 $1000 High School Calculus Student Award (Math Chat)  Frank Morgan, MAA Online
Solution to the challenge: Justin Smith calls 5939 a "right" prime because it remains prime after dropping any number of digits from the right: 5939, 593, 59, and 5 are all prime. How many right primes are there less than 1000? Is there a largest right
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 65m.p.h. Speed Limits, Large Primes, and Japanese Exams (Math Chat)  Frank Morgan; Christian Science Monitor
When a state increases a highway speed limit from 55 to 65 miles per hour, by what percent does the road capacity (in cars per hour) change?
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 Adventures in the MathZone  Ivars Peterson (MathTrek)
Ivars Peterson and his wife, Nancy Henderson, have written "a book that introduces children to a variety of ideas also of interest to today's mathematicians: knots, map coloring, Möbius strips and topology, prime numbers, chaos, fractals, and more. Our
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 Aesthetics of the Prime Sequence  Turpel Armand
A brief introduction to prime numbers, with a primality testing applet, a page on primes and music, primes and nucleotide bases, primes graphics, idiot savants and primes, primesrelated software, related links, favorite books, and a special page of Lyapunov
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 Algebra.Help  John Traker
Algebra.help is an online resource designed to help people learn algebra. It offers lessons to teach or refresh old skills, calculators that show how to solve problems stepbystep, and interactive worksheets for testing skills. To be notified of updates
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 Amby's Math Instruction, Reinforcement, and Learning Activities  Amby DuncanCarr
Stepbystep tutorials, with autoscoring quizzes: order of operations, solving word problems, properties of numbers, prime numbers, prime factorization, greatest common factors (GCF), least common multiples (LCM), simplifying (reducing) fractions, changing
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 Another Record Prime  Ivars Peterson (MathLand)
This time, it didn't take a supercomputer. The new record for the largest known prime number goes to someone using a Pentiumpowered desktop machine. Joel Armengaud, a computer programmer working for Apsylog in Paris, made the discovery on Nov. 13 and
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 Arithmetic Properties of Binomial Coefficients (Organic Mathematics Proceedings)  Andrew Granville
Many great mathematicians of the nineteenth century considered problems involving binomial coefficients modulo a prime power (for instance Babbage, Cauchy, Cayley, Gauss, Hensel, Hermite, Kummer, Legendre, Lucas and Stickelberger). They discovered a variety
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 Articles on Mathematics  Subramaniyan Neelagandan
Articles in four formats: DVI, PDF, PS, and TEX Code. The Distribution of Prime Numbers & Integer Factorization; The Simplification of Fermat's Last Theorem; Exploration of Collatz's Conjecture.
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 Autograph (Mathematics)  Eastmond Publishing Ltd
Autograph is visualization software that operates in two modes: graphs, coordinates and bivariate data; and singlevariable statistics and probability. Resources include graphs, statistics, screencam demos, Microsoft Word worksheets, PowerPoint presentations,
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 BigPrimes.net  BigPrimes.net
An archive of primes, plus information on each prime, and on prime numbers in general, number systems, types of numbers, and universal constants. The number cruncher will tell you facts about numbers you submit.
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 Calculators OnLine Center: Part II  Mathematics  Martindale's Reference Desk
Over 7,420 calculators for: Unit Conversion (Time, Distance, Length, Speed, Weight, etc.); Abacus; Basic Math; Complex Mathematics; Complex Math Education; Complex Math Calculators by Specialty: Algebra and Linear Algebra; Algorithms; Calculus; Central
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 CMP Software  Connected Mathematics Project, Michigan State University
Downloadable software designed to accompany CMP units. For the Factor Game winning strategies involve distinguishing between numbers with many factors and numbers with few factors; students analyze game strategies and are introduced to the definitions
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 Cubes of Perfection  Ivars Peterson (MathTrek)
...Six is the smallest perfect number. Twentyeight comes next. Its proper divisors are 1, 2, 4, 7, and 14, and the sum of those divisors is 28. Incidentally, if the sum works out to be less than the number itself, the number is said to be defective
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 Determinación Geométrica de los Números Primos y Perfectos  Omar E. Pol
Un breve ensayo en que "se describe la geometría que determina la distribución exacta de los números primos y también de los números perfectos. Se ilustra el texto con diagramas originales; se muestra el modelo principal
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 Divisibility Rules  Math Forum, Ask Dr. Math FAQ
How can you tell whether a number is divisible by another number (leaving no remainder) without actually doing the division? Why do 'divisibility rules' work?
