There are Infinitely many Primes! - Euclid's Proof of the Infinitude of Primes

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Today we are going to cover the infinitude of primes! A quite cool proof right here, enjoy!

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[YourPhysicsSimulator]

"Euclid was a really ancient boi, he was from somewhere I don't know when. He was one of THE original bois."
-Papa Flammy, 2018.

[noobkilla]

2 reasons why this channel should have more subs-
Badass intro
An even more badass proof.

Happy Christmas papa flammy!!!


(btw, simon clark happened to mention u on his twitch stream. i can't for ur collab with him, whenever that may be. i'll wait.)

[Reliquancy]

now it shouldn’t be too much harder to prove there are infinitely many that are only 2 apart :)

[JanKowalski-zzef]

The way you write q lmao,
Looks like the female bathroom sign xD

[canned_heat]

I just started abstract algebra by Dummit and Foote and understood all the notation in the video. Felt pretty good.

[keyyyla]

Das Intro killt mich jedes Mal so hart 😂😂

[emiliogutierrez]

Muy buen video Alemania-boy. No entendí un sorongo, pero muy buen video.

[alexandersanchez]

A classic! This is actually the first proof in “Proofs from THE BOOK.”

[halyon]

0:02 that smile


That damned smile

[wojtek]

That one was easy, but how can you prove that there is at least one prime number?

[kesavareddy]

In the papa flammy random world
There are only -1/12 -f:g prime no. That's tao flammer

[kevinhartreal]

Hey papa, we all know about this proof, so could you make a second proof that there are infinitely many prime numbers? Love your videos btw <3

[stydras]

This simply not true. Since ℕ is finite (see M. Ababou's paper) and the set of all primes P is contained within ℕ, P has to be finite aswell. q.e.d.

[masonmps]

Saw that shirt and I had to have it, got the euleroid shirt too. Thanks for the memes papa flammy

[obinator]

I finally understood it lol, you‘re good at this.

[TheSam]

Well, you could also prove it with the fundamental theorem of arithmetic: every integer greater than 1 either is a prime number itself or can be represented uniquely as the product of prime numbers.
Ad absurdum: Suppose with have a finite amount of primes, then there's a finite amount of combination of primes, therefore there's a finite amount of numbers that can be constructed from them. But there's an infinite amount of natural numbers, so that can't be the case. QED boiii


But your proof is more badass

[esuskeleton]

WTP an abbreviation, for “What The Pack”

[TheBlueboyRuhan]

There are only p prime numbers ofc lol
That's like in, like, literally every maths proof ever like

[swordofdoom]

Maybe do some stuff related to infinite fractions? Or infinite under roots etc.

[David-jjdy]

When your cute eyes begin to speak it doesn' t matter what smart ass thing you have to say your still the apple of our eyes boi you are adorably it