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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 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 June 5, 2004 Ivars Peterson |
Priming Upward The Great Internet Mersenne Prime Search (GIMPS) continues to unearth new Mersenne primes. |
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 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 July 29, 2006 Ivars Peterson |
Names for Numbers Recreational mathematics offers a vast playing field for amateur and professional mathematicians alike. Named numbers, such as Smiths, have all sorts of intriguing properties. |
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 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 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 May 4, 2002 Ivars Peterson |
Prime Spirals There is truly not only mystery but also beauty in the distribution of prime numbers... |
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 April 1, 2006 Ivars Peterson |
Euclid's Fourteenth Book When a famous mathematician has something new to say, the whole world pays attention. |
Science News February 2, 2002 Ivars Peterson |
Euler's Homework Even the best and most prolific of mathematicians have had to do homework assignments. Famed Swiss mathematician Leonhard Euler (1707-1783) was no exception... |
Science News January 31, 2004 Ivars Peterson |
Amicable Pairs, Divisors, and a New Record The Pythagoreans of ancient Greece were fascinated by whole numbers. One particular interest involved what we now call amicable numbers. |
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 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... |