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  About site: http://www.math.utah.edu/~alfeld/math/prime.html

Title: Math/Number Theory/Prime Numbers - Notes and Literature on Prime Numbers With applets to demonstrate properties of primes.
Number_Spiral Explains this method of visually representing the distribution of primes and the relationships between factors and products.

On-Line_Encyclopedia_of_Integer_Sequences_(OEIS)__Primes Index to information about many integer sequences involving primes. Site includes numerous other prime-related sequences.

Patterns_in_Primes Examples of mostly digit patterns collected by Harvey Heinz.

Primality Introductory text on the theory of prime numbers and number fields. Contains proofs of some important theorems including the fundamental theorem of arithmetic. [PDF]

Primality_Testing_with_Fermat\'s_Little_Theorem Test numbers for primality and pseudoprimality in Java.

Prime_k-tuplets Tony Forbes' extensive collection of special types of prime clusters.


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Notes and Literature on Prime Numbers Understanding Mathematics by Peter Alfeld, Department of Mathematics, University of Utah

Notes and Literature on Prime Numbers

A prime number is a natural number greater than 1 that can be divided evenly only by 1 and itself. Thus the first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, ... You can see a longer list of prime numbers if you like, or you can play with the Sieve of Eratosthenes, which is an ancient method for identifying prime numbers. The link points to a page with an interactive applet. Using the applet requires that you have a Java compatible browser. You can use another interactive applet to explore the Prime Number Theorem, the distribution of prime twins, and the Goldbach conjecture. The reason why 1 is said not to be a prime number is merely convenience. For example, if 1 was prime then the prime factorization of 6 would not be unique since 2 times 3 = 1 times 2 times 3. A number that can be written as a product of prime numbers is composite. Thus there are three types of natural numbers: primes, composites, and 1. A useful book on working with prime numbers computationally is: Hans Riesel, Prime Numbers and Computer Methods for Factorization, Birkauser Verlag, 1985. A standard textbook of Number Theory, intended for use in a first course in Number Theory, at the upper undergraduate or beginning graduate level is: I. Niven, H.S. Zuckerman, H.L. Montgomery, An Introduction to the Theory of Numbers, 5th edition, Wiley, 1991. Another interesting text is: Paulo Ribenboim, The Book of Prime Number Records, 2nd ed., Springer Verlag, 1989. A major application of number theory and prime numbers is in cryptography. An excellent introduction to this area is: Kenneth H. Rosen, Elementary Number Theory and its applications, 3rd ed., Addison Wesley, 1993, ISBN 0-201-57889-1.

Click to view the largest known prime number

Click to find out more about large primes.

Fine print, your comments, more links, Peter Alfeld, PA1UM [11-Nov-1996]
 

With

applets

to

demonstrate

properties

of

primes.

http://www.math.utah.edu/~alfeld/math/prime.html

Notes and Literature on Prime Numbers 2008 November

dvd rental

dvd


With applets to demonstrate properties of primes.

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