174627560650599227+100919519*23#*n for n=0..24
(31 Jan 2020 at 19:10)
Hello again! I got a little bit stuck on my most recent project because I don't have the right tools to do it the best way, which has created a sort of analysis-paralysis, but I like to think that one is wrapping up. Of course I still need to make a video which will take 9999 hours. Winter's computational space heater made a decent discovery, which is an Arithmetic Progression of Primes. An AP is some starting number x, and some positive stride s, where a progression of numbers in this sequence are all prime:
x, x + s, x + 2s, x + 3s, x + 4s, ...
For example with x=3 and s=2, we have 3, 3+2, 3+2+2 prime (and then 3+2+2+2=9 is not prime), yielding an Arithmetic Progression of length 3, or "AP3". The longest such progression known is an AP27, the only one yet known found last year:
for 27 consecutive primes! Only twelve AP26s are known,* and my computer found an AP25:
i.e. 174627560650599227, 197141985783328757, 219656410916058287, 242170836048787817, ...
only 133 AP25s are known* so it's a pretty lucky find, although of course people care a lot less about finding these than about finding huge primes (AP1s, if you will.)
* Technically an AP27 contains two AP26s, and three AP25s (etc.) so these numbers undercount a little.
Aside from the secret projects and winter hibernation, I played a slightly-old puzzle game called Closure which was pretty good. Definitely an interesting mechanic that they get plenty out of, if perhaps with slightly sluggish controls. I also just started Luigi's Mansion 3 for the cozy-factor, but you probably don't need me to tell you about AAA franchise Nintendo titles. I rarely recommend TV on here, but the second season of Castle Rock was unexpectedly good, if you like that sort of thing (first season is fine but there's no reason to watch them in any particular order). OK byeeee
Hello and happy new year! I’m currently at a party and basically forgot to post, which is fine because I didn’t finish anything this month! I did make progress on my project, but then also expanded the scope (as is my way) and then also ruined a part of it, both activities pretty much consuming all the free time of the holiday break with such excursions. I've still been running the prime-finding space heater as described in post 1175 but my luck has regressed to the mean and I have no new primes despite running for 30x longer than last time. The winter slows me down for sure. In the melancholy I played a few video games, which were unremarkable except for Fidel Dungeon Rescue, which I really like. It’s described as a roguelike, but it’s really a puzzle game. It won my heart when I convinced myself that one level was impossible, then implemented a solver for it, which made me realize I was missing something, but then convinced myself that it was still impossible, but then the solver solved it and proved my brain is soft.
One interesting thing that happened this month: A few weekends ago it was feeling cold in my office, so I thought about turning on a space heater, but why do that when I've got a 850W power supply hooked up under my desk that can provide a "useful" resistive load? My current projects don't have any long-running computations, so I fired up PrimeGrid, which is a distributed computing project that lets you hunt for prime numbers (etc.) using your stupidly overpowered home computer. Amazingly, the next day, I had discovered this prime:
2609×21549069 + 1
It's a Proth prime, one of the several special forms of numbers that have efficient primality tests. This particular one is 466,320 decimal digits long, in fact big enough that when I discovered it, it was the 3461st largest prime number known to mankind (see its entry in the list of Top 5000 Primes). As you know, computers are pretty fast these days, and there exist many nerds, so this number has already slipped 62 places to #3523.
Finding this on my second day was pretty lucky, although not really beginner's luck since in college I ran Prime95 ("Great Internet Mersenne Prime Search") on any computer I could get my hands on. You can see my historic page exhorting internet strangers to join the Tom7 prime team for example. Apparently we were once in the top 100 teams in the world, so I think I deserve a prime 20 years later, right?
