perplexus.info :: Just Math : Cubic Diophantine Conclusion

Cubic Diophantine Conclusion (Posted on 2016-04-22)

Each of A, B and C is a positive integer that satisfies this equation:

A³ + B³ = 31C³

Find the smallest value of A+B+C

See The Solution Submitted by K Sengupta

Rating: 4.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

Start

| Comment 2 of 9 |

It has a solution for x=137, y=-65, z=42 (find it in google)

But here y is not a positive integer. The puzzle states that there are more solutions. Perhaps it is possible to calculate them from this one.

Posted by armando on 2016-04-22 17:39:38

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (11)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info