![]() ![]() The number known as a Mersenne prime, is the 45th known Mersenne prime, written shorthand as 2 to the power of 43,112,609, minus 1. Then on October, a 12 million digit prime number, the largest such number ever discovered, landed a voluntary math research group a $100,000 prize from the Electronic Frontier Foundation (EFF). The calculation found 3,148,379,694 of these more mysterious congruent numbers up to a trillion, the researchers said in a statement. , are more mysterious and each number has to be checked individually. But other similar looking sequences, like 3, 11, 19, 27, 35. For example, every number in the sequence 5, 13, 21, 29, 37. Many congruent numbers were known prior to the new research. In case you were wondering, the first few congruent numbers are 5, 6, 7, 13, 14, 15, 20, and 21. Apparently no one had taken them beyond a billion for some reason. In September a group of such researchers said they, through a technique for multiplying large numbers, figured out congruent numbers up to a trillion. Bad cooling results in a hardware failure.ĭiscovering new, large numbers has been a hot button recently. ![]() A single bit error during the computation gives a bad result. The whole computation is an extensive test for a computer including its CPU, RAM, disk storage and cooling system.The same ideas can be applied to other fields such as video streaming or data base access. Specific methods were developed to ensure high reliability and high disk I/O bandwidth. The reliable managing of a very large amount of disk storage, at least for a single computer.This transform is widely used in many algorithms and most modern electronic appliances (such as digital televisions, cell phones and music players) include at least one instance of it. "Arbitrary-precision arithmetic with huge numbers has little practical use, but some of the involved algorithms are interesting to do other things." In particular: He says optimizing these algorithms to get good performance is a difficult programming challenge. If you want the real techie details, have a gander here.īellard goes on to say he is not especially interested in the digits of Pi, "but in the various algorithms involved to do arbitrary-precision arithmetic." The most important part is an arbitrary-precision arithmetic library able to manipulate huge numbers stored on hard disks, he stated. 2699999990000 decimal digits ( base 10)īellard states that all the software used in the computation was written by him.The new number is some 123 billion more than the previous record held by Daisuke Taka-hashi at the University of Japan who emplyed a T2K Open Supercomputer.Īccording to Bellard's Web site, the following number of digits was computed: Pi you may or may not recall is the ratio of a circle's circumference to its diameter and is approximately equal to 3.14159 and well beyond. The new pi number calculated by software engineer Fabric Ballard would take up more than a terabyte of hard disk space - enough to hold 1,000 copies of the Encyclopedia Britannica and reciting one number per second would take more than 85,000 years, according to this site. A French scientist says he has calculated pi out to an unreal 2.7 trillion digits - a feat that took his Linux-based PC 131 days to calculate. ![]()
0 Comments
Leave a Reply. |