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Read e-book online Archimedes' Revenge: The Joys and Perils of Mathematics PDF

By Paul Hoffman

An creation to the delights and demanding situations of recent arithmetic.

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Extra info for Archimedes' Revenge: The Joys and Perils of Mathematics

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Iln I i WI a. Lhvr ais ofWsigon l n 91a 14 t11111$1 Inn n 10 M4610 1928 a? 111 16S, 1, 73 Wa1 37shing-7217 2,50 IH PRIMES' . p a. I214141 165,InW11atshing-l ol111 11 a 92 14 2 ARCHIMEDES' REVENGE 36 The record-setting prime that Chevron's computer hit upon weighs in at 65,050 digits. This 65,050-digit whopper is a Mersenne number; it is equal to the number 2 raised to the 216,091st power minus 1. To list all the digits would require 30 pages of this book. 'We just happened to crunch enough numbers to come up with a new prime," a Chevron vice-president told the press.

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And since the Navahos numbered more than 50,000, there were surely many able-bodied men who could be conscripted. By the end of the war, 420 Navahos had helped the Marines advance from the Solomon Islands to Okinawa, where they were particularly helpful, barking orders in a peculiar language that left the Japanese high command totally baffled but made for swiftly executed maneuvers. Despite the increasing number of mathematicians drawn to cryptography, and the increasing supercomputer resources harnessed for code making and breaking.

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