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Science News
December 2, 2000
Ivars Peterson |
Zeroing In on Catalan's Conjecture Preda Mihailescu of the Swiss Federal Institute of Technology in Zurich has proved a theorem that is likely to lead to a solution of Catalan's conjecture, a venerable problem involving relationships among whole numbers...   |
Science News
July 16, 2005
Ivars Peterson |
Closing the Gap on Twin Primes Euclid proved that the set of primes is infinite in size more than 2000 years ago, but no one has yet proved whether there is an infinite number of twin primes, or pairs of primes that have a difference of two. There's now hope that that matter will finally be resolved. |
Science News
August 19, 2000
Ivars Peterson |
Goldbach's Prime Pairs Evenly divisible only by themselves and one, primes are a rich source of speculative ideas that mathematicians often find simple to state but difficult to prove. The Goldbach conjecture is a prime example of such a conundrum. |
Science News
July 17, 2004
Ivars Peterson |
Waring Experiments The different ways of expressing whole numbers as sums of parts has long fascinated both professional and amateur mathematicians. |
Science News
October 11, 2003
Ivars Peterson |
Goldbach Computations Goldbach's conjecture that every even number larger than 2 is the sum of two prime numbers remains unproven, but recent research may provide some insight. |
Science News
September 25, 2004
Ivars Peterson |
Euler's Sums of Powers For anyone fascinated by powers and integers, there's no shortage of problems to tackle, whether by ingenious logic or massive computer search... PUzzle of the Week... |
Science News
May 11, 2002
Ivars Peterson |
Song-and-Dance Fermat Fermat's Last Tango, a musical based on the story of Fermat's last theorem and the quest to prove it, is cheerful, clever, and entertaining. Its varied music is engaging. It puts mathematics on display as an intensely human endeavor... |
Science News
June 2, 2001
Ivars Peterson |
Prime Twins Although most mathematicians believe that there are infinitely many twin primes, no one has yet proved this conjecture to be true. Indeed, the twin prime conjecture is considered one of the major unsolved problems in number theory... |
Salon.com
September 5, 2002
David Appell |
Math = beauty + truth / (really hard) Explaining what the winners of the world's top awards in mathematics actually do isn't as easy as adding 2+2. But we'll give it a try. |
Science News
May 4, 2002
Ivars Peterson |
Prime Spirals There is truly not only mystery but also beauty in the distribution of prime numbers... |
Science News
March 30, 2002
Ivars Peterson |
Rainbow Randomness The branch of pure mathematics known as Ramsey theory concerns the existence of highly regular patterns in sufficiently large sets of randomly selected objects. Patterns can arise out of randomness in a variety of ways... |
