"I hope that...I have communicated a certain impression of the immense beauty of the prime numbers and the endless surprises which they have in store for us."
D. Zagier from "The first 50 million prime numbers", The Mathematical Intelligencer (1977)
PRIME NUMBERS
This page contains miscellaneous material and software about prime numbers and related subjects.
I've uploaded a program I wrote awhile back for personal use called Ifactor. It's quite simple but it might be useful. It factors integers and will also show the Mobius function value of the integer.
The program can factor large integers with a limit of 15 digits, more digits than that it becomes very slow. To factor really big numbers you'll need a program with a more sophisticated method. (Please see the downloads page to get the program)
Using the web program Factoris (this is a module under the WWW Interactive Multipurpose Server) below you can factor very large numbers.
There is no limit on the values and it can factor huge numbers, but the execution time is limited to about 20 seconds.
Factoris is from the WIMS (Web Interactive Multipurpose Server) web site run by the Universite de Nice Sophia Antipolis in France.
The web site doesn't provide much information about the program or method they used for factoring but it seems this CGI web application is using MuPAD to compute the results.
(There are are many other useful calculators on the WIMS page)
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