]> Number Theory

Created 2003-01-01 Modified 2007-01-01
Chelton Evans

Number Theory

$3 | n \Rightarrow 3 | σ (n - 1)$
Complex numbers
Binary Search
Josephus Problem
$y = (x + (x^{2} + y)^{\frac{1}{2}})^{\frac{1}{m}} + (x - (x^{2} + y)^{\frac{1}{2}})^{\frac{1}{m}}$
Ceiling functions and triangular numbers
Constructing an Icosahedron
$(2^{a} - 1, 2^{b} - 1) = 2^{(a, b)} - 1$
The Chinese Remainder Theorem
Difference of Triangular Numbers
Notes on a Set of Pythagorean Triples
Extended Euclid's algorithm
Partition notes
Partitions in AP
$(a^{2} + b^{2})^{\frac{1}{2}}$
Power Series & Polynomial division
Fraction in base b
Matrix Orientation Iteration
Computing a Straight Line in Integers

Midpoint Line Algorithm
RSA
Perfect Numbers
Indexing into a triangular number pattern
equalities
Floors and Ceilings
Triangular Numbers Notes
mod Arithmetic
n013.xml
Divide and Conquer