All fermat numbers up to 2^2^32+1 are known to be composite. That number has over 10 billion digits. The 65537-gon took 10 minutes to calculate and is nothing compared to 2^2^32+1.
@@doggosscience2837 there isn't a computer good enough to calculate the construction YET. who knows what these bunch of space monkeys on a giant blue rock may come up with next
@@vamshitarun4399 nah it’s a major competition held underground by the 257gonians. The current record for the most accurate 257-ton is held by Marcus terry with an (estimated) accuracy of 97%
My dad just gifted me his 30 year old radio 10 minutes ago that i put classical music on. I got recommended this video just now. The amount of intelligence radiating off me is insane, this is a core memory for me now
I need a video of Americans pronouncing names. I get it if you don't have a sound in your language, I don't expect you to pronounce the ch in Bach or the click in Xhosa correctly, even the tb in Tbilisi is a little hard. But every time an anglophone calls e^-x² the goh-shun curve a piece of my soul dies
the most extreme, legendary, godlike, second coming of Christ, Holy Grail-esque, duohectopentacontheptagonal, absolute masterpiece of a homepage pull 🔥
Oh i thought it was duocentipentacontheptagon duo for 2 because in duodecagon (12-gon) duo means 2, so that specific prefix is kept for other numbers as well. Hundred I think is Centi because of the polygon “centagon” meaning 100-gon duocenti would mean 200 Pentaconta of course means 50 And hepta means 7 Edit: ok I looked it up, it’s hecto instead of centi because hecto is derived from the Greek root for 100 while centi is the Latin root for 100 The prefix used in naming polygons comes from Greek roots so that means it’s hecto not centi.
Por favor, que alguien me diga cómo construir un tridecágono. Hace poco vi un video de cómo alguien construyó un hendecagon regular usando un método neusis.
The last known prime. There is a tiny chance that a larger prime exists in that form, but we have already proved that numbers up to 2^2^32 are composite.
@@rtxagent6303 that shouldn't be the case tho? per difference of squares 2^2^82 - 1 = (2^2^81 - 1)(2^2^81 + 1) iirc if a number 2^n - 1 is prime then n must itself be prime
Beautiful video, but you sound quite monotonous which makes it seem like you’re not interested at all Also your mathematician names pronunciations could use some work
mythical homepage pull
fr
Real
Fr
fr
one in a gorillion
Draw a circle. Nobody will question.
@@ojosshiroy8544 mathematicians:
Engineering mindset. Actually, they'll probably do this for anything above an hexagon
@@KepleroGTPi = 3 after all haha
Cómo dibujar una circunferencia pero con pasos extra. ☝️🤓
This is so well made and explained. I feel like my brain has grown another 257 grooves
@@vlaicu6230 your brain wanted to have 257 dance parties? 🕺💃
Wait doesnt that mean its gone smoother
My brain learned how to ignore obvious information
1:31 slight correction: largest KNOWN. It is not known whether there is another large Fermat prime, but it also has not been disproven.
Exactly, I was going to comment that too
If we find another Fermat prime, there wouldn't be a computer good enough to calculate the construction
@@doggosscience2837only for a little while
All fermat numbers up to 2^2^32+1 are known to be composite. That number has over 10 billion digits. The 65537-gon took 10 minutes to calculate and is nothing compared to 2^2^32+1.
@@doggosscience2837 there isn't a computer good enough to calculate the construction YET.
who knows what these bunch of space monkeys on a giant blue rock may come up with next
oh my godd i needed this last night, i lost a bet that i couldnt construct a duohectopentacontheptagon
Thank you I needed this for the 257-gon drawing competition
joke?
@@vamshitarun4399 nah it’s a major competition held underground by the 257gonians. The current record for the most accurate 257-ton is held by Marcus terry with an (estimated) accuracy of 97%
@@vamshitarun4399 maybe do some research before you comment
@@escope-escopemarcusterry? JTOH REFERENCE?
Last place I expected to see a jtoh reference
My dad just gifted me his 30 year old radio 10 minutes ago that i put classical music on. I got recommended this video just now. The amount of intelligence radiating off me is insane, this is a core memory for me now
Not everyday do you learn to construct a duohectopentacontheptagon!
Wait so you're telling me pentagons could be contructed, this ENTIRE time?
God-tier algorithm pull
Also, Euler's name is usually pronounced like "oiler." Be prepared for a load of comments correcting you 😉
also, the t in Fermat is silent.
interesting, I always said üler
I need a video of Americans pronouncing names. I get it if you don't have a sound in your language, I don't expect you to pronounce the ch in Bach or the click in Xhosa correctly, even the tb in Tbilisi is a little hard.
