perplexus.info :: Numbers : Another Quickie

Home > Numbers

Another Quickie (Posted on 2011-03-13)

Let n and a be positive integers such that 3n^2=4a-1.

Prove that a is a difference of consecutive cubes.

Submitted by broll

No Rating

Solution: (Hide)

See Ady's spoiler for a neat solution.

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

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info