Question

What are the principal (different) mechanisms of infinite descent proof?

score 293 · Answer 1 · 2016-03-27 04:00:29

293

Views

What are the principal (different) mechanisms of infinite descent proof?

Published on 27 Mar 2016 - 4:00

score 3.2k · Answer 2 · 2026-02-27 08:59:52

3.2k

Views

Solve $x^2+2=y^3$ using infinite descent?

Published on 27 Feb 2026 - 8:59

score 219 · Answer 3 · 2017-09-03 16:20:35

219

Views

How to understand the two definitions of finite descent are logical equivalent?

Published on 03 Sep 2017 - 16:20

score 213 · Answer 4 · 2026-02-27 11:01:57

213

Views

Show that $\sqrt{2} \notin \mathbb{Q}(i)$ using infinite descent

Published on 27 Feb 2026 - 11:01

score 675 · Answer 5 · 2011-03-12 12:31:57

675

Views

How to get Fermat's descent working on the conic $x^4+y^4=2z^2$?

Published on 12 Mar 2011 - 12:31

score 136 · Answer 6 · 2011-05-12 12:43:42

136

Views

Can Fermat's descent for $x^4+y^4=z^2$ be interpreted on a conic?

Published on 12 May 2011 - 12:43

score 143 · Answer 7 · 2020-09-06 19:24:43

Collatz Conjecture: Is there a straightforward argument showing that there are no nontrivial 2 "step" repeats (where each "step" is an odd number)

score 97 · Answer 8 · 2020-09-20 16:03:51

97

Views

Does it follow that if gcd$(x,6)=1$ and $n \ge 4$, then $x[3^{n-1}a + \sum\limits_{i=1}^{n-1}(3^{n-1-i}2^{P_i})]$ cannot have the same form?

Published on 20 Sep 2020 - 16:03

score 200 · Answer 9 · 2020-12-26 07:01:36

Let there be $2n+1$ integers such that when one of them is removed, the sum can be divided into $2$ groups each with $n$ integers.

score 350 · Answer 10 · 2021-01-29 01:33:12

350

Views

Does the equation $y^2=3x^4-3x^2+1$ have an elementary solution?

Published on 29 Jan 2021 - 1:33

score 54 · Answer 11 · 2021-02-08 21:12:48

54

Views

Right angled triangles

Published on 08 Feb 2021 - 21:12

score 99 · Answer 12 · 2026-02-23 01:21:10

99

Views

Can the Carmichael Function be used with Proof By Infinite Descent in the following way?

Published on 23 Feb 2026 - 1:21

score 51 · Answer 13 · 2021-08-29 13:06:45

51

Views

Prove that below equation has only one solution in integers, (0, 0, 0).

Published on 29 Aug 2021 - 13:06

score 136 · Answer 14 · 2021-08-30 22:47:34

136

Views

Elementary number theory contest problem: USAMO 2004/2

Published on 30 Aug 2021 - 22:47

score 140 · Answer 15 · 2021-11-04 05:47:29

140

Views

Using Fermat's descent to find sum of squares for a prime

Published on 04 Nov 2021 - 5:47

List Question

What are the principal (different) mechanisms of infinite descent proof?

Solve $x^2+2=y^3$ using infinite descent?

How to understand the two definitions of finite descent are logical equivalent?

Show that $\sqrt{2} \notin \mathbb{Q}(i)$ using infinite descent

How to get Fermat's descent working on the conic $x^4+y^4=2z^2$?

Can Fermat's descent for $x^4+y^4=z^2$ be interpreted on a conic?

Collatz Conjecture: Is there a straightforward argument showing that there are no nontrivial 2 "step" repeats (where each "step" is an odd number)

Does it follow that if gcd$(x,6)=1$ and $n \ge 4$, then $x[3^{n-1}a + \sum\limits_{i=1}^{n-1}(3^{n-1-i}2^{P_i})]$ cannot have the same form?

Let there be $2n+1$ integers such that when one of them is removed, the sum can be divided into $2$ groups each with $n$ integers.

Does the equation $y^2=3x^4-3x^2+1$ have an elementary solution?

Right angled triangles

Can the Carmichael Function be used with Proof By Infinite Descent in the following way?

Prove that below equation has only one solution in integers, (0, 0, 0).

Elementary number theory contest problem: USAMO 2004/2

Using Fermat's descent to find sum of squares for a prime

Trending Questions

Popular # Hahtags

Popular Questions