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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.   |
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
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 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
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
August 17, 2002
Ivars Peterson |
Testing for Divisibility Few people, including many mathematicians, know all the simple rules by which large numbers can be tested quickly for divisibility by numbers 1 through 12. Nonetheless, they can be handy for solving digital puzzles, reducing fractions, and as targets for algorithm development. |
Science News
May 21, 2005
Ivars Peterson |
Divisibility by Seven Over the years, people have come up with dozens of algorithms for divisibility by 7. Here is the latest entry that is fast and efficient for determining if large numbers are divisible by 7. |
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. |
Chemistry World
May 7, 2014
Emma Stoye |
Bacterium survives unnatural DNA transplant The first organism that can grow and replicate with an unnatural base pair in its DNA -- giving the cell six nucleotides instead of the usual four -- has been created by scientists in the US. |
