Question

Let $a,b,c$ form a primitive Pythagorean triple, with $a$ odd. Prove that $(c-b)$ and $(c+b)$ share no common prime factors.

score 723 · Answer 1 · 2018-02-17 00:03:10

723

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Let $a,b,c$ form a primitive Pythagorean triple, with $a$ odd. Prove that $(c-b)$ and $(c+b)$ share no common prime factors.

Published on 17 Feb 2018 - 0:03

score 93 · Answer 2 · 2018-02-18 06:03:12

93

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Formulas for Pythagorean triples using Jacobsthal numbers and other well-known sequences?

Published on 18 Feb 2018 - 6:03

score 894 · Answer 3 · 2026-03-24 20:31:57

894

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Irregular polygons with non-equal integer side lengths and diagonals

Published on 24 Mar 2026 - 20:31

score 5.6k · Answer 4 · 2026-03-25 06:18:57

5.6k

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Pythagorean triples that "survive" Euler's totient function

Published on 25 Mar 2026 - 6:18

score 1.9k · Answer 5 · 2018-02-24 03:32:48

1.9k

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Given a right triangle whose side lengths are all integer multiples of 8, how many units are in the smallest possible perimeter of such a triangle?

Published on 24 Feb 2018 - 3:32

score 1.8k · Answer 6 · 2026-03-25 11:54:19

1.8k

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How to calculate the total number of possible right angle triangles where the perimeter is given, and all sides are integers?

Published on 25 Mar 2026 - 11:54

score 68 · Answer 7 · 2026-03-25 09:44:48

68

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Geometry Problem Solving Question

Published on 25 Mar 2026 - 9:44

score 236 · Answer 8 · 2026-03-17 08:11:00

236

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Pythagorean Theorem - Incomplete proof

Published on 17 Mar 2026 - 8:11

score 3.7k · Answer 9 · 2018-03-30 15:16:59

3.7k

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Prove that if a prime $p$ divides $a^2 + b^2$ then it must divide both a and b.

Published on 30 Mar 2018 - 15:16

score 785 · Answer 10 · 2026-03-16 22:36:30

785

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Non-pythagorean triples

Published on 16 Mar 2026 - 22:36

score 1.1k · Answer 11 · 2018-04-14 17:54:57

1.1k

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Finding the area of a triangle in a trapezoid and the area of the trapezoid based on the given information.

Published on 14 Apr 2018 - 17:54

score 1.1k · Answer 12 · 2018-04-21 06:36:43

1.1k

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The Proof of Infinitude of Pythagorean Triples $(x,x+1,z)$

Published on 21 Apr 2018 - 6:36

score 268 · Answer 13 · 2026-03-17 22:50:09

268

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Formula for the the integers of all Pythagorean triples with $z = y + 2$

Published on 17 Mar 2026 - 22:50

score 102 · Answer 14 · 2018-05-03 18:02:25

102

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Given primitive Pythagorean triple $(a,b,c)$ with $a<b<c$, if $a$ is odd, then $a^2 = b+c$

Published on 03 May 2018 - 18:02

score 350 · Answer 15 · 2018-05-04 01:08:33

350

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Are there any (more) consecutive numbers that are functional in the Pythagorean Theorem?

Published on 04 May 2018 - 1:08

List Question

Let $a,b,c$ form a primitive Pythagorean triple, with $a$ odd. Prove that $(c-b)$ and $(c+b)$ share no common prime factors.

Formulas for Pythagorean triples using Jacobsthal numbers and other well-known sequences?

Irregular polygons with non-equal integer side lengths and diagonals

Pythagorean triples that "survive" Euler's totient function

Given a right triangle whose side lengths are all integer multiples of 8, how many units are in the smallest possible perimeter of such a triangle?

How to calculate the total number of possible right angle triangles where the perimeter is given, and all sides are integers?

Geometry Problem Solving Question

Pythagorean Theorem - Incomplete proof

Prove that if a prime $p$ divides $a^2 + b^2$ then it must divide both a and b.

Non-pythagorean triples

Finding the area of a triangle in a trapezoid and the area of the trapezoid based on the given information.

The Proof of Infinitude of Pythagorean Triples $(x,x+1,z)$

Formula for the the integers of all Pythagorean triples with $z = y + 2$

Given primitive Pythagorean triple $(a,b,c)$ with $a<b<c$, if $a$ is odd, then $a^2 = b+c$

Are there any (more) consecutive numbers that are functional in the Pythagorean Theorem?

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