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

Created by Mehmet OZC

Solve Later

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

926 Solutions
246 Solvers

Last Solution submitted on Jan 15, 2020

Last 200 Solutions

Problem Comments

3 Comments

3 Comments

Stephen Cook on 16 Oct 2017

Last test case is wrong. Does not catch 500^3 == 1160^2 + 11120^2 and 500^3 == 2000^2 + 11000^2 .

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.

Solution Comments

Solution 1289343

2 Comments

2 Comments

T. Dunker on 16 Oct 2017

Test 12: There are two solutions missing [1160 11120; 2000 11000].

Mehmet OZC on 16 Oct 2017

Thanks T. Dunker, I have corrected the mistake

Problem Recent Solvers246

Problem Tags

cody5 number theory

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 Solvers246

Suggested Problems

More from this Author59

Problem Tags

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 Solvers246

Suggested Problems

More from this Author59

Problem Tags

Players