Primes and Primitive Sets (an Erdős Conjecture is cracked) - Numberphile

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Videos by Brady Haran

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When guys like Adam Savage talk about the magic of Numberphile, this is *exactly* the kind of video he's referring to. A young mathematician finding beauty in a famous conjecture, works in his spare time to prove it, and all throughout the video Brady is not only teasing out the points that help us laypeople understand it, but also highlighting the personality of the mathematician himself. Youtube at its best.

adamplace

It makes me smile thinking that, if Jared was born 300 years ago, his name would appear in textbooks and we'd probably have nothing but a single painting of him to know what he looked like. And yet here we are, watching a YouTube video of him explaining his theorem for free.

Seth_M-T

Perfect Numberphile content. Complex but beautiful problem - simply and clearly explained. Plus an Erdős connection. More from Jared Duker Lichtman please.

twrhancock

11:15 -- I can appreciate the modesty, but "Erdös-Lichtman" is a pretty boss name for a theorem.

The Erdös-Lichtman Primitive Set Theorem. Very cool.

TKNinja

What a fantastic communicator. He knew just the right tidbits to throw in to help people through his explanations. He was excited and charming. I hope to see him back here!

joe

One can easily see how well this man understands this subject by the clarity of his explanations.

mighty

btw, Jared's supervisor is (I believe) James Maynard, who has been on the channel before! As a side note, I'm super bummed that Brady came to film in my department while I was there and I didn't see him - the reason I applied to do maths at uni was the twin prime conjecture video that Brady did with James Maynard (and then I got to take his course on analytic number theory, which was super cool).

pigworts

I read an article about the discovery, about him and how he's working on it since his last year of bachelors; I read his paper and now I'm watching his numberphile video interview. His explanations are so clear and precise, just like his paper! Loved this video. I had a hard time understanding Erdos sums before. Especially his proof of the constant. No idea if this is useful but how interesting! So beautiful!

sugatmachale

I love how Brady asks smarter and smarter questions as the years go by, now being more and more knowledgeable in maths than when he started

NikolajLepka

"When you discover something in math, out of humility you don't name it after yourself, you wait for your friends to do it for you, but sometimes your friends don't follow through."
-- (supposedly) Richard Hamilton, who discovered Ricci flow which was the technique used to prove the Poincare conjecture

johnchessant

I love this. I hope Jared will become a Numberphile regular...

pseudomonad

I absolutely love these interviews with mathematicians talking about their work, especially the recent discoveries.

happy_labs

I love Brady's constant need to name things after the subject he's filming. Good to see a humble young mathematician doing good work. And he's right - it's nice when there's things like this that confirm that primes are special.

jddes

It makes a lot of sense to put his name on the Theorem! The Erdos-Lichtman's Primitive Set Theorem.

One name for the guy that proposed and for the guy that proved it.
Must have been a sensational theorem to make such a contribution to the math world.

andrebenites

Lovely clear explanation, Jared is a very nice addition to this channel. I hope he will be in more videos. Kudos to him for making the conjecture a theorem!

AmmoBoks

Brady is such a great interviewer. He asks the questions that I dont think of, but when he does, I wonder why I didn't think to ask such an obvious question.

gregb

I really enjoyed hearing about how this was a bit of a "candelight theorem" for Lichtman. Amazing that he took the risk and followed his true passion to prove it. Thanks for sharing and teaching us!

Max

Wow proving a number theory theorem in the 2020’s.. that’s quite an accomplishment. Gauss would be impressed!

Mutual_Information

The best part of following Numberphile over the years is seeing how much math Brady has picked up. The questions he asks now are so clever and mathematical! I remember when Brady was afraid to even make conjectures!

luckywssbi

11:14 he's so humble, heartwarming to see.

Pasora

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