Question

Does $a^2 + b^2 = 2 c^2$ have any integer solution?

score 746 · Answer 1 · 2020-05-20 15:33:00

746

Views

Does $a^2 + b^2 = 2 c^2$ have any integer solution?

Published on 20 May 2020 - 15:33

score 247 · Answer 2 · 2020-05-22 15:30:21

247

Views

Are there infinitely many primitive Pythagorean $n$-tuples?

Published on 22 May 2020 - 15:30

score 39 · Answer 3 · 2020-05-23 14:56:07

39

Views

Show that if $m, n$ and $m',n'$ produce the same primitive Pythagorean triple then $m=m'$ and $n=n'.$

Published on 23 May 2020 - 14:56

score 41 · Answer 4 · 2020-05-23 16:21:46

41

Views

If $m,n,p$ and $m',n',p'$ produce the same Pythagorean triple, does the following have to hold? $m=m'$, $n=n'$ and $p=p'$.

Published on 23 May 2020 - 16:21

score 113 · Answer 5 · 2020-05-24 11:15:04

113

Views

Sum of reciprocals of perimeters of primitive Pythagorean triples

Published on 24 May 2020 - 11:15

score 79 · Answer 6 · 2020-05-27 21:29:07

79

Views

Construct any regular polygon (A003401) that has the same area as the sum of $n$ given triangles

Published on 27 May 2020 - 21:29

score 144 · Answer 7 · 2020-06-03 05:55:48

144

Views

How to find Pythagorean triples with one side only?

Published on 03 Jun 2020 - 5:55

score 71 · Answer 8 · 2020-06-03 15:31:05

71

Views

Find integer $x\neq 0$ such that $120x+1,160x+1,240x+1$ are perfect square

Published on 03 Jun 2020 - 15:31

score 58 · Answer 9 · 2020-06-04 11:23:40

58

Views

How to solve this algebra problem related to Pythagorean triplets?

Published on 04 Jun 2020 - 11:23

score 1.3k · Answer 10 · 2020-06-17 22:57:09

1.3k

Views

AHSME Challenge Math Question Cowboy

Published on 17 Jun 2020 - 22:57

score 178 · Answer 11 · 2020-06-18 04:36:26

178

Views

When is the product of two "primitive" complex integers also "primitive"?

Published on 18 Jun 2020 - 4:36

score 107 · Answer 12 · 2020-07-02 10:59:57

107

Views

Assistance regarding a number theory project

Published on 02 Jul 2020 - 10:59

score 41 · Answer 13 · 2020-07-18 21:45:23

41

Views

Can you find a function that follows a rule while rational and it's differentiable everywhere? (relates to the Pythagorean theorem)

Published on 18 Jul 2020 - 21:45

score 224 · Answer 14 · 2026-02-23 12:08:09

224

Views

How to prove that there is an infinite number of primitive pythagorean triples such as $b=a+1$ and $2 | a$?

Published on 23 Feb 2026 - 12:08

score 397 · Answer 15 · 2016-07-06 11:45:25

397

Views

Why is the smallest Pythagorean triple $(x,y,z)=(3,4,5)$ not close (in ratio $x/y$) to any other small triple?

Published on 06 Jul 2016 - 11:45

List Question

Does $a^2 + b^2 = 2 c^2$ have any integer solution?

Are there infinitely many primitive Pythagorean $n$-tuples?

Show that if $m, n$ and $m',n'$ produce the same primitive Pythagorean triple then $m=m'$ and $n=n'.$

If $m,n,p$ and $m',n',p'$ produce the same Pythagorean triple, does the following have to hold? $m=m'$, $n=n'$ and $p=p'$.

Sum of reciprocals of perimeters of primitive Pythagorean triples

Construct any regular polygon (A003401) that has the same area as the sum of $n$ given triangles

How to find Pythagorean triples with one side only?

Find integer $x\neq 0$ such that $120x+1,160x+1,240x+1$ are perfect square

How to solve this algebra problem related to Pythagorean triplets?

AHSME Challenge Math Question Cowboy

When is the product of two "primitive" complex integers also "primitive"?

Assistance regarding a number theory project

Can you find a function that follows a rule while rational and it's differentiable everywhere? (relates to the Pythagorean theorem)

How to prove that there is an infinite number of primitive pythagorean triples such as $b=a+1$ and $2 | a$?

Why is the smallest Pythagorean triple $(x,y,z)=(3,4,5)$ not close (in ratio $x/y$) to any other small triple?

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