Proof by Contradiction (2 of 2: Infinite primes)

[maxwellchiu]

After looking at this problem for an entire day, yours is the first lecture that explains the critical step of adding "1" to "break" the factorability of x-1. Incredibly helpful. Kudos. Subscribing to channel right away.

[Simon-xitb]

It helps if you know this axiom which this proof is using: Any integer which is > 2 is either a prime number or can be written as a product of primes.

[YThome]

Who thinks clearly - talks clearly.
The best explanation I've seen.
And as a teacher I will repeat it again and again:
There is nothing better so far invented than a class board.
There is no substitute for good language.

[mgtowvalues]

This was great, but at 8:07, one should have raised the question of why X could not be divisible by a non-prime, only to quickly remind that non-prime numbers are always re-factorable into prime.

[GoutamDAS-lswb]

Thank you so much Professor Woo. The best video on Euclid's proof on the web

[miicro]

Great explanation, makes it very easy to understand. Thanks a bunch

[akilasultana]

Best explanation I've found on this proof thank you!

[ap-jbxm]

I didn't understand how we could place +1. I mean you said x= product of all the prime numbers, then how could we place 1?

[thatnohrianscum]

Your explanation of why Euclid added 1 to x was really helpful and clear! My teacher glossed over it so I was confused.
Thanks for the clarification! :D

[sarthaksharma]

What a great video, loved it, That's how the contradiction works everyone. Great work Mr. Eddie

[arfanm]

After finding 100 of videos and 1000 Powerpoints to learn to solve this type of problem on internet, I have finally found the most easiest way to understand the problem. Thanks a lot Genius!!

[Elaichii]

The only Professor's explanation I actually UNDERSTOOD!! Thank you :')

[papiscalps]

Wow you're much better than my own prof.
Thank you so much for the detailed explanation.

[mansibramta]

I fell in love with maths listening this....♥️

[calvinvertli]

Oh my... I wish you was my year 1 Math professor...

[lordtrollalot]

errrr ... OK .. lets say: 13 is the biggest Prime-Number .. 2×3×5×7×11×13 = 30030 + 1 = 30031.... 30031 / 59 = 509.... so i just proofed 13 is the biggest Prime-Number???

[misan]

Is there any mathematical basis for adding one? Cos to me it just looks like it's something you did and is therefore not a constant proof. Does that make sense? Please explain this to me

[TALKmd]

Wow, the way you teaching is really enthusiastically clear, and therefore i get the material.in a energetic thinking!

[YThome]

I usually first remind to a class definitions which would be involved in a reasoning. In this case I would remind definition of "prime devisor", after that most would remember that we are not listing a number of devisors but prime devisors. Presentation and instructor are superb.

[MaybePossible]

Thanks a lot! I have spend a day finding this proof through articles and videos, but this is the clearest explanation i've got comparing with any other.