Titlebook: Number Theory with Computations; Peter Shiu Textbook 2024 The Editor(s) (if applicable) and The Author(s), under exclusive license to Spri

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1615-2085 basic calculus for the first part of the book, the second part assumes some knowledge of complex analysis. Familiarity with basic coding syntax will be helpful for the computational exercises..978-3-031-63813-8978-3-031-63814-5Series ISSN 1615-2085 Series E-ISSN 2197-4144

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Prime Numbers: Euclid and Eratosthenes There is also a detailed description of the Meissel–Lehmer partial sieving method for the counting of primes, and the factorisation methods of Fermat and Pollard. Probabilistic primality tests, including the AKS test, one-way function and RSA public-key encryption are also covered.

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Sums of Squaresdre theorem on sums of three squares based on the use of Minkowski’s theorem on the existence of lattice points in a convex body. The tricky problems of finding representations of numbers as sums of squares, including Brillhart’s algorithm, are considered.

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Springer Undergraduate Mathematics Serieshttp://image.papertrans.cn/n/image/668889.jpg

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