Question

A divisibility conjecture related to the Ramanujan-Nagell equation

score 104 · Answer 1 · 2016-06-23 17:11:46

104

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A divisibility conjecture related to the Ramanujan-Nagell equation

Published on 23 Jun 2016 - 17:11

score 327 · Answer 2 · 2016-06-25 06:45:57

327

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The number of positive integer solutions to the equation $x_1+2x_2+...+nx_n=n^2.$

Published on 25 Jun 2016 - 6:45

score 86 · Answer 3 · 2016-06-26 06:29:28

86

Views

Diophantine Equation: $4x^r = 3y^2 + 1$

Published on 26 Jun 2016 - 6:29

score 7.1k · Answer 4 · 2026-03-26 02:56:11

7.1k

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Number of positive unequal integer solutions of $x+y+z+w=20$

Published on 26 Mar 2026 - 2:56

score 88 · Answer 5 · 2026-04-01 14:36:16

88

Views

For which integers $q \ge p\ge 1$ with $q^2-2p^2=2$ is $2p^2+1 \pm pq$ an integer square?

Published on 01 Apr 2026 - 14:36

score 804 · Answer 6 · 2016-06-28 11:16:14

804

Views

The number of positive integer solutions to the equation $x_1+x_2+...+x_n=n^2.$

Published on 28 Jun 2016 - 11:16

score 204 · Answer 7 · 2016-06-28 13:39:26

204

Views

Find all odd positive integers $n$ for which there exists odd positive integers $x_1,x_2,\ldots,x_n$ such that $x_1^2+x_2^2+\cdots+x_n^2=n^4$.

Published on 28 Jun 2016 - 13:39

score 373 · Answer 8 · 2026-04-12 05:07:44

373

Views

Solve $4 \times2^x+3^x=5^x$ without any sort of calculator

Published on 12 Apr 2026 - 5:07

score 29 · Answer 9 · 2026-04-11 07:19:58

29

Views

Rational Solutions to equations like $a^2+3b^2=k^3$

Published on 11 Apr 2026 - 7:19

score 128 · Answer 10 · 2016-06-29 14:34:17

128

Views

How to find all the integral solutions of $x^2-by^2=z^k$ where $k$ is an odd integer >2 and $b>0$?

Published on 29 Jun 2016 - 14:34

score 782 · Answer 11 · 2026-03-29 15:59:41

782

Views

Generalizing Ramanujan's cube roots of cubic roots identities

Published on 29 Mar 2026 - 15:59

score 478 · Answer 12 · 2026-04-13 04:33:47

478

Views

Why can't we use the law of cosines to prove Fermat's Last Theorem?

Published on 13 Apr 2026 - 4:33

score 340 · Answer 13 · 2016-07-01 01:28:25

340

Views

diophantine equation: $ (1-ab^3)(a^3b-1)=c^2$

Published on 01 Jul 2016 - 1:28

score 128 · Answer 14 · 2026-04-09 00:52:03

128

Views

Is $(2,5)$ the only solution?

Published on 09 Apr 2026 - 0:52

score 1.2k · Answer 15 · 2026-04-12 02:54:23

1.2k

Views

Are there ways to solve equations with multiple variables?

Published on 12 Apr 2026 - 2:54

List Question

A divisibility conjecture related to the Ramanujan-Nagell equation

The number of positive integer solutions to the equation $x_1+2x_2+...+nx_n=n^2.$

Diophantine Equation: $4x^r = 3y^2 + 1$

Number of positive unequal integer solutions of $x+y+z+w=20$

For which integers $q \ge p\ge 1$ with $q^2-2p^2=2$ is $2p^2+1 \pm pq$ an integer square?

The number of positive integer solutions to the equation $x_1+x_2+...+x_n=n^2.$

Find all odd positive integers $n$ for which there exists odd positive integers $x_1,x_2,\ldots,x_n$ such that $x_1^2+x_2^2+\cdots+x_n^2=n^4$.

Solve $4 \times2^x+3^x=5^x$ without any sort of calculator

Rational Solutions to equations like $a^2+3b^2=k^3$

How to find all the integral solutions of $x^2-by^2=z^k$ where $k$ is an odd integer >2 and $b>0$?

Generalizing Ramanujan's cube roots of cubic roots identities

Why can't we use the law of cosines to prove Fermat's Last Theorem?

diophantine equation: $ (1-ab^3)(a^3b-1)=c^2$

Is $(2,5)$ the only solution?

Are there ways to solve equations with multiple variables?

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