The sum of consecutive cubes is a square

Summing up some cubes I noticed that 13 + 23 + 33 + 43 = 100, which is 102. And the pattern held as I added more cubes (i.e., I kept getting squares). This is well known in the world of mathematics and number theory, but it was new to me. Extending the pattern:

The sum of the consecutive cubes is a square

And that makes these triangular numbers. And that means that every triangular number squared is the sum of cubes. It works both way in being interesting.

Leave a Reply

Your email address will not be published. Required fields are marked *

You may use these HTML tags and attributes: <a href="" title=""> <abbr title=""> <acronym title=""> <b> <blockquote cite=""> <cite> <code> <del datetime=""> <em> <i> <q cite=""> <strike> <strong>