Goldbach Conjecture (extra footage) - Numberphile

Extra footage from interview with David Eisenbud at MSRI.

NUMBERPHILE

Videos by Brady Haran

[sdcair]

Interviews with David Eisenbud are always great!

[linazso]

Uncle Petros and Goldbach's Conjecture <3 loved that novel!

[chaoslab]

Thanks again for the extra footage! :-)

[HeavenlyTennyo]

Brady, I love hearing the questions you ask that catch the mathematicians! You're much smarter than you let on ;)

[fatsquirrel]

woohoo, a new math book recommendation. Maybe ask them all for suggestions. I'd love to grow my math library a little.

[unvergebeneid]

"Number theory has exploded in recent years." says Eisenbud. "I know!" says Brady, giggling and rubbing his hands together.

[emmaturrubiartesavila]

Does anybody know if there's a link between Goldbach's conjecture and the Riemann hypothesis? I mean, imagine there's a connection that asserts that Goldbach's conjecture implies Riemann hypothesis :)))

[RadicalCaveman]

Bravo librarians! Those shelves are very tidy. Not the way I remember UC Berkeley libraries at all...

[martinepstein]

Relating to Brady's question: Do the primes appear to be a minimal set for generating all even numbers > 4 by adding two elements? If not, what primes can we skip and still get sums for the even numbers calculated so far?

[DanPeala]

Ahh, the Numberphile2 people. The real math(s) nuts.

Lemme get my tea real quick.

Alright, now I can enjoy this with class.

[santoslima]

My grandfather solved the Goldbach problem. We are from Kazakhstan. We just dont know how to publish it.

[emuccino]

It sounds like he's always in the middle of a yawn

[micpin]

Will anybody who solves the Golbach win the Fields Medal or Abel Prize?? What other prizes would be on offer??

[xyzct]

Hahaha ... you can tell it's a math library by all of the yellow Springer-Verlag textbooks.

[jm]

The equations and proof that defines the prime number sequence were proven five years ago and subsequently the proofs to the Strong and Weak Goldbach conjectures as well as the Twin Primes at the same time. I enjoy your channel.

[eulogiogarcia]

With the method of decomposition of each pair in pairs of addends; Enfer Diez : They prove that in todo 2n there is always 2n - p = p_{1}. See : video Conjectura de Goldbach (Irrefutable).

[jorenheit]

Could there exist mathematical truths that cannot be proven? If so, could that statement itself be proven to be true? If not, could it be proven to be false? (Don't say "axioms".)

[PlasteredDragon]

Is it just my machine or is the audio really fuzzy?

[helloitsme]

From which even number on can even numbers be expressed as two distinct primes? Let's see.
2 NO
4 = 2+2 but those are not distinct so NO
6=3+3 so NO
8=3+5 YES.
Will this keep going let's see.
10=3+7 YES
12=5+7 YES
14=3+11 YES
16=5+11 YES
18=7+11 YES
20=3+17 YES
22=5+17 YES
24=5+19 YES
It seems to go on forever can somebody prove to me that an even number above 6 can always be expressed as two distinct primes? TY

[hanishsutaria]

Why did he correct himself with 'arbitrarily many primes' instead of just saying 'infinitely many primes' at 3:09? Is there a difference?