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Category Archives: Number Theory
Musings on a Mathematician’s Duties
As I mentioned in my last post, I wish a genie would grant me thorough understanding of the proof Shinichi Mochizuki proposed for the abc conjecture. Much of this wish is motivated by a desire for the divisive debate to … Continue reading
Posted in Math Communication, Number Theory, Publishing in Math, Uncategorized
Tagged ABC conjecture, duties, ethics, IUT theory, mathematicians
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Functions Too Cool For Facebook. But Don’t Worry, We’ve Got You Covered
Today is the official launch of the Lfunctions and modular forms database. The LMFDB is a database containing all the relevant information about millions of mathematical objects. Set up like a Facebook for mathematical objects — by objects I mean … Continue reading
Posted in Events, Number Theory
Tagged Emmanuel Kowalski, encryption, LMFDB, Riemann Hypothesis, terry tao, Tim Gowers
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Packing Heat: The World Of Sphere Packings Is On Fire
Suppose somebody hands you a bunch of oranges and asks you to stack them on a shelf, I’ll bet I can guess how you would do it. You’d build a pyramid by laying down a base layer and then fill … Continue reading
Opening The Cryptographic Backdoor
Unless you’ve been living off the grid somewhere in an igloo build out of old discarded iPhones, you’ve probably heard about the recent standoff between Apple and the US government. The short story, is that the US Government has demanded … Continue reading
Posted in Data Science, Mathematics and Computing, Number Theory
Tagged Apple, cryptography, iPhone
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There’s a New Prime! And It Looks Like…Wait…What?
A new prime has been discovered. It’s really long. Over 22 million digits. And the number has just been sitting on a computer in the middle of Missouri unnoticed since September. But that’s not the crazy thing about it. The … Continue reading
Getting Primed For Halloween
Maybe it’s the chill in the air or the changing leaves, maybe it’s the ache in my belly from too much candy corn, but whatever the reason, I’ve been in the mood for spooky halloween things this past week. I’ve … Continue reading
Posted in Number Theory, Recreational Mathematics
Tagged Carl Pomerance, Cube, Math Movies, prime factors
2 Comments
That Time Terence Tao Won $500 From Paul Erdős
Suppose you have some arbitrary sequence of 1 and 1, something like this 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, …. And suppose you start plucking entries from fixed intervals and adding them together. For … Continue reading
In Praise of Teamwork
Part of what makes math blogging so interesting is that it helps to build connections between the people creating math and those consuming math. The evolution in math blogging and blossoming of math on twitter has done a great deal … Continue reading
Posted in Number Theory, people in math, Uncategorized
Tagged David Farmer, LMFDB, Terrence Tao
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Online Toolbox For Number Theorists
Sometimes I wonder: how did people do research before the internet? Not only do electronic communication and dropbox folders make longdistance collaborations a piece of cake, there are also just so many useful things on the internet. When I stand … Continue reading
Medaling Mathematicians
You may consider the Fields Medal a boon to the mathematical community as it showcases amazing young mathematicians and brings math into the limelight. Or you may view the Fields Medal as an unfortunate reinforcement of the notion that mathematics … Continue reading