6 posts tagged with Mathematics *and* NumberTheory. (View popular tags)

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Closing in on the twin prime conjecture (Quanta) - "Just months after Zhang announced his result, Maynard has presented an independent proof that pushes the gap down to 600. A new Polymath project is in the planning stages, to try to combine the collaboration's techniques with Maynard's approach to push this bound even lower." [more inside]

posted by kliuless on Dec 1, 2013 - 16 comments

posted by kliuless on Dec 1, 2013 - 16 comments

In August of last year, mathematician Shinichi Mochizuki reported that he had solved one of the great puzzles of number theory: the ABC conjecture (previously on Metafilter). Almost a year later, no one else knows whether he has succeeded. No one can understand his proof.

posted by painquale on May 10, 2013 - 59 comments

posted by painquale on May 10, 2013 - 59 comments

What is the smallest prime? "It seems that the number two should be the obvious answer, and today it is, but it was not always so. There were times when and mathematicians for whom the numbers one and three were acceptable answers. To find the first prime, we must also know what the first positive integer is. Surprisingly, with the definitions used at various times throughout history, one was often not the first positive integer (some started with two, and a few with three). In this article, we survey the history of the primality of one, from the ancient Greeks to modern times. We will discuss some of the reasons definitions changed, and provide several examples. We will also discuss the last significant mathematicians to list the number one as prime."

posted by escabeche on Sep 18, 2012 - 61 comments

posted by escabeche on Sep 18, 2012 - 61 comments

New math theories reveal the nature of numbers [1,2] - "We prove that partition numbers are 'fractal' for every prime. These numbers, in a way we make precise, are self-similar in a shocking way. Our 'zooming' procedure resolves several open conjectures, and it will change how mathematicians study partitions." (/.|via) [more inside]

posted by kliuless on Jan 22, 2011 - 45 comments

posted by kliuless on Jan 22, 2011 - 45 comments

The Zero Saga contains a great deal of information about the concept of zero, and its relation to other numbers and concepts in mathematics. It was linked in Good Math, Bad Math; which contains a variety of other informative articles on the numbers that capture our imaginations. (**Note:** You may want to skip past part 4 of the Zero Saga, as it contains replies to the site, and as such should probably be at the bottom of the page. But, to compensate, the comments on Good Math are better than most blogs I've read.)

posted by Eideteker on Aug 3, 2006 - 11 comments

posted by Eideteker on Aug 3, 2006 - 11 comments

"...the answer to Life, the Universe, and Everything is..." "Yes? Yes!?" "...42."

via Dyson, Montgomery, Princeton, a cup of tea - as presented by Seed Magazine.

posted by loquacious on Mar 28, 2006 - 41 comments

via Dyson, Montgomery, Princeton, a cup of tea - as presented by Seed Magazine.

posted by loquacious on Mar 28, 2006 - 41 comments

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