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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 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
March 20, 2004
Ivars Peterson |
Deriving the Structure of Numbers The study of prime numbers has long been a central part of number theory, a field traditionally pursued for its own sake and for the mathematical beauty of its results. |
Science News
August 6, 2005
Ivars Peterson |
Playing with Ruth-Aaron Pairs Mathematicians have taken the home run records of Hank Aaron and Babe Ruth and made the fascinating discovery that the numbers have more in common than just baseball. |
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
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... |
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
April 24, 2004
Ivars Peterson |
Progressive Primes In one step toward elucidating certain primal mysteries, two mathematicians have now apparently proved that the population of primes contains an infinite collection of arithmetic progressions. |
Science News
January 11, 2003
Ivars Peterson |
A Remarkable Dearth of Primes The pursuit of prime numbers -- integers evenly divisible only by themselves and 1 -- can lead to all sorts of curious results and unexpected patterns. In some instances, you may even encounter a mysterious absence of primes. |
Science News
June 22, 2002
Ivars Peterson |
Conquering Catalan's Conjecture Preda Mihailescu of the University of Paderborn in Germany finally may have the key to a venerable problem known as Catalan's conjecture, which concerns the powers of whole numbers. |
Science News
May 4, 2002
Ivars Peterson |
Prime Spirals There is truly not only mystery but also beauty in the distribution of prime numbers... |
AskMen.com
Terry Baldwin |
Top 10: Views Our top finishers include a well-rounded bunch of timeless sites and some lesser-known spots -- all worth a look. |
National Defense
August 2007
Grace Jean |
Overlooked Business Model Could Benefit Small Firms Suppose a small business has produced a technology that will help troops fighting in Iraq, contract lawyers say it's better to sell off the business unit that developed the product. |
