Question

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

score 296 · Answer 1 · 2026-04-03 01:43:06

296

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

Published on 03 Apr 2026 - 1:43

score 3.3k · Answer 2 · 2026-04-13 02:46:04

3.3k

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

Published on 13 Apr 2026 - 2:46

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

219

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

Published on 03 Sep 2017 - 16:20

score 215 · Answer 4 · 2026-04-18 01:18:48

215

Views

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

Published on 18 Apr 2026 - 1:18

score 678 · Answer 5 · 2026-04-15 14:34:18

678

Views

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

Published on 15 Apr 2026 - 14:34

score 139 · Answer 6 · 2026-04-14 09:01:45

139

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

Published on 14 Apr 2026 - 9:01

score 144 · Answer 7 · 2026-03-25 07:44:57

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

score 98 · Answer 8 · 2026-03-25 07:45:51

98

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 25 Mar 2026 - 7:45

score 203 · Answer 9 · 2026-04-16 15:24:41

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 353 · Answer 10 · 2026-04-14 20:43:01

353

Views

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

Published on 14 Apr 2026 - 20:43

score 59 · Answer 11 · 2026-04-15 09:54:08

59

Views

Right angled triangles

Published on 15 Apr 2026 - 9:54

score 100 · Answer 12 · 2026-04-09 04:32:39

100

Views

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

Published on 09 Apr 2026 - 4:32

score 52 · Answer 13 · 2026-03-25 07:42:15

52

Views

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

Published on 25 Mar 2026 - 7:42

score 137 · Answer 14 · 2026-03-25 07:41:06

137

Views

Elementary number theory contest problem: USAMO 2004/2

Published on 25 Mar 2026 - 7:41

score 141 · Answer 15 · 2026-03-25 07:45:25

141

Views

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

Published on 25 Mar 2026 - 7:45

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

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