Mathematicians have taken a step forward in understanding patterns within the primes, numbers divisible only by 1 and themselves. According to the new work, the population of prime numbers contains an infinite collection of arithmetic progressions—number sequences in which each term differs from the preceding one by the same fixed amount.
For example, in the sequence 3, 5, 7, each prime...
Computers at home or in the office often sit idle for minutes, hours, or days at a time. The Internet now allows researchers to take advantage of this enormous reservoir of unused computer power.
More than 1.6 million people have downloaded software to sift through signals collected by the Arecibo radio telescope in Puerto Rico as part of a search for signs of intelligent...
Memorizing the digits of pi–the ratio of a circle's circumference to its diameter–presents a hefty challenge to anyone undertaking that quixotic exercise. Starting with 3.14159265, the decimal digits of pi run on forever, and there is no discernible pattern to ease the task.
The apparent randomness of pi's digits has long intrigued mathematician David H. Bailey of the...