
From the original hard cover edition:In the modern age of almost universal computer usage, practically every individual in a technologically developed society has routine access to the most uptodate cryptographic technology that exists, the socalled RSA publickey cryptosystem. A major component of this system is the factorization of large numbers into their primes. Thus an ancient numbertheory concept now plays a crucial role in communication among millions of people who may have little or no knowledge of even elementary mathematics. Hans Riesel's highly successful first edition of this book has now been enlarged and updated with the goal of satisfying the needs of researchers, students, practitioners of cryptography, and nonscientific readers with a mathematical inclination. It includes important advances in computational prime number theory and in factorization as well as recomputed and enlarged tables, accompanied by new tables reflecting current research by both the author and his coworkers and by independent researchers. The book treats four fundamental problems: the number of primes below a given limit, the approximate number of primes, the recognition of primes and the factorization of large numbers. The author provides explicit algorithms and computer programs, and has attempted to discuss as many of the classically important results as possible, as well as the most recent discoveries. The programs include are written in PASCAL to allow readers to translate the programs into the language of their own computers. The independent structure of each chapter of the book makes it highly readable for a wide variety of mathematicians, students of applied number theory, and others interested in both study and research in number theory and cryptography. 


For Men Of UnderstandingIt is stated as follows in the 164th verse of Surah alBaqarah that one of the purposes of the Qur’an’s revelation is to think, "In the creation of the heavens and earth, and the alternation of the night and day, and the ships which sail the seas to people’s benefit, and the water which Allah sends down from the sky –...   Evolved Packet System (EPS): The LTE and SAE Evolution of 3G UMTS2G/GSM and 3G/UMTS are key mobile communication technologies, chosen by more than 2 billion people around the world. In order to adapt to new services, increasing demand for user bandwidth, quality of service and requirements for network convergence, major evolutions are introduced in 3G network standard.
Evolved...   Micronutrients and HIV Infection (Modern Nutrition)
Analogous to other infections, evidence suggests that improved micronutrient intake may reduce HIV transmission and progression, as well as morbidity from common and opportunistic infections. This is important information, considering many in the world's HIVinfected population do not yet have access to antiretroviral drugs.... 
