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Title: Math/Number Theory/Prime Numbers - The First 5,800,000 Prime Numbers Site includes known primes k*2^n-1 for k=301 to 999.
Formulae_for_Primes Contains a formula by Jones, Sato, Wada and Wiens. The set of primes is the set of positive values taken by this expression.

Generalized_Fermat_Prime_Search Software, results and other resources.

Generalized_Woodall_Numbers An organized search for primes of the form n*b^n-1.

Hardy-Littlewood_Constants Infinite series over primes are the main topic in Hadamard-de la Vallée Poussin constants and in Brun's constant.

Henri_Lifchitz Research in number theory, prime numbers and parity of arithmetic functions. Includes primality testing theorems and prime number chains. In English and French.

Introduction_to_Twin_Primes_and_Brun\'s_Constant An article by Pascal Sebah with the results of computation of the twin primes up to 5.10^15.


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The First 5,800,000 Prime Numbers

and other minutiae.

I've been interested in prime numbers for many years. I finally decided to put up a web page with what you will hopefully find helpful. If you are looking for information on what prime numbers are, try The Prime Pages - More than you ever wanted to know about prime numbers If you are just looking for all the prime numbers, I have posted files containing the first 5,800,000 prime numbers. This is a complete set of all primes from 2 through 100,711,433. Click here for the first 5,800,000 primes IF you try to download all of them you will find that this site will suddenly stop working. There is a download limit of about 4MB/hour. If you are really interested in small primes and want more than a few million, you can download the program I used to create these. This program will find all the primes from 2 through 2,147,483,647. In case you are wondering that is the first 105,097,565 prime numbers. Small Prime Finder can check about 180 million numbers per hour on a 300MHz Pentium II ®. Download Small Prime Finder And when is the 64 bit version going to be available? Story of the 64 bit version of Small Prime Finder Recently I've been interested in primes of the form K * 2N-1 for K=301 to 999. I try to maintain lists of all the primes that have been found and all the ranges that I am aware have been checked. Click here for lists of what has been found. If you are also interested in this form of prime you should check out Michael Hartley's site. He maintains a reservation system for searching and a copy of the list of primes. (His site is where I get many of the primes that end up on my list after checking.) Michael Hartley's Prime site The program that I use to find these primes myself was written by Yves Gallot and is called PROTH. It is free and can be found here: http://www.utm.edu/research/primes/programs/gallot/ I have also found another program written by Torbjörn Alm to be very useful in selecting ranges to be searched. He calls this program CONGPROTH. CongProth computes congurences for numbers of the form h*2^n-1 for any n and h where h is odd. The result can be used to estimate the time it will take to search any given range. Note that this program is only for Woodall numbers. Like PROTH, it is also free. Download the latest version (9/29/01) of CONGPROTH. Copyright © 2000-2006 Dale Andrews - All Rights Reserved This page was created 04/2/00 and last modified 03/05/06. It is maintained by Dale Andrews. Please email primefinder@hotmail.com with comments and corrections. URL: http://www.geocities.com/Primes_R_Us/index.html geovisit();setstats 1
 

Site

includes

known

primes

k*2^n-1

for

k=301

to

999.

http://www.geocities.com/primes_r_us/

The First 5,800,000 Prime Numbers 2008 November

dvd rental

dvd


Site includes known primes k*2^n-1 for k=301 to 999.

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