|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:
x=224584605939537911, s=18135696597948930 for 27 consecutive primes! Only twelve AP26s are known,* and my computer found an AP25:
x=174627560650599227, s=22514425132729530 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.)
i.e. 174627560650599227, 197141985783328757, 219656410916058287, 242170836048787817, ...
* 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