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Posts Tagged "prime numbers"

Roots of Unity

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’s. Today’s π is the [...]

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Roots of Unity

Carnival of Mathematics #103

Image: David Simmonds, via flickr.

Welcome to the 103rd Carnival of Mathematics! The number 103 is prime, and it’s the “older” twin of a pair of twin primes as well—or is it the “younger” twin because it comes later? Regardless, 101 and 103 are twin primes. According to Tanya Khovanova’s site Number Gossip, 103 is not only prime and happy [...]

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Roots of Unity

What Is the Funniest Number?

A triangle, heptagon, and 42-sided polygon meet at a vertex. Image: Dllu, via Wikimedia Commons

“There was only one catch and that was Catch-22, which specified that a concern for one’s own safety in the face of dangers that were real and immediate was the process of a rational mind. Orr was crazy and could be grounded. All he had to do was ask; and as soon as he did, [...]

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Roots of Unity

Introducing the Blog on Math Blogs

twin_primes_ulam_spiral1

I’m pleased to introduce a new American Mathematical Society blog: the Blog on Math Blogs! Over there, my co-editor Brie Finegold and I are featuring posts from around the math blogosphere to help you keep up with math news and find new math blogs to follow. We’ve been around for about two months now, and [...]

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Roots of Unity

Goldbach Variations

A letter from Christian Goldbach to Leonhard Euler

On Monday, Harald Helfgott of the École Normale Supériure in Paris posted a proof of one of the oldest open problems in number theory to the preprint repository arxiv. The ternary Goldbach conjecture, like so many questions in number theory, is easy to state but hard to prove. Every odd number greater than 5 can [...]

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