But every time an anglophone calls e^-x² the goh-shun curve a piece of my soul dies
@@MooImABunnylap lace
*headbutts you* YOULERRRR!?
(sort by newest to see my original comment)
legendary homepage pull
thank you bro I needed this for my math homework
the most extreme, legendary, godlike, second coming of Christ, Holy Grail-esque, duohectopentacontheptagonal, absolute masterpiece of a homepage pull 🔥
Rare algorithm W
The RUclips algorithm cooked with this recommendation
When the algorithm hits, it HITS
Wow, Up Next actually gave something cool and interesting for the first time ever
My god, it's beautiful . . .
This sounds like you're explaining why the universe exists.
Please, use radians instead of degrees
then you have to convert the 257 into radians too
@@vamshitarun4399that’s ez, math.rad(257)
video starts at 15:29
Should be top comment
@jesusthroughmary yeah
I'll settle for 17, thanks.
RUclips pulling a W moment
Also a W video
this is a very good video
You can approximate the 257-gon reasonably well with nothing but a compass!
Awesome! Now do a 65537-gon! It’s still constructible!
257, 65537! The two largest fermat primes!
Thank You
these patterns remind me too much when i had to brush through fast fourier transforms.
That one specific airplane company:
Euler is pronounced oiler.
SpongeBob drawing a circle be like
I think i saw a construction of a heptagon somewhere.
Heptadecagon is definitely constructable (proved by Gauss), but heptagon is not.
@@CosmicHase it could be an approximate heptagon, or a non-compass-and-straightedge construction
@@ValkyRiverA regular heptagon can be constructed with oragami because oragami can actually "solve" cubics
@@ValkyRiverso a compass and tomahawk construction?
What is the correct name for a 257-gon? Heptapentacontadihectagon or dihectapentacontaheptagon?
I think it's dihectapentacontaheptagon
Oh i thought it was duocentipentacontheptagon
duo for 2 because in duodecagon (12-gon) duo means 2, so that specific prefix is kept for other numbers as well.
Hundred I think is Centi because of the polygon “centagon” meaning 100-gon
duocenti would mean 200
Pentaconta of course means 50
And hepta means 7
Edit: ok I looked it up, it’s hecto instead of centi because hecto is derived from the Greek root for 100 while centi is the Latin root for 100
The prefix used in naming polygons comes from Greek roots so that means it’s hecto not centi.
@@rtxagent6303
It's actually dihecta (200) pentaconta (50) heptagon (7)
Also, it's dodecagon, not duodecagon for a 12-gon
@@scmtuk3662 Wait. Have I been saying dodecagon incorrectly my whole life?! Is it all a lie?
really hitting the t on Fermat LOL
Do you have a version without the music?
yo what's the music? I swear I've heard it before and as a classical musician I automatically must know
Brahms symphony #2
Update: I just found it out because of this one specific excerpt I played for an audition lol
@@Square-one123 I also played this for an audition
awesome
Por favor, que alguien me diga cómo construir un tridecágono. Hace poco vi un video de cómo alguien construyó un hendecagon regular usando un método neusis.
Folkoric recommended pull
god algorithm pick
n199@ u just repeated the top comment
Wait so the last prime of that form is 2^2^4+1?
The last known prime. There is a tiny chance that a larger prime exists in that form, but we have already proved that numbers up to 2^2^32 are composite.
@@rtxagent6303 that shouldn't be the case tho? per difference of squares 2^2^82 - 1 = (2^2^81 - 1)(2^2^81 + 1)
iirc if a number 2^n - 1 is prime then n must itself be prime
@@VoidInstructions Not sure where I thought I found this, but yeah it’s not true. The largest known prime is no where near that magnitude.
homepage pull
Now do 65537-gon
Bro really said yooler
nice
Nice video, though Fermat is pronounced “fur-maw” and Euler is pronounced “Oil-er” lmao
So its a Dihectopentacontaheptagon?
When you dont know how to derivatives you know how to make a 257-gon
alright so show us bro
its pronounced fermau
was looking at silver on the homepage and i found gold.
W algorithm
y-youler? youler?! *breaks table with head* YOULER!?
just make a circle bro
Hamburger
Please day the names right, it hurts me when you say Fer-mat and you-ler
*throws myself at you* YOULERRRRRRRR!?
(sort by newest to see my original comment)
Beautiful video, but you sound quite monotonous which makes it seem like you’re not interested at all
Also your mathematician names pronunciations could use some work
I had a cold while recording this :L Also I could have done more research on the pronunciations
.
When is new @standupmaths Collab to do it IRL coming out?