The High Schooler Who Solved a Prime Number Theorem

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In his senior year of high school, Daniel Larsen proved a key theorem about Carmichael numbers — strange entities that mimic the primes. “It would be a paper that any mathematician would be really proud to have written,” said one mathematician.

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Both his parents are Professors of Math at Indiana University and have PhDs in math from Princeton University. His father won a Gold Medal in the International Math Olympiad, tying for the highest score. Daniel's Uncle on his mother's side is a Fields Medal winner. High intelligence runs in families...

irisce
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its always nice to see someone like this act so humble

doggosuki
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I went to high school with him. Dudes an actual genius

patrickjoyce
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I am 40. I decided that I wanted to learn mathematics and now doing a degree. I love number theory. And seeing this guy I now want to study more. Normally you have older people been role models to younger people. This man is a role model to an older man.

betaradish
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You can clearly tell how talented he is based on how confortable he was explaining his finding, I mean anyone can learn the formula to the fourrier transform in a day from wikipedia, but being able to draw high level abstractions from it, and using them in practice in novel ways goes to show how different he is from the rest, and by a large margin, as Granville stated. I love it, thank you Quanta for the video, and congratulations to Larsen for his amazing discovery!

fabianomenezes
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This kid is so humble. He doesn’t even realise it when he said ‘don’t be afraid to write these big names they’ll write back’ that they probably don’t usually write back. But they wrote back to him, because he is working at a PHD level or higher! One day he will be one of those big names. What an amazing person he is

sineadw
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Imagine being a pioneer of a mathematic theory at the age of 17. He's definitely exceptional even amongst the other prodigies. We've watched many stories of prodigies who just ends up doing what every other people already know. But contributing something new to the world is rare especially nowadays since most discoveries are done by big institutions and not by a sole man. Knowing a story like Daniel Larsen is refreshing. He has lot of years ahead of his life yet his name is already set to be remembered for generations to come. Truly an amazing kid

raicyceprine
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Apart from his maths genius, his complete humbleness & respect for others is incredibly refreshing to see in today’s world and an inspiring lesson to us all - whatever you do, keep working at it & give it your best, you never know where it will take you & stay true to good, honest values..

manny
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Man, I'm sitting here at my university as a graduate student working on a big assignment for my advanced numerical analysis class, been struggling all semester, stuff like that...When they showed some of Larsen's work here, which by the way is a lot more advanced than anything I'm doing right now, my jaw just dropped, haha. It both blows my mind and really puts into perspective just how amazing some people out there really are. Incredible stuff to see!

bidoofus
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I think what makes him so cool is not how he make a mathematical breakthrough, but rather how the takeaway he gave to the viewers is that the great people can respond to you. That shows a humility that I find extraordinary.

fletchercobb
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A truly intelligent person can explain something complex to people in a way that’s easy to understand.

This kid is talented.

lagunamusic
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I love how much he enjoys what he does. His work is immensely impressive, and it's all the better that he is contributing in a way that makes him feel good about what he's doing.

jmg
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You read and see stories about high school "geniuses" often, and they're almost always blown out of proportion. But Larsen is the real deal. That's an amazing level of understanding and complexity that he has mastered at a young age. He is a true genius.

homz
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He seems like not just a genius but also genuinely a really nice caring person! Hope he gets a fields medal one day!

johannsebastianbach
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I like how passionate this guy is about maths. I am not an academic by any stretch but this motivates me just by seeing how this guy is with maths

Richyw
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Congrats Daniel! Number theory is such a fascinating field with so many unsolved problems and problems yet to be discovered!

chrisoneal
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I can see a Fields Medal in this young man's future. So brilliant and hard working.

G
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Well I'm just an old mediocre scientist always in a survival mode in my research area, and looking back I didn't know the names of big shots even when in college. His respect for top-tier scholars is another proof of his genius. Everythings's so impressive about this young man.

arrau
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Sadly this goes over my head, but it is very apparent that this guy is not only smart as heck, but also incredibly humble. Doesn't feel like he's bathing in the attention, just happy about sharing math ideas. Great guy.

NikHem
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He articulates himself like a professor would delivering a lecture. Get this guy some funding and a research group to solve some big challenges. No time to waste here.

Zen_Power