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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
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
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
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
May 4, 2002
Ivars Peterson |
Prime Spirals There is truly not only mystery but also beauty in the distribution of prime 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
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... |
Science News
August 28, 2004
Ivars Peterson |
More Progressive Primes In July, Markus Frind, Paul Jobling, and Paul Underwood announced that they had discovered the first sequence consisting of 23 prime numbers in arithmetic progression. This surpasses the previous record of 22 primes in arithmetic progression, set in 1993. |
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. |
Linux Journal
January 1, 2003
Lawrence Rosen |
Derivative Works Many users of open-source software are frightened by the term "derivative works". They worry they might accidentally create derivative works and put their own proprietary software under an open-source license. This is a complex topic, but here are definitions to ease people's concerns. |
