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  2. Primality Testing for Beginners - Wikipedia

    en.wikipedia.org/.../Primality_Testing_for_Beginners

    [1] [5] Chapter 1 includes basic material on number theory, including the fundamental theorem of arithmetic on unique factorization into primes, the binomial theorem, the Euclidean algorithm for greatest common divisors, and the sieve of Eratosthenes for generating the sequence of prime numbers.

  3. Number theory - Wikipedia

    en.wikipedia.org/wiki/Number_theory

    Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions.German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."

  4. List of number theory topics - Wikipedia

    en.wikipedia.org/wiki/List_of_number_theory_topics

    5 Analytic number theory: additive problems. 6 Algebraic number theory. 7 Quadratic forms. ... Download as PDF; Printable version; In other projects Wikidata item ...

  5. Glossary of number theory - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_number_theory

    The class field theory concerns abelian extensions of number fields. class number 1. The class number of a number field is the cardinality of the ideal class group of the field. 2. In group theory, the class number is the number of conjugacy classes of a group. 3.

  6. Category:Theorems in number theory - Wikipedia

    en.wikipedia.org/wiki/Category:Theorems_in...

    Download as PDF; Printable version; In other projects Wikidata item; ... Pages in category "Theorems in number theory" The following 106 pages are in this category ...

  7. Basic Number Theory - Wikipedia

    en.wikipedia.org/wiki/Basic_Number_Theory

    Basic Number Theory is an influential book [1] by André Weil, an exposition of algebraic number theory and class field theory with particular emphasis on valuation-theoretic methods. Based in part on a course taught at Princeton University in 1961–62, it appeared as Volume 144 in Springer's Grundlehren der mathematischen Wissenschaften ...