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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 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 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 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 June 29, 2002 Ivars Peterson |
Dangerous Problems Some mathematical problems are easy to describe but turn out to be notoriously difficult to solve. Nonetheless, despite repeated warnings from those who have failed in the past, these unsolved problems continue to lure mathematicians into hours, days, and even years of futile labor. |
Science News March 4, 2006 Ivars Peterson |
The Limits of Mathematics No matter what the system of axioms or rules is, there will always be some assertion that can be neither proved nor invalidated within the system. |
Science News October 23, 2004 Ivars Peterson |
Young Gauss Carl Friedrich Gauss, at 10-years old, discovered a simple method for summing an arithmetic sequence (or arithmetic progression)... Puzzle of the Week... |
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 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 November 10, 2007 Julie J. Rehmeyer |
Math Trek: Good Stories, Good Math Preschoolers who can tell good stories develop good mathematical skills by the first grade. |
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 April 6, 2002 Ivars Peterson |
The EKG Sequence Sequences of numbers have long fascinated both amateur and professional mathematicians. Here's a recently discovered example that has prompted some serious mathematical investigation... |