Primes with Fermat

FILE INFORMATION
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primes.zip

Filename

primes.zip (Download)

Title

Primes with Fermat

Description

This program utilizes the fact that if you have two positive numbers A and B, and sqrt(B^2  A) is a positive integer, then B  sqrt(B^2  A) and B + sqrt(B^2  A) are factors in A. If A has two factors, ( which may or may not be prime numbers ), B is ( F1 + F2)/2, where F1 is the smallest factor. This is known as Fermats factorisation method. So B is always bigger than or equal to sqrt A and smaller than or equal to F2. Therefore this method is extremely fast when the two factors are of similar size. However it is just as slow a way, when there is a big difference in size, compared to an ordinary program, and so this program also features a very fast conventional program, which counts up much faster than the ordinary one. New in this version is a much faster program, that replaces the previous four. Enclosed is a link to a Wikipedia article on the subject.

Author

Anders Tiberg (anders.tiberg@telia.com)

Category

TI84 Plus C Silver Edition/CE BASIC Math Programs

File Size

4,557 bytes

File Date and Time

Sat Aug 17 16:05:12 2019

Documentation Included?

Yes


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