Problem 44319. Write c^3 as sum of two squares a^2+b^2

Created by Mehmet OZC
Appears in Indexing I

Difficulty:Rate

Solve Later
Add To GroupÃ‚

write c^3 as sum of two squares a^2+b^2. a and b must be integer and greater than zero.

For example

 5^3 = 2^2 + 11^2
 5^3 = 5^2 + 10^2
 10^3 = 10^2 + 30^2
 10^3 = 18^2 + 26^2

sort output matrix so that each row and first column is in ascending order.

Solve

Solution Stats

1131 Solutions
319 Solvers

Last Solution submitted on Nov 19, 2024

Last 200 Solutions

Problem Comments

4 Comments

4 Comments

Show 1 older comment

James on 17 Oct 2017

First case is also wrong: 1^3 = 1^2 + 0^2. The problem doesn't specify positive numbers, so it is a valid solution. (If you *really* want to open a can of worms, a and b don't have to be integers, or even real numbers according to the test suite!)

Mehmet OZC on 18 Oct 2017

You are right James. I have add some sentences to problem definition.

Payam Morsali on 19 Oct 2020

How on earth the leading solution size is 7? can you please provide it also for us ?

Solution Comments

Show comments

Problem Recent Solvers319

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 44319. Write c^3 as sum of two squares a^2+b^2

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers319

Suggested Problems

More from this Author92

Problem Tags

Community Treasure Hunt

Problem 44319. Write c^3 as sum of two squares a^2+b^2

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers319

Suggested Problems

More from this Author92

Problem Tags

Community Treasure Hunt

Players