11086
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Exponential Congruences
Congruences of the form
display many regular patterns, as explained by theorems from Fermat and Euler, among others. The plot shows the values of
within the complete residue system
for domain values
, the modulus
, and the exponent
.
Contributed by:
Richard Roe
SNAPSHOTS
DETAILS
Snapshot 1: little Fermat theorem
Snapshot 2: quadratic residues of 7
The initial settings are a particular demonstration of Euler's criterion.
RELATED LINKS
Congruence
(
Wolfram
MathWorld
)
Modulus
(
Wolfram
MathWorld
)
Residue
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Exponential Congruences
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ExponentialCongruences/
Contributed by:
Richard Roe
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
Modular Addition, Multiplication, and Exponentiation
Rudolf Muradian
State Transition Diagrams for Modular Multiplication
Stephen Wolfram
Consecutive Smooth Numbers
Ed Pegg Jr
Frobenius Equation in Two Variables
Izidor Hafner
Set Partitions Match Restricted Growth Functions
George Beck
Coloring Cycle Decompositions in Complete Graphs on a Prime Number of Vertices
Michael Morrison
A Family of Generalized Fibonacci and Lucas Numbers
Abdulrahman Abdulaziz
Paths through a Grid
Jaime Rangel-Mondragon
Pascal-like Triangles Made from a Game
Hiroshi Matsui, Toshiyuki Yamauchi, Daisuke Minematsu, and Ryohei Miyadera
Prime-Generating Recurrence
Eric Rowland
Related Topics
Discrete Mathematics
Number Theory
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+