Tag: Programming

Integer Factorization: A New Preliminary Algorithm Based on “Ceiling Squares”
Advertisements DISCLAIMER: The factorization method described here is not complete. This algorithm sets up a quadratic polynomial which produces points for a later comparison step. I will describe the comparison yet to be done, but it is not yet part of the existing algorithm I have written. I have decided to formulate, and will later […]

My Integer Factorization Study: Locating an Odd Integer on Yesterday’s Chart
Advertisements I figured out the formula for determining the row (y) and column (x) position of an arbitrary odd positive integer on the chart I created and shared yesterday. It gives the row and column, and also the quadratic polynomials satisfied by all the odd integers in the row and column, respectively. This all bears […]

Preparation and Apprehension
Advertisements My wife and I are spending some time with our outofstate grandchildren, and with our daughter and soninlaw, in the State where I lived over half my life pursuing my Federal career. Also, I am using this opportunity to take delivery of a computer upgrade: replacing Christopher, my MacBook Pro I purchased last year […]

Factorization Perl Script Update
Advertisements I cleaned up the code for cf_exam.pl just now. Making the script better also made it a little shorter, but I doubt that it is any faster. Anyway, have at it!

Integer Factorization: A New and Very Simple Script
Advertisements A little over a month’s worth of mathematical and numerical study and effort, ending in an amazing week of realization about the structure of numbers and their factors, have led me to a finished product which, despite probably not being revolutionary, leaves me feeling very satisfied about what I have learned, and all the […]

My Integer Factorization Study: Final Report (Google Docs)
Advertisements Here is the link to my Google Docs summary of the mathematical study I have just completed, including all the information in my previous blog post, and more. https://docs.google.com/document/d/1OP7B7STeHaVhFaRU_DfjVCx2QUspB4jvPFUAlyhh8GI/edit?usp=sharing

My Integer Factorization Study: Maybe No New Discoveries, but a Fairly Good Program (I Think)
Advertisements After extensive study, and a great many discoveries which seemed exciting to me but that after investigation boiled down to properties of established concepts, I have been able to construct an algorithm that uses the difference between m and the smallest greater perfect square s to search for appropriate values of c and thus […]