I finally assembled my current project and it is kind of working! There are several things I can do to improve it, which I am trying, but at this point it at least does something interesting/funny enough to make into a video. Next the trick will be finding the right stopping point. I was hoping to get a lot done over Thanksgiving break (mercifully, not traveling this year), but (not mercifully) I immediately got sick and have spent most of my time playing Pokémon in bed or warming my toes on the prime-powered heat sink. So sad to finally have some free time but not have the energy. Oh, well!
Well, not that much to say about October. This is the busiest time of the year at work, and this year for some reason particularly so, and I don't get much time to do anything but that.
Two running-related things. The Shadyside (that's my neighborhood in Pittsburgh) 5k was earlier this month, and I finished with a time of 20m21s, which is pretty good for a 40 year-old (6m33s/mile). This continues the recent theme of coming close to PRs I set as a 30 year-old, with some dubious excuse (in this case, I "felt sick that morning") to explain the gap, and to motivate myself to keep trying to match/beat those old times and "just lose 15 pounds" etc.. We also traveled to Kentucky, my first time there, for the Ragnar "Bourbon Chase", which event is a relay race from Louisville to Lexington, which route passes through the sites of various bourbon whiskey distilleries. William calls it the "Kentucky Bourby," which IMO should be canonical. Ragnars sound like a lot when you say it's a 200 mile relay, but that's split over 12 people, and honestly the running is not really the hard part (it's all the sleep deprivation and van logistics). Two of my legs were kind of monotonous but one was very scenic, almost "Kentucky" pastiche, with the rolling hills and perfect fences and horses and grasses. It was also cool to visit these distilleries (and e.g. Four Roses was moderately open for us at 3am), but this kind of running and sleep deprivation doesn't really set the best mood for drinking whiskey and touring the grounds (e.g. in the dark), so maybe it is not the best way to visit Kentucky's whiskey scene. Still, was a good trip.
Games-wise, I finished RAGE 2 (IMO a fine game as far as dumb shooters go, I think underrated even) and a little bullet hell roguelike called "Monolith," which I liked. This weekend I unwisely installed Call of Duty: Modern Warfare (distinct from "Call of Duty 4: Modern Warfare" and "Call of Duty: Modern Warfare Remastered"; cf. related joke) and have been saving America over and over. It's exactly what you'd expect.
I've found some time to spend on my ongoing engineering project, and made some impossible-to-undo steps (e.g. cuts into irreplaceable pieces), which is an unarguable sign of progress. This weekend I finally did one of those integration steps where I first tested a bunch of things together, and unnervingly it worked on the first try. I still have one mechanical part that I think has a pretty good chance of not working due to my naivety, in which case I will have to get creative, which is part of the fun!
Happy 40th birthday to me! I'm currently in Connecticut visiting with the whole family, which is only somewhat coincidentally on my 40th birthday weekend. The main thing is the pizza! Two quick updates from this month, strawberry-related:
One of my all-time favorite games, Celeste, just got a new free 9th chapter (which is sized more like three chapters). This was a mixed blessing since over a year ago I finished all its hardest levels (all achievements) and then managed to pry myself from it. So I felt compelled to get the two new achievements to get back to 100%, but it was a somewhat hypnotizing and RSI-inducing grind. (Especially since I had gotten pretty rusty. I even forgot that you can hold onto walls, which made the first few levels much harder...) The worst part was that the final level was rumored to be kinda ridiculous, and the "WOW" achievement even moreso, so I was feeling worried about that the whole week it took to get through the prior 99. All told it was pretty worthwhile; the level design is really admirable as usual, and it stays true to the signature difficulty curve. I recommend it.
Second is a font sighting sent by a friendly Internet stranger. This one is from a fairly popular (18M views this month) music video called Fresa, which features Columbian Reggaeton artist Lalo Ebratt. A sighting in such a video would be interesting, but the wildest thing is where it is:
Yes, that is Action Jackson used on his highly permanent neck tattoo that reads "THUGGER" (presumably short for "Tree Hugger"). It seems to be a fairly new tattoo, but you can find many more images of it to verify. I hope it ages well!