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 Divisibility Rules to 50 and Beyond  Stephen D.T. Froggatt; Math Forum, Ask Dr. Math FAQ
A quick way of testing primality of larger numbers: the idea of deleting the last digit and adding or subtracting a multiple of the digit from the remaining number can be generalized to test for divisibility by prime numbers up to 50 and beyond.
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 Divisor Plot  Jeffrey Ventrella
"We hear of primes described as the 'building blocks' of all numbers. Let's turn that concept on [its] head. Instead, let's think of primes as the negative spaces behind complex objects. Imagine a series of picket fences stacked in front of each other.
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 Dream Frequency .com
CGI web applications to calculate the factors of a number, calculate the prime numbers below a number, test a number for primality, calculate a word's position in the alphabetically sorted list, convert hex to ASCII, or convert temperature from celsius
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 Eighth Grade (AAA Math)  John Banfill
Interactive math exercises, lessons, and games covering basic arithmetic concepts and methods, for eighth grade.
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 Entropia.com
The Global Internet Community for Science and Mathematics Distributed Research Computing, Entropia.com is a community dedicated to performing real research on a massive scale using ordinary home and office computers connected through the Internet. Entropia.org's
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 Eratosthenes' Sieve (Algebra Interactive!)  Arjeh M. Cohen, Hans Cuypers, Hans Sterk
An applet from the first chapter of the HTMLbased book Algebra Interactive!, an introduction to abstract algebra providing an algorithmic approach to algebraic structures ranging from the elementary structures of the integers, polynomial rings in one
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 Eratosthenes' Sieve with JavaScript  H. B. Meyer
An interactive animation with JavaScript of the sieve of Eratosthenes, showsing how the prime numbers <= 400 can be "sieved."
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 Evalwave.com  Ryan Ingram
Search or browse these lists of the first ten billion prime numbers and the factors of the first one hundred million numbers.
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 Excel Math  AnsMar Publishers, Inc.
Excel Math is a mathematics curriculum for Kindergarten through Sixth grade students. Students are repeatedly given practice in the use of the concepts, following their introduction, so that they retain them and develop a solid foundation on which to
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 Expression Calculator  D. Block, Vestris, Inc.
A calculator for Windows 95/98/NT that does 2D plots and financial functions, constants, operators, logical functions, dozens of common functions, primes and hyperbolic functions, students and Gauss integrals, Fresnel, elliptic integrals, trigonometric
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 The Factor Game (iMath Investigations)  Illuminations; National Council of Teachers of Mathematics (NCTM)
An online, interactive, multimedia math investigation. The Factor Game engages students in a friendly contest in which winning strategies involve distinguishing between numbers with many factors and numbers with few factors. Students are then guided through
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 Factoring and Primes (High School Math)  Homeworkhelp.com, Inc.
The words "Product" "Factor," "Factoring," and "Prime"; How do I factor a natural number?; How do I know if a number is divisible by 2, 3, 4, 5, 9, 10, or 11?; How do I know whether a number is prime (i.e. can't be factored any further)?; Table of 1000
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 Factorization using the Elliptic Curve Method  Dario Alejandro Alpern
A Java applet that factors numbers up to 1000 digits long, outputting their number of divisors, sum of divisors, Euler's totient, Moebius number, and sum of squares. Also accepts numerical expressions.
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 Factors of 1000 numbers starting from googolplex  Dario Alejandro Alpern
Known prime factors of numbers in the range 10^(10^100) to 10^(10^100)+999.
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 Finding Prime Factors  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about finding prime factors, along with divisibility rules for some prime numbers.
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 The First 10,000 Primes  Chris Caldwell; Dept. of Mathematics & Computer Science, Univ. of Tennessee at Martin
The first 10,000 prime numbers, in a table.
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 FTL
An online magazine with articles about space, science, and science fiction. Features include a series of humorous articles by Ian Stewart, with topics ranging from lattice polyhedra (and conceptual art) to Diophantine equations (and camels).
