10044
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Sum of Three Triangular Numbers
Triangular numbers are integers of the form
; they are 0, 1, 3, 6, 10, 15, 21, 28, …. As a teenager, in 1796, Gauss proved that every positive integer can be written as the sum of three or fewer triangular numbers.
Contributed by:
Ed Pegg Jr
THINGS TO TRY
Slider Zoom
SNAPSHOTS
RELATED LINKS
Triangular Number
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Sum of Three Triangular Numbers
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/SumOfThreeTriangularNumbers/
Contributed by:
Ed Pegg Jr
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Number Theory Tables
Ed Pegg Jr
Discrete Number Theory Plots
Ed Pegg Jr
Resizable Number Theory Tables
Ed Pegg Jr
A Parabola Sieve for Prime Numbers
Enrique Zeleny
The Number of Partitions into Odd Parts Equals the Number of Partitions into Distinct Parts
George Beck
Digit Mosaics
Hector Zenil
Unsolved Conjectures about Egyptian Fractions
Ed Pegg Jr
The Pigeonhole Principle - Repunits
Ed Pegg Jr
Plotting Collatz Sequences
Mark D. Normand
Asymmetric Propeller
Ed Pegg Jr
Related Topics
Historical Mathematics
Number Theory
High School Algebra II and Trigonometry
High School Mathematics
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+