#Prime Factorization

[rotationalsymmetry]

Ahhh we're about to get a whole new year!

2024 is definitely divisible by four, because 24 is and any multiple of 100 is. Actually dividing gives us 506. That's divisible by 2 (because last digit is even) leaving 253. That's...hmm. Not divisible by two or five, or three. Or seven (253+7 = 260, 260 = 13*2*10 and integers have unique factorization so that's not divisible by 7, and that means anything 7 away from it also won't be.) It's...oh, of course. It's divisible by 11.

(If you sort of zipper out the digits and add them up and they add up to the same number, or are a multiple of 11 apart, the original number is divisible by 11.)

It's 11*23, in fact. 23 is prime. So we got:

2024 = 2^3 * 11 *23. An extremely delightfully not-prime number.

[math1089]

Mathematical Beauties of the Number 142587

There are some mysteries that the human mind will never penetrate. To convince ourselves we have only to cast a glance at tables of primes and we should perceive that there reigns neither order nor rule.Leonhard Euler Welcome to the blog Math1089 – Mathematics for All. I’m glad you came by. I wanted to let you know I appreciate your spending time here on the blog very much. I do appreciate your…

[roddity]

i can only imagine optimus’ and megatrons reaction to THE autobot golden boy committing fraternization of the worst degree 😭

wholly unsurprised but supportive of bee despite that :]

[michaelrotonal]

If you're wondering why that's not tagged "prime number" it's because this is 11 x 59

649

[waitineedaname]

I think the effects of leaving a fandom unsupervised for too long needs to be studied

[transingthoseformers]

Every time Optimus gets cloned, when the clone isn’t born braindead or dies in the test tube like a stillborn, they proceed to just be completely unhinged.

Optimus is a mature, calm and levelheaded individual, therefore his clones should be as well, right? NOPE. Every last one of those fucks is batshit crazy with no regard to their own personal health and safety, and end up being public health hazards. Each and every one of them is absolutely feral.

The longest surviving Clones (aka The Maniacs Who Have Yet to Kill Themselves), Nemesis Prime and Toxitron, seem to be on a lifelong nihilistic, amorous, hedonistic Crashout.

Everyone looks at Optimus and silently wonders if he is okay. What is going on in that brain.

Optimus isn’t about to deny that he’s holding onto his sanity with a shaky grip right now.

I want to stick the three in a Situation together and make them have hard conversations

I feel like the three of them need them

[prime-factorizer]

I'm thinking of a number in 1 through 100 in my head, what does it factorize as?

1<n<100 factorizes as

where p_i is the ith prime number and a_i is the largest integer such that p_i^a_i divides n

[willowreadsgayfanfiction]

[skitskatdacat63]

Kinda kills me how consistently Undertale and now Deltarune put out characters absolutely primed to become tumblr sexymen, like is it specifically because of what game they're from(and the fandom for it), or does Toby Fox truly have his finger on the pulse...?

[emilinqa]

category seven tuvok/janeway/chakotay moment. thinking about betrayals of trust. i shant speak

[lets-try-some-writing]

Yesterday, I had to do my Earth Science Regents, and the first question was about gravity. That made me wonder…

How does Earths Gravity affect the Team? How does it differ from Cybertrons Gravity?

Thank You!

Well look at that, more world building. Nice!

━━━━━━ ⊙ ❖ ⊙ ━━━━━━━━━━━━ ⊙ ❖ ⊙

Gravity on Cybertron was an interesting thing. Cybertronians are an incredibly large and heavily built species. As such their world is gargantuan and has much greater gravity to support them. Back on Cybertron their gravity was simply a fact of life, it was normal. Most never reached the stars, and there were only a few odd places underground that had differences in gravitational effect. Overall they assumed what they endured was perfectly normal and were totally at ease with the effort it took to move and generally get around. However when the great exodus occurred and the remaining Cybertronians took to the stars, those that came to Earth were in for a surprise.

Those that had been to the stars were used to weightlessness, but it was just as common as the intense gravity of Cybertron when all things were considered. Earth's gravity however was FAR less heavy than Cybertron's yet not without gravity like in the depths of space. The immediate response to this was absolute panic and chaos. Team Prime were trained warriors and veterans of increadible skill. They were made to adapt, but there were quite a few difficulties before they got used to the world they now resided on.

Bumblebee was used to having to run his engines on incredibly high setting in order to achieve the speed needed to get from point A to point B. Along those same lines, he was also used to having to carry around days worth of energon rations so that he could maintain the force needed to move through the slog that was Cybertron's gravity at the needed speed. But upon arriving on Earth, his usual training when flying out the window when he threw himself into his alt mode and took on the speed he tended to fall to. Instead of moving at a reasonable pace, Bumblebee was sent careened across the landscape so quickly that he immediately spun out of control, doing roughly three flips through the air before he landed on a building. The team could only watch on in horror as Bumblebee attempted to get up only to move with speed he wasn't used to, promptly leading him to skid out of the rubble in his root mode and trip over his pedes. The speed needed to move at a casual pace on Cybertron was more than enough to cause the average bot to lose control.

