New Mathematical Proof of the ABC Conjecture

A pleated surface on the boundary of the convex core.

A new claim could imply that a proof of one of the most important conjectures in number theory has been solved, which would be an astounding achievement. Mathematician Shinichi Mochizuki of Kyoto University in Japan has released a 500-page proof of the abc conjecture that proposes a relationship between whole numbers (related to the Diophantine equations).

Read more @ SciTechDaily

Century-Old Goldbach Weak Conjecture Closer to Being Solved


The weak Golbach conjecture states that you can break up any odd number into the sum of, at most, three prime numbers. Prime numbers cannot be evenly divided by any other number than themselves or 1.

Read more @ SciTechDaily


Number of posts waiting for me in my Google Reader today.

Hmm. I’ve got a lot of catching up to do in my classes. Things are starting quickly, and I’m already in my books, reading Complex Analysis books, reviewing notes and starting exercises.

I’ve got Number Theory, Algebraic Structures, Complex Analysis and Optimization. I only took the Optimization class because my favorite professor is giving it. It kind of follows what we studied in Numerical Linear Algebra. Thankfully, I’ve seen most of the concepts in these classes. There was one advanced Analysis class that I wanted to take, but it’s not necessary to graduate. I’ll take it as a graduate class in Taiwan. It’s called Measure and Integration, reputedly one of the most difficult undergraduate classes in mathematics. Only 8 people are taking it this year, and it’s given every second year.

I came up and worked on my Unplggd posts for tomorrow. Tomorrow, I don’t have any classes, but I’m giving an English class. Other than that, I’ll hit the books and work on some blog posts and maybe go for a run. It’s getting cold here. It was 12C this morning.

A friend named JP noticed that I had an ecoeurite aigue. In Québecois, this means that I just had enough about how things were going. He’s about to graduate and I hadn’t seen him since my return last week. It’s funny to see how easy it is to read me. I was surprised and flattered that he took the time to enquire. I admitted that I had things on my mind, from my new place, to stuff that I forgot to bring, like some of my pens, and other stuff like catching up on the classes that I missed last week. I felt better after talking with him, because most of the time, I just keep things inside.

Sieve Of Eratosthene

I saw this today while I was taking Wikipedia Offline thanks to Google Gears and I liked it.

In mathematics, the Sieve of Eratosthenes is a simple, ancient algorithm for finding all prime numbers up to a specified integer. It is the predecessor to the modern Sieve of Atkin, which is faster but more complex. It was created by Eratosthenes, an ancient Greek mathematician. Wheel factorization is often applied on the list of integers to be checked for primality, before the Sieve of Eratosthenes is used, to increase the speed.

A prime number (or a prime) is a natural number which has exactly two distinct natural number divisors: 1 and itself. An infinitude of prime numbers exists, as demonstrated by Euclid in about 300 BC. The first thirty prime numbers are:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113

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