• ## Constellation 2071

Advertisements Its smallest prime factor is 19. Thus, it’s a bit of a bigger view. I can start to see some parabolic patterns. This is interesting.

• ## Integer Factorization: Meet the MetaConstellation

Advertisements I am so in the weeds with this, now. LOL Sometimes, when the MIRIAM process (Moving Inspiration Rapidly Into Accepting Minds) gives me a glimpse of somewhere in this integer factorization study that I can go, something that I can do to assemble an idea into reality … the process tells me NOTHING about…

• ## Something Is Taking Form…

Advertisements … Or is it? Your guess is as good as mine right now. Stay tuned to my Integer Factorization posts, here on this blog. There may be something afoot. (I certainly hope so!)

• ## Integer Factorization: The Fly in the Formulaic Ointment

Advertisements What you see above is a graph whose shape and jagged characteristics are similar to those of graphs I have been examining for two years, though they have shown up in different stages in my study and growing understanding of the problem of fast integer factorization. Most recently, my quickfact.pl Perl script and the…

• ## NEW! – Integer Factorization – Perl Script quickfact.pl

Advertisements Here is a new script for integer factorization that, though probably not faster than the current best algorithms, has on its side compactness, which does help with speed. I have not written it for, or tested it on, arbitrary-precision discrete semiprimes, but expect the speeds to be comparable, and hope they might even be…

• ## Integer Factorization: Brief Remainder Line Observation

Advertisements The slope and y-intercept of the Remainder Line for an odd integer m=c2-r with Ceiling Square c2 and Remainder r on the Zone Grid increase linearly over all values of m having the same r, according to their c value. This is something I’ve already programmed in to jumpfactor.pl: It calculates the Remainder Line…

• ## Integer Factorization and the Zone Grid: Constructing and Using Remainder Lines

Advertisements First of all, I want to write down on my blog some of the nitty gritty, in a fashion I hope will be clear, of how I construct and use the Zone Grid I have been using in my calculations and explorations, and my discovery of how to plot thereon the Remainder Line corresponding…

• ## Integer Factorization: Update for 25 September 2023

Advertisements An incidental quirk i noticed in jumpfactor.pl outputs led me to scurry to program a jumpfact2.pl based thereon, but which produced a speed-up in only one out of the fifty test numbers (10 to 12 digits) of my discrete semiprime data suite. What that exciting/disappointing work caused me to pause has resumed: a more…

• ## Integer Factorization Update 9/21/2023: The Zone Grid, The Trivial Jump, Etc.

Advertisements It’s been a week of inundation by ideas. I’ve battled headaches and all of the struggles of balancing potentially good mathematical revelations with all of life’s necessary other concerns. I am in a play – It’s a small role, but I am also the Musical Director for some gospel song interludes the director wants…

• ## Integer Factorization: The Least Ceiling Square LCS(r)

Advertisements Let m be an odd positive integer. Let c be the least positive integer for which c2 is greater than m, which is odd if (m+1)/2 is odd and even otherwise. c thus defined is the Ceiling Root of m, c2 is m’s Ceiling Square, and the difference between m’s Ceiling Square and m…