Arcee ran into a similar problem with controlling her speed, but her main issue came when she tried to get used to her blades again. Her attacks came far quicker than she was used to with the use of the same amount of power she was accustomed to. In order to conserve energy and not tear something to shreds, she had to lower her power output. However that in turn meant that as soon as she lost focus, Arcee turned into a burned ball of rubber in alt mode or a spinning set of blades. There were several times were she got frustrated in the beginning and ended up flying against the nearest wall in her alt mode or overshooting by an increadible margin when sparring.

Bulkhead adjusted quicker to the change in gravity due to how heavy set he already was. His biggest issue was grip control considering how much easier it was to break things when he didn't need to expend nearly as much strength to do so. He would march along with the strength he normally used and ended up breaking holes into the floor. In the beginning he would even try to reach for an energon cube only for it to explode into a mess of goo for the same reason. He became a beast on the battlefield with how much easier it was to take a swing, but in turn he also took a long time to get used to being sent flying at any severe hit. Cybertron didn't have that issue, and in fact it war harder to get any solid air when needed.

Cliffjumper had the easiest time dealing with the shift in gravity. He was more accustomed to having to swap around his movement and speed. However his issues came when he tried to push the boundaries a little too far and test the limits of what he could do on a foreign world. Some tricks simply don't work as well with less gravity, including several flips and other parkour moves. Many times Cliffjumper leapt down from a short drop off with the intention to tuck and roll and immediately get back up, as the more oppressive gravity on Cybertron allowed due to how it limited excessive kinetic energy. But on Earth, such an attempt always left him spinning like a pinwheel across the ground, getting dirt and grime in every seam of his plating. Trying to do flips became far easier, but the resulting landing similarly left him reeling since he always tried to stiffen up, expecting gravity to keep him stable.

Ratchet for his part didn't suffer much due to the difference in gravity. The hardest thing for him was remastering his motor control, which was an overall quick process. However there were a few notable incidents where he picked up a scalpel only to crush it by accident or when he attempted to work a fine machine only to instead destroy delicate wiring. It drove him up the wall, but he spent increadible amounts of time adjusting in private so as to not make a scene. As such none knew of the various explosions that came in the wake of his efforts to work with chemicals without proper control of his servos. The only one who suspected a thing was Optimus, and that was only because the Prime was quick to notice the absence of certain materials and the presence of scorch marks instead.

Optimus for his part was similarly quick to adjust, and in fact his biggest problem came from his attempts to leap and attack that way. He was used to having to throw his entire frame into every jump and leap before then having to put his very spark into the effort of climbing and firing. The most height he got on Cybertron was a few feet, but suddenly on Earth he was sent careening through the air with enough power to make him momentarily wonder if he'd sprouted wings. Several times he tried to jump on the battlefield only to go flying through the air like a bullet. There were also instances were he would attempt to do a short skip to reach something only to crash into the thing he was attempting to grab. Ratchet lamented Optimus's adjustment period greatly.

Earth's gravity was so much lighter, and in turn gave the bots that much more power and speed. But in return their control and ability to move normally suffered greatly for it. Thankfully the children never witnessed their blunders.

[danmeichael]

If SY were to interact with other MXTX characters how many and who do you think he'd be able to wifebeam

the only characters he absolutely would NOT be able to wifebeam are hua cheng, xie lian, and lan wangji. i believe without a doubt he would wifebeam wei wuxian though. he is so vulnerable to beautiful scholarly autistic men.

the majority of side characters are absolutely done for though. wen ning? gone. obliterated. pei ming? fucked. absolutely fucked. sy bottles bisexual awakenings and forcefeeds them to unsuspecting victims. jiang yanli is a married woman but i think she and jin zixuan could blow his back out together. aromantics are immune from the romantic implications of the wifebeam but will still be obsessed with him in some way. only lesbians are safe.

[inkyknight]

Me: To avoid the combat becoming stale, the next Zelda game should focus more on combat, with multiple skills that you unlock through exploration instead of giving it in the beginning and enemies with good ai that are able to deflect and dodge basic attack to force a strategic approach using said skills-

Also me: OH! you mean

Twilight Princess??

[michaelrotonal]

3 x 3 x 73

657

[smartsmears]

Finished Star Trek TOS season 1, it impressively holds up well. Now that I'm done, I can say pretty firmly that if you can get past the 60's sensibilities, TOS season 1 is a much better and more approachable Trek entry point than TNG Season 1, which is a wild thing to say.

Some takes:

Starting from later Trek, the interpretation of the Prime Directive does rankle me. Some absolute classic episodes are also the ones where Kirk kinda just decides he needs to fix the planet and I'm thinking "hey that's not how this works." Worst offender of this dichotomy is This Side of Paradise. There's also a number of episodes that are really all about stalling for time until something at the end comes out of nowhere to save the day, but this isnt really a complaint because those episodes are more just about how people react when put in certain situations and the discussions they end up having because of it.

Personal fav episode: The Galileo Seven

Shit: The Alternative Factor (obviously)

Ranking season ones I've seen so far:

TOS>PRO>LD>SNW>TNG>PIC

Notes on ranking:

I maintain that for the most part, every modern animated season of Trek is better than every modern live action season of Trek. Lower Decks doesnt quite find its vibe until episode 4, but the only real miss in S1 is the Fletcher episode, and it's a better rewatch. Prodigy is the only other time it feels like the show knows exactly what its doing from episode 1. (Also I have watched Discovery I just skipped to S3.)

[transingthoseformers]

🥺 I'm thinking about ovoviviparous situations with megop and/or megasound