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Discrete Number Theory Plots

The plot of a number theory function can show either a definite pattern or chaos. In this Demonstration, the capabilities of Mathematica's DiscretePlot are shown with a variety of number theory functions. The table entry in row

and column

Contributed by: Ed Pegg Jr

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(48 lines omitted)

N. J. A. Sloane, The On-Line Encyclopedia of Integer Sequences. (2007)
http://www.research.att.com/~njas/sequences

Binary (Wolfram MathWorld)

Carmichael Function (Wolfram MathWorld)

Composite Number (Wolfram MathWorld)

Cubic Number (Wolfram MathWorld)

Decagonal Number (Wolfram MathWorld)

Digit Sum (Wolfram MathWorld)

Divisor Function (Wolfram MathWorld)

Even Number (Wolfram MathWorld)

Heptagonal Number (Wolfram MathWorld)

Hex Number (Wolfram MathWorld)

Hexagonal Number (Wolfram MathWorld)

Identity Function (Wolfram MathWorld)

Möbius Function (Wolfram MathWorld)

Nonagonal Number (Wolfram MathWorld)

Octagonal Number (Wolfram MathWorld)

Odd Number (Wolfram MathWorld)

Pentagonal Number (Wolfram MathWorld)

Prime Gaps (Wolfram MathWorld)

Prime Number (Wolfram MathWorld)

Prime Counting Function (Wolfram MathWorld)

Smooth Number (Wolfram MathWorld)

Square Number (Wolfram MathWorld)

Squarefree (Wolfram MathWorld)

Squarefree Part (Wolfram MathWorld)

Square Pyramidal Number (Wolfram MathWorld)

Ternary (Wolfram MathWorld)

Tetrahedral Number (Wolfram MathWorld)

Totient Function (Wolfram MathWorld)

Triangular Number (Wolfram MathWorld)

"Discrete Number Theory Plots" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/DiscreteNumberTheoryPlots/

Contributed by: Ed Pegg Jr

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