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Recommended School Credit: One full year of high school credit or one semester of college credit equal to or greater than an AP class.

Factorization and Primality Testing by David M. Bressoud

Elementary Number Theory gives advanced students an introduction to the deep theory of the integers, with focus on the properties of prime numbers, and integer or rational solutions to equations. This course focuses on detailed exploration of topics as well as proof techniques.

  1. Factorization and Primality Testing | DAVID BRESSOUD | Springer.
  2. Experimental Mathematics?
  3. Boender , te Riele : Factoring integers with large-prime variations of the quadratic sieve.
  4. GRE Prime Factorization and Divisibility Problems?

Historical background for various problems will be provided throughout the course. Prime numbers and elliptic curves are studied with applications to cryptography. Each student is assigned to a CTY instructor to help them during their course.

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  • Students can contact their instructor via email with any questions or concerns at any time. Live one-on-one online review sessions can be scheduled as well to prepare for the graded assessments, which include homework, chapter exams, and a cumulative midterm and final.


    Instructors use virtual classroom software allowing video, voice, text, screen sharing and whiteboard interaction. This course requires a properly maintained computer with high-speed internet access and an up-to-date web browser such as Chrome or Firefox.

    Primality (1 of 2: Fermat's Test)

    The student must be able to communicate with the instructor via email. Visit the Technical Requirements and Support page for more details.

    Factorization and Primality Testing

    Many sections have been rewritten or expanded for clarity, especially in the chapters on information theory, elliptic curves, and lattices, and the chapter of additional topics has been expanded to include sections on digital cash and homomorphic encryption. Numerous new exercises have been included.

    Bibliographic Information

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    Factorization and Primality Testing (Undergraduate Texts in Mathematics)

    Wordery offers Free Delivery on all UK orders, and competitively priced international delivery. Publication date: Pages: Product dimensions: mm w x mm h x 35mm d Overview This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes.

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