feb 9, 2016 at 18:58

0 votes

Fiction books about mathematicians?

answered Jul 15, 2012 at 10:17

0 votes

Rational solutions of $x^2 + y^2 = z (z^2 - 1)$

answered Aug 5, 2013 at 12:17

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24 Answers

Not especially famous, long-open problems which anyone can understand

Examples of common false beliefs in mathematics

Does $(x^2 - 1)(y^2 - 1) = c z^4$ have a rational point, with z non-zero, for any given rational c?

Diophantine Equation with Polynomial Coefficients

Analysis of a quadratic diophantine equation

Parametrization of the intersection of an ellipsoid with a sphere

Is there an algorithm to solve quadratic Diophantine equations?

What is the oldest open problem in mathematics?

Does the Diophantine equation $(x^2+ay^2)(u^2+bv^2) = p^2+cq^2$ admit a complete solution?

Reference request: an elementary proof of Brouwer fixed-point theorem.

Are nontrivial integer solutions known for $x^3+y^3+z^3=3$?

Does this surface contain all perfect cuboids?

Examples of common false beliefs in mathematics

Which Diophantine equations can be solved using continued fractions?

The variety $x_1 + x_2 + .. + x_n = 0$, $x_1 x_2 .. x_n = 1$ for n > 4

Omniscient bots gathering on $\mathbb{Z}^2$

Impossible Heronian Triangles (Ratio of 2 Sides)

Algorithm to count number of positive integer solutions of $x^2(8x-3)=y^2z$?

Efficient representations of natural numbers via arithmetical expressions

Finding an invisible circle by drawing another line

$x^4+y^4$ powerful for relatively prime $x,y$

Nice proof of the Jordan curve theorem?

Fiction books about mathematicians?

Rational solutions of $x^2 + y^2 = z (z^2 - 1)$