Prime Numbers as Building Blocks - Euclid's greatest discovery

[PeckerWoods101]

It just stopped, I wanted it to carry on! :(

[ArtOfTheProblem]

@PeckerWoods101 Hey, this is just a slice of a much longer episode "Gambling with Secrets" subscribe to my channel and you'll be the first to see the rest!

[miinimiiki]

Hey! Love the videos, keep em coming if you can please!

I was just confused about how you (or Euclid) multiplied the prime factors to get the original number? 30 = 2*3*5, but 20 =/= 2*5. You say that they can be multiplied in a "special combination" but order does not matter in multiplication so are you referring to say 20 = 2*2*5?

And therefore this unique set of numbers being multiplied is equal to it's unique key? Thanks and hopefully I didn't cause more confusion haha =]

[ArtOfTheProblem]

@miinimiiki Sorry! When I said "special combination" i forgot to mention that this allows you to repeat factors. So actually it's better to say that the combination is the exponents applied to each prime block. For examples for 20 we have {2,5}. So that means the prime factorization of 20 much be 2^a *5^b. The "special combination" is picking a and b. so a=2 and b=1 since 20=2*2*5 which is the same as 20=2^2*5^1

Perhaps in the next version I'll explain using this method instead, thanks!

[CJCruiser]

@ArtOfTheProblem Loved the video - the style / music / cinematic-ness of it I suppose it is, and wanted to chime in and say that expanding on the special combinations this way sounds like a good idea

[burnslakeonline]

Woah, wish someone showed me this a long time ago...

[cooldude3240]

@burnslakeonline i know, right? I already know this from years ago.