Just discovered what a torsor is. Genuinely life changing.

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.

Funny story Years and years ago, at 1637 , the mathematician Ferme wrote in the sides of a math book he was reading he found a "wonderfully simple proof for this, but this edge doesn't have the room for it". Ferme then died, i guess without writing the whole thing as it was never found. It took 350 years to prove this and it spans 200 pages of math so complex it surpasses what most 1st degree in mathematics students know at the end of their degree. People are still looking for the "exceedingly simple" solution but the popular theory is that a) he made a mistake b) he did a little trollin //problem attached//

my beautiful daughters cosin, sin and tan

nothing more frustrating than a beautiful and intuitive proof that's wrong

"average cat owner spends 3 years in prison" factoid actualy just statistical error. average owner spends 0 years in prison. Miette's mother, who kicked her body like the football and went to jail for One Thousand Years is an outlier adn should not have been counted

had a physics problem on my final that was like "given a power acting a constant mass, write the force in terms of time (no other forces acting on mass)" and i was like "oh easy!! i can just do this by fanangling my formulas" it was not easy i could not do it

Room decoration steps 0-7 complete

cheers :3

quick lil ETHOwO redraw

dadan made them take it

dadan addition here

make your decision, i know it's a tough one

(i hope I did the math right on this)