fundamental theorem of arithmetic

fundamental theorem of arithmetic
Fundamental principle of number theory proved by Carl Friedrich Gauss in 1801.

It states that any integer greater than 1 can be expressed as the product of prime numbers in only one way.

* * *

      Fundamental principle of number theory proved by Carl Friedrich Gauss (Gauss, Carl Friedrich) in 1801. It states that any integer greater than 1 can be expressed as the product of prime number (prime)s in only one way.

* * *


Universalium. 2010.

Игры ⚽ Поможем решить контрольную работу

Look at other dictionaries:

  • Fundamental theorem of arithmetic — In number theory, the fundamental theorem of arithmetic (or unique prime factorization theorem) states that every natural number greater than 1 can be written as a unique product of prime numbers. For instance, : 6936 = 2^3 imes 3 imes 17^2 , ,! …   Wikipedia

  • Fundamental theorem — In mathematics, there are a number of fundamental theorems for different fields. The names are mostly traditional; so that for example the fundamental theorem of arithmetic is basic to what would now be called number theory. Theorems may be… …   Wikipedia

  • Fundamental — may refer to: * Fundamental frequency,a concept in music or phonetics, often referred to as simply a fundamental . * Fundamentalism, the belief in, and usually the strict adherence to, the simplistic or fundamental ideas based on faith of a… …   Wikipedia

  • Arithmetic — tables for children, Lausanne, 1835 Arithmetic or arithmetics (from the Greek word ἀριθμός, arithmos “number”) is the oldest and most elementary branch of mathematics, used b …   Wikipedia

  • arithmetic — arithmetically, adv. n. /euh rith meuh tik/; adj. /ar ith met ik/, n. 1. the method or process of computation with figures: the most elementary branch of mathematics. 2. Also called higher arithmetic, theoretical arithmetic. the theory of… …   Universalium

  • Arithmetic function — In number theory, an arithmetic (or arithmetical) function is a real or complex valued function ƒ(n) defined on the set of natural numbers (i.e. positive integers) that expresses some arithmetical property of n. [1] An example of an arithmetic… …   Wikipedia

  • theorem — theorematic /thee euhr euh mat ik, thear euh /, adj. theorematically, adv. /thee euhr euhm, thear euhm/, n. 1. Math. a theoretical proposition, statement, or formula embodying something to be proved from other propositions or formulas. 2. a rule… …   Universalium

  • fundamental — fundamentality, fundamentalness, n. fundamentally, adv. /fun deuh men tl/, adj. 1. serving as, or being an essential part of, a foundation or basis; basic; underlying: fundamental principles; the fundamental structure. 2. of, pertaining to, or… …   Universalium

  • Euclid's theorem — is a fundamental statement in number theory which asserts that there are infinitely many prime numbers. There are several well known proofs of the theorem.Euclid s proofEuclid offered the following proof published in his work Elements (Book IX,… …   Wikipedia

  • Lasker–Noether theorem — In mathematics, the Lasker–Noether theorem states that every Noetherian ring