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Ubasic
Here I would like to link to a site that has many programs involved with number theory, but notably Ubasic, a program that, among other assets, allows calculation with numbers up to 2600 digits. The .ZIP package also includes a help file that will help even a beginning programer to write complex programs. Here is the link:
http://archives.math.utk.edu/software/msdos/number.theory/ubasic/.html
Or, to look at all the other great programs that they are giving away for free, go here:
http://archives.math.utk.edu/software/.msdos.directory.html
Those are MSDOS programs, go here for Mac stuff:
http://archives.math.utk.edu/software/.mac.directory.html.
Don't get lost! I did.