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 Fully Interactive Prime Number Simulation
A primality simulation created from three simple rules: each number N creates a circle with a radius of N; the circumference of each circle is divided by N, creating an arc of length of circumference/N; and each arc makes a complete rotation in N iterations.
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 Gaussian Primes  Jim Loy
This is an introduction to Gaussian primes, complex numbers with integers for real and imaginary parts that are divisible by themselves and 1, but no other complex numbers with integer coefficients. This shows calculations of the first few Gaussian primes.
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 Goldbach's Prime Pairs  Ivars Peterson (MathTrek)
Prime numbers serve as building blocks in the mathematics of whole numbers. Evenly divisible only by themselves and one, primes are a rich source of speculative ideas that mathematicians often find simple to state but difficult to prove. The Goldbach
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 Guessing the Prime Number Theorem and Treacherous Logic (Math Chat)  Frank Morgan, MAA Online
The Prime Number theorem says that the probability P(x) that a large integer x is prime is about 1/log x. At about age 16 Gauss apparently conjectured this estimate after studying tables of primes. Greg Martin suggested to me a heuristic way to approach
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 HAKMEM  Beeler, Gosper, Schroeppel; Artificial Intelligence Laboratory, MIT
A list of math and computerrelated problems, unsolved in 1972 when the list originated, compiled "with the hope that a record of the random things people do around here can save some duplication of effort  except for fun." Topics include: Geometry,
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 High School Tutoring in Math  Roger Frye
A computer consultant interested in computational mathematics and tutoring. The site includes a demonstration of a prime number sieve and a calculator that adds and multiplies fractions.
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 Home Page of John B. Cosgrave  John B. Cosgrave
The author of A Prime For The Millennium, in which is outlined his discovery of what he calls a 'millennium' prime, (a prime number with exactly 2000 digits), also provides links to a Fermat number record and the possiblity of a 6th Fermat prime. Prof.
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 Icon Odds and Ends  Dept. of Computer Science, Univ. of Arizona
Icon is a highlevel, generalpurpose programming language with a large repertoire of features for processing data structures and character strings; an imperative, procedural language with a syntax reminiscent of C and Pascal, but with semantics at a
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 Ideas, Concepts, and Definitions (MegaMath)  Nancy Casey; Los Alamos National Laboratory
A glossary and reference page to help students learn more about mathematics and find out what some of the special words mean. Topics: Doing What Mathematicians Do; Truth and Proof; Mathematical Objects and Their Properties; Modeling and Abstraction; Algorithms;
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 Infinite Primes  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about whether there is an infinite number of primes, and the frequency of their distribution.
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 Integer Sequences and Arrays  Clark Kimberling; Dept. of Mathematics, Univ. of Evansville, Evansville, IN
Certain seemingly simple sequences of integers baffle the best mathematicians. Other sequences, less baffling, exhibit patterns  or absence of patterns  whose appeal shines beyond whatever applications these sequence might find outside mathematics.
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 Introduction to Number Theory  X.D. Jia; Southwest Texas State College
Lecture notes (1996): Factorization of Integers; Congruences; Quadratic Residues; Continued Fractions.
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 Investigating Patterns: Number Patterns Fun with Curves & Topology  Jill Britton
Annotated list of links within various number pattern, curve, and topology topics. Linked items feature activities for students. Topics include: prime numbers/magic squares, clock or modular arithmetic, the golden ratio, Fibonacci numbers, binary numbers/Pascal's
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 Javascript School Math Toolkit  Jeff LeMieux
JavaScript Pythagorean solver, proportion problem solver, percent proportion problem solver, chord to circumference calculator, denominator to repeating decimal checker, subtraction worksheet generator, addition worksheet generator, multiplication worksheet
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 Joe's Number Theory Web  Joe K. Crump
Methods for factoring large numbers, exploration of 2^n mod n, equal sums of like powers, tridigital squares, balanced bases, and Weiferich primes.
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 John Moyer's home page  John Moyer
Print all of the primes less than 2000000000 within a range of integers; obtain source code for a sieve program; download a Windows NT commmand line program or a Linux binary program to print the prime factors of an integer; use an online sieve to find
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 Kids Math
Elementary and intermediate drill exercises/games (timed, with answers shown correct or incorrect) for learning addition, subtraction, multiplication, division, fractions, decimals, measurement, graphs. In English, Spanish, and Chinese. Also prealgebra
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