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Hace 5 días · Number theory (or arithmetic or higher arithmetic in older usage) 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." [1]
Hace 3 días · Number Theory | Brilliant Math & Science Wiki. Patrick Corn and Jimin Khim contributed. Number theory is the study of properties of the integers. Because of the fundamental nature of the integers in mathematics, and the fundamental nature of mathematics in science, the famous mathematician and physicist Gauss wrote:
Hace 2 días · In mathematics, the prime number theorem ( PNT) describes the asymptotic distribution of the prime numbers among the positive integers. It formalizes the intuitive idea that primes become less common as they become larger by precisely quantifying the rate at which this occurs.
Hace 4 días · Weinberger (1973) showed that the generalized Riemann hypothesis for the zeta functions of all algebraic number fields implies that any number field with class number 1 is either Euclidean or an imaginary quadratic number field of discriminant −19, −43, −67, or −163.
11 de mar. de 2024 · Number theory is a branch of mathematics that deals with the properties and relationships of numbers, particularly integers. It explores patterns, structures, and properties of numbers and seeks to understand their fundamental properties and behaviors.
1 de mar. de 2024 · Pierre de Fermat (born August 17, 1601, Beaumont-de-Lomagne, France—died January 12, 1665, Castres) was a French mathematician who is often called the founder of the modern theory of numbers. Together with René Descartes , Fermat was one of the two leading mathematicians of the first half of the 17th century.
12 de mar. de 2024 · Fermat’s theorem, in number theory, the statement, first given in 1640 by French mathematician Pierre de Fermat, that for any prime number p and any integer a such that p does not divide a (the pair are relatively prime), p divides exactly into ap − a.