Question

How many variations of new primitive Pythagorean triples are there when the hypotenuse is multiplied by a prime?

score 246 · Answer 1 · 2026-05-07 13:19:36

246

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How many variations of new primitive Pythagorean triples are there when the hypotenuse is multiplied by a prime?

Published on 07 May 2026 - 13:19

score 233 · Answer 2 · 2026-05-04 04:03:20

233

Views

If $x^2-dy^2 = -1$ has a solution in $\mathbb{Z^2}$, then $d$ is the sum of two coprime squares.

Published on 04 May 2026 - 4:03

score 426 · Answer 3 · 2026-05-04 03:55:21

426

Views

How to interpret this visual proof for Archimedes' derivation of Sum of Squares?

Published on 04 May 2026 - 3:55

score 112 · Answer 4 · 2026-05-06 05:49:53

112

Views

consecutive integers that are not the sum of 2 squares.

Published on 06 May 2026 - 5:49

score 100 · Answer 5 · 2026-05-04 03:59:19

100

Views

Sum of the Squares of the First n square Numbers is not a perfect square number

Published on 04 May 2026 - 3:59

score 2.3k · Answer 6 · 2026-05-03 08:51:24

2.3k

Views

How many sub-square matrices does a square matrix have and is there a simple formula for it?

Published on 03 May 2026 - 8:51

score 109 · Answer 7 · 2026-04-20 09:42:56

109

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On near-Pythagorean triples $(n^5-2n^3+2n)^2 + (2n^4-2n^2+1)^2 = n^{10} + 1$

Published on 20 Apr 2026 - 9:42

score 185 · Answer 8 · 2026-05-10 11:31:35

185

Views

Closed form for the sum $\sum_{n=-\infty}^{\infty}\sum_{m=-\infty}^{\infty}{\left(n^2+m^2\right)^{-{p}}}$

Published on 10 May 2026 - 11:31

score 152 · Answer 9 · 2026-05-03 08:51:20

152

Views

Prove that any power of $10$ can be written as sum of two squares

Published on 03 May 2026 - 8:51

score 121 · Answer 10 · 2026-05-10 10:33:19

121

Views

Can Gauss-Newton algorithm give better optimization performances than Newton algorithm?

Published on 10 May 2026 - 10:33

score 238 · Answer 11 · 2026-04-29 12:49:08

238

Views

Is $a^2 + b^2 = c^2 + d^2 = e^2 + f^2$ possible, where a+e=d and b+c=f

Published on 29 Apr 2026 - 12:49

score 2.2k · Answer 12 · 2026-05-10 12:33:50

2.2k

Views

Perfect square as sum of two perfect squares

Published on 10 May 2026 - 12:33

score 319 · Answer 13 · 2026-05-02 05:12:36

319

Views

Mandelbrot and Julia fractals for $z_{n+2} = z_{n+1}^2 + z_n^2 + c$

Published on 02 May 2026 - 5:12

score 506 · Answer 14 · 2026-05-10 12:34:28

506

Views

Find sum of squares of elements of QB

Published on 10 May 2026 - 12:34

score 254 · Answer 15 · 2026-05-10 15:02:20

254

Views

Is it possible to use partitions of an odd integer to generate primes in a given interval?

Published on 10 May 2026 - 15:02

List Question

How many variations of new primitive Pythagorean triples are there when the hypotenuse is multiplied by a prime?

If $x^2-dy^2 = -1$ has a solution in $\mathbb{Z^2}$, then $d$ is the sum of two coprime squares.

How to interpret this visual proof for Archimedes' derivation of Sum of Squares?

consecutive integers that are not the sum of 2 squares.

Sum of the Squares of the First n square Numbers is not a perfect square number

How many sub-square matrices does a square matrix have and is there a simple formula for it?

On near-Pythagorean triples $(n^5-2n^3+2n)^2 + (2n^4-2n^2+1)^2 = n^{10} + 1$

Closed form for the sum $\sum_{n=-\infty}^{\infty}\sum_{m=-\infty}^{\infty}{\left(n^2+m^2\right)^{-{p}}}$

Prove that any power of $10$ can be written as sum of two squares

Can Gauss-Newton algorithm give better optimization performances than Newton algorithm?

Is $a^2 + b^2 = c^2 + d^2 = e^2 + f^2$ possible, where a+e=d and b+c=f

Perfect square as sum of two perfect squares

Mandelbrot and Julia fractals for $z_{n+2} = z_{n+1}^2 + z_n^2 + c$

Find sum of squares of elements of QB

Is it possible to use partitions of an odd integer to generate primes in a given interval?

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