perplexus.info :: Numbers : Cubic Diophantine

Cubic Diophantine (Posted on 2024-04-18)

Find six distinct positive integers A, B, C, D, E, F, G satisfying:

 A³ + B³ = C³ + D³ = E³ + F³ = 19G³.

Please submit primitive solutions only, that is, A, B, C, D, E, F, G should not have a common factor.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

G A, B: 70 560 210 C, D: 198 552 210 E, F: 315 525 210
For an explanation, refer to:
The solution submitted by Charlie in this location.
The solution submitted by Larry in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Computer solution	Larry	2024-04-18 09:38:23
computer solution	Charlie	2024-04-18 08:57:42

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (6)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info