Question

Finding two solutions to $x^2 - 6y^2 = 1$ using continued fractions

score 1.2k · Answer 1 · 2026-03-28 07:16:36

1.2k

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Finding two solutions to $x^2 - 6y^2 = 1$ using continued fractions

Published on 28 Mar 2026 - 7:16

score 211 · Answer 2 · 2015-05-26 19:51:01

211

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Show $ x^2 = 1 + y^2 + z^2$ has infinitely many solutions

Published on 26 May 2015 - 19:51

score 216 · Answer 3 · 2015-05-26 20:24:08

216

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What exactly is a Diophantine representation?

Published on 26 May 2015 - 20:24

score 97 · Answer 4 · 2015-05-27 22:43:11

97

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Integer solutions to $2x^2+5x+y^2=19$

Published on 27 May 2015 - 22:43

score 43 · Answer 5 · 2015-05-28 04:08:34

43

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Diophantine solutions to a large geometric figure

Published on 28 May 2015 - 4:08

score 740 · Answer 6 · 2015-05-28 16:08:52

740

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For which values of $\theta$ does this equation $x^{\cos\theta} +y^{\sin\theta }=1$ have solutions in integers?

Published on 28 May 2015 - 16:08

score 241 · Answer 7 · 2015-05-29 06:44:39

241

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Quadratic Diophantine equations on the ring of polynomials

Published on 29 May 2015 - 6:44

score 39 · Answer 8 · 2015-05-30 10:39:26

39

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Solution of the following system

Published on 30 May 2015 - 10:39

score 592 · Answer 9 · 2015-05-30 17:04:06

592

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Innocent-looking Diophantine equation with smallest solution of the order $10^{50}$?

Published on 30 May 2015 - 17:04

score 613 · Answer 10 · 2015-05-31 02:25:58

613

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Showing that $x^3+2y^3+4z^3=2xyz$ has no integer solutions except $(0,0,0)$.

Published on 31 May 2015 - 2:25

score 129 · Answer 11 · 2015-06-01 12:26:24

129

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Integer solutions of $m^2+(m+1)^2=n^4+(n+1)^4$

Published on 01 Jun 2015 - 12:26

score 178 · Answer 12 · 2015-06-01 18:34:28

178

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When does this equation have a solutions in integers: $ z ^ x + \bar z ^ y = 1 $?

Published on 01 Jun 2015 - 18:34

score 565 · Answer 13 · 2015-06-01 21:45:43

565

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Existence of rational points on ellipses equivalent to existence of integral points?

Published on 01 Jun 2015 - 21:45

score 215 · Answer 14 · 2015-06-02 13:39:53

215

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When is the existence of rational points on an ellipse equivalent to the existence of integral points?

Published on 02 Jun 2015 - 13:39

score 233 · Answer 15 · 2015-06-02 23:30:39

233

Views

Existence of solution for the diophantine equation $100x - 23y = -19$

Published on 02 Jun 2015 - 23:30

List Question

Finding two solutions to $x^2 - 6y^2 = 1$ using continued fractions

Show $ x^2 = 1 + y^2 + z^2$ has infinitely many solutions

What exactly is a Diophantine representation?

Integer solutions to $2x^2+5x+y^2=19$

Diophantine solutions to a large geometric figure

For which values of $\theta$ does this equation $x^{\cos\theta} +y^{\sin\theta }=1$ have solutions in integers?

Quadratic Diophantine equations on the ring of polynomials

Solution of the following system

Innocent-looking Diophantine equation with smallest solution of the order $10^{50}$?

Showing that $x^3+2y^3+4z^3=2xyz$ has no integer solutions except $(0,0,0)$.

Integer solutions of $m^2+(m+1)^2=n^4+(n+1)^4$

When does this equation have a solutions in integers: $ z ^ x + \bar z ^ y = 1 $?

Existence of rational points on ellipses equivalent to existence of integral points?

When is the existence of rational points on an ellipse equivalent to the existence of integral points?

Existence of solution for the diophantine equation $100x - 23y = -19$

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