
The PanContinuum Gateway
Advertisements Sometime in the 1990s, I placed, in a work of popculture fan fiction, a rainbowy, swirly device that seemed original to me, a PanContinuum Gateway between all fictional universes, with rules and even an enforcement organization, to keep bad things from happening, bad things caused by creators of fiction who were unscrupulous. These creators […]

Integer Factorization: Dreams and Plans
Advertisements I am working several ideas, and haven’t dropped any of the recent ones I’ve started examining. The weeds/woods are deep and thick. It’s all worthwhile. Plus, I woke up before my Sunday alarm today from dreams that played with the Fermat differenceofsquares approach and my current algorithm that uses it. MIRIAM is still with […]

Integer Factorization: The Obvious Obstacle I Always Seem to Hit with a Thump
Advertisements It occurs to me my new factorization method is likely not to be any faster than the old, because of a simple observation: I am still iterating values to add to the Ceiling Square of m and testing. There will not be an improvement, at least not the one I seek, until I can […]

Integer Factorization: The Remaining Puzzle in Its Newest Form
Advertisements Here is what I have established now, and have used in forming the algorithm I shared this past week: I have chosen to repeat a small set of definitions and concepts I have established in other posts and papers, for clarity. Let m be an odd positive integer we wish to factor. Let c […]

My SelfDestructive (but Goodly Intentioned) Skepticism
Advertisements Looking back on my life from the vantage point of being 65, it occurs to me that I have been quite skeptical, for what I still believe to have been good reasons, at the exact times such skepticism would hurt me most. It does not help that at least as frequently, I faced life […]

Integer Factorization: So It Comes Down to This, Take 276
Advertisements . . . you know, this used to be fun 😀 . . . J/K, y’all, you know I’m enjoying the heck out of this number study, still. Life’s stresses have had a way of, strangely, normalizing the still very active Inspiration Process (MIRIAM), working together, of course, with the probability of anything that […]

Integer Factorization: A Preliminary Characterization Script, in Perl
Advertisements I am posting a Perl script here that illustrates the algorithm I described in my previous post, a first step to what I hope could be a new approach to integer factorization. The characterize.pl source code follows: Sample runs follow:

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: Progress, 29 August 2022 (Pretty Dry Stuff)
Advertisements I’ve updated the testing “scratchpad” for the first example I’ve been working, and have added a second one. I’ll add a third one if I need more help in teasing a general algorithm out of all of this. That’s entirely possible. First, for m=1501, with more of the process written in: And then, for […]

My Integer Factorization Study: Inching Toward Realizations
Advertisements This last tack I’ve developed to look at Ceiling Squares, differences between perfect squares, and their relationships with factoring m=pq where p and q are odd prime numbers is getting exciting, but the excitement and inspiration seems a bit more mundane this time, more rooted in daytoday thought processes and not those early morning […]