perplexus.info :: Numbers : Sum of Cubes

Sum of Cubes (Posted on 2004-05-25)

Prove that the sum of consecutive perfect cubes (starting with 1) is always a perfect square.

For example:
1=1
1+8=9
1+8+27=36

See The Solution Submitted by Gamer

Rating: 3.4000 (5 votes)

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

Subject	Author	Date
Puzzle Solution: Formal Method	K Sengupta	2022-01-06 01:49:28
What Gamer perhaps had in mind.	broll	2011-10-10 02:38:30
Puzzle Solution	K Sengupta	2008-11-27 13:24:04
Solution	Praneeth	2007-08-14 00:55:25
re(2): an arbitrary n solution...	ryan	2005-09-20 04:43:38
re: an arbitrary n solution...	Dan	2005-09-06 08:14:32
an arbitrary n solution...	ryan	2005-08-14 21:55:39
solution	Pemmadu Raghu Ramaiah	2005-01-09 02:45:14
No Subject	Pemmadu Raghu Ramaiah	2005-01-09 02:31:13
algebraic solution	Danny	2004-05-25 16:45:17
Difference Method	Richard	2004-05-25 16:06:56
Solution	e.g.	2004-05-25 13:10:38

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