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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
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 1, 2003
Ivars Peterson |
Cracking Fermat Numbers Fermat numbers have what mathematicians sometimes describe as a "beautiful mathematical form," involving powers of 2. They were of interest 400 years ago and are now the subject of a wide-ranging worldwide computer search. |
Science News
February 24, 2001
Ivars Peterson |
Appealing Numbers It's amazing how much effort has gone into tracking down amicable numbers, which have practically no application in mathematics. They have a curious appeal that has endured for millennia... |
Science News
January 18, 2003
Ivars Peterson |
A Perfect Collaboration Together, Euclid of Alexandria (c325-c265 BC) and Leonard Euler (1707-1783), born in Switzerland and at various times resident in St. Petersburg and Berlin, collaborated on proving an interesting result in number theory -- without the benefit of e-mail or time travel. |
Science News
June 5, 2004
Ivars Peterson |
Priming Upward The Great Internet Mersenne Prime Search (GIMPS) continues to unearth new Mersenne primes. |
Science News
November 15, 2003
Ivars Peterson |
Cool Rationals One of my more distinct recollections of math class involves the decimal representation of rational numbers and the discovery of wonderful patterns among those digits. A new paper finds fascinating new patterns and provides some numerological explanations. |
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
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
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
May 4, 2002
Ivars Peterson |
Prime Spirals There is truly not only mystery but also beauty in the distribution of prime numbers... |
Science News
April 14, 2007
Julie J. Rehmeyer |
Euler's Beautiful Equation Leonhard Euler, one of the greatest mathematicians of all time, was born 300 years ago on April 15, 1707. He discovered the equation e ip = -1. |
Science News
February 14, 2004
Ivars Peterson |
Hunting e E has been called the logarithmic constant, Napier's number, Euler's constant, and the natural logarithmic base. This article describes how it can be calculated. |
Science News
November 4, 2006
Ivars Peterson |
Designer Decimals Fractions can yield amazingly familiar decimal expansions. |
Science News
March 5, 2005
Ivars Peterson |
Primal Surge Last month saw the discovery of the 42nd known Mersenne prime, the largest prime yet identified... Puzzle of the Week... |
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. |
InternetNews
December 28, 2005
Sharon Gaudin |
Grid Discovers Largest Known Prime Number Using an international grid of about 70,000 computers, researchers this month discovered the largest known prime number. |
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
December 14, 2002
Ivars Peterson |
A Trillion Pieces of Pi Computer scientist Yasumasa Kanada and his coworkers at the University of Tokyo Information Technology Center have now succeeded in computing 1,241,100,000,000 decimal digits of pi, smashing their own previous world record of 206,158,430,000 digits, set in 1999. |
Science News
November 3, 2001
Ivars Peterson |
Absolutely Abnormal Identifying the normal (or even the abnormal) in mathematics can pose serious difficulties... |
Science News
January 4, 2003
Ivars Peterson |
Sound-Byte Math Music Swedish composer Daniel Cummerow has created mathematical sound bytes belonging to a category known as algorithmic music. Each musical fragment is determined by a mathematical recipe -- a formula that links digits with musical notes and their duration... |
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
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. |
