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Mathematician proves there are infinitely many pairs of prime numbers less than 70 million units apart(Phys.org) —Mathematician Yitang Zhang of the University of New Hampshire, appears to have taken a major step in solving the twin prime conjecture. He's come up with a mathematical proof that shows that the number of pairs of prime numbers that exist that are less than 70 million units apart is infinite. His proof is currently under review for publication in the journal Annals of Mathematics.
http://phys.org/news287828042.html
Other SciencesWed, 15 May 2013 09:14:19 EDTnews287828042Fermat's Last Theorem, more can be proved more simply: Professor steers field toward a numbers-only proofFermat's Last Theorem—the idea that a certain simple equation had no solutions— went unsolved for nearly 350 years until Oxford mathematician Andrew Wiles created a proof in 1995. Now, Case Western Reserve University's Colin McLarty has shown the theorem can be proved more simply.
http://phys.org/news281614177.html
Other SciencesMon, 04 Mar 2013 10:10:45 EDTnews281614177Mathematician announces that he's proved the ABC conjecture(Phys.org)—In all of history there are very few names that stand out in the field of mathematics, at least among those not in the field: Euclid, Newton, Pythagoras, etc. This is likely due to several reasons, chief among them is that math is so seldom used by most people and the fact that its use in other sciences causes the underlying concepts to become overshadowed. That might change if what Shinichi Mochizuki of Kyoto University is claiming is true; that he has written a proof of the ABC conjecture. To mathematicians it's akin to the Grand Unified Theory of physics, a proof that would tie together most of the fundamental ideas in the field into one neat, fully explainable bundle.
http://phys.org/news266655119.html
Other SciencesWed, 12 Sep 2012 07:52:58 EDTnews266655119A trillion triangles: New computer methods reveal secrets of ancient math problemMathematicians from North America, Europe, Australia, and South America have resolved the first one trillion cases of an ancient mathematics problem. The advance was made possible by a clever technique for multiplying large numbers. The numbers involved are so enormous that if their digits were written out by hand they would stretch to the moon and back. The biggest challenge was that these numbers could not even fit into the main memory of the available computers, so the researchers had to make extensive use of the computers' hard drives.
http://phys.org/news172819291.html
Other SciencesTue, 22 Sep 2009 06:22:23 EDTnews172819291