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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
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... |
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 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 27, 2005
Ivars Peterson |
Primes, Palindromes, and Pyramids Many questions about palidromic prime pyramids remain open. Is there a better way than exhaustive search for finding the tallest pyramids with fixed step sizes? Can you prove that fixed step size pyramids are finite? |
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 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
May 4, 2002
Ivars Peterson |
Prime Spirals There is truly not only mystery but also beauty in the distribution of prime numbers... |
Science News
May 17, 2003
Ivars Peterson |
Sequence Puzzles Neil A.J. Sloane of AT&T Shannon Labs in Florham Park, N.J., has been collecting number sequences ever since he was a graduate student at Cornell University in the 1960s. |
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
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
May 28, 2005
Ivars Peterson |
Mean Median Surprise Mathematicians found, using three numbers, each M&m (mean and median) sequence they found would stabilize, eventually reaching a constant value. |
Science News
December 6, 2003
Ivars Peterson |
Megaprime Champion The catalog of humongous prime numbers has a new entry -- the champion prime (2^20996011 - 1), which has 6,320,430 decimal digits. It's the largest known prime number and the 40th Mersenne prime ever found. |
Science News
January 14, 2006
Ivars Peterson |
Team Mersenne A Central Missouri State University computer identified the 43rd Mersenne prime, setting the record for the largest known prime number. This behemoth, 2 30402457 - 1, runs to a whopping 9,152,052 decimal digits. |
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
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. |
Financial Planning
August 1, 2013
Craig L. Israelsen |
Does the Sequence of Market Returns Matter? The markets have good years and bad years, but the impact on a client s investments depends on the timing. |
Financial Planning
November 1, 2005
Craig L. Israelsen |
Ways of Means Committee There's a critical difference between arithmetic and geometric means when calculating average annualized return. As the standard deviation (or volatility) of annual returns increases, the arithmetic mean grows larger than (and therefore, further away from) the correct geometric mean. |
Chemistry World
July 13, 2011
Hayley Birch |
Naked mole-rat genome holds clue to beating cancer The recently published draft sequence of the naked mole-rat genome promises to reveal the secrets of its long and remarkably cancer-free existence, potentially providing new targets for anti-cancer drugs. |
Wall Street & Technology
February 14, 2006
Paul Allen |
Prime Time for Primes Once an esoteric business controlled by three players, the prime brokerage business has become a hotbed of competition as rival banks and brokers have sought to profit from the hedge fund explosion. |
