Posts tagged number theory
The Most Mathematically Perfect Day o...
The Paley graph of order 9 is a perfect graph, making it an appropriate object of veneration and study on June 28, a perfect day. Image: David Eppstein, via Wikimedia commons.
Whether you write it 6/28 or 28/6, today is a perfect day. A perfect number is a number that is the sum of its factors besides itself, and 6 (1+2+3) and 28 (1+2+4+7+14) [...]
Graham’s Number Is Too Big for Me to ...
I was going to write an April Fool’s Day post with the title “Mathematicians Declare Graham’s Number Equal to Infinity.” Graham’s number is really big, but of course, it’s precisely 0% as big as infinity. On the other hand, everything we touch is finite, so in some sense, Graham’s number is probably & [...]
A Different Pi for Pi Day
Nope, not this kind of pi(e). Image: flickr/djwtwo.
The symbol π is overloaded in math: depending on context and capitalization, π could be the constant we all know and love (or hate), a projection, a product, or a function. There’s plenty of stuff to read about the circle constant, so today I’m writing about one of those other π& [...]
How Quadratic Reciprocity Is Like Dea...
Part of Baker’s explanation of quadratic reciprocity using cards. Image: Matt Baker. Used with permission.
Currently the Riemann-Roch theorem is my nemesis, and I stumbled on Matt Baker’s math blog while I was looking for some help figuring out how to use it. The post I came across, Riemann-Roch for Graphs and Applications, was no [...]
This Week in Number Theory
A visualization of the twin primes using an Ulam spiral. Created by Silveira Neto and shared under a Creative Commons-attribution-share alike license.
The week of May 12 was pretty big for number theory. I wrote about some of the blog coverage of the two major results.
By now you’ve probably heard the announcements of two big results in numbe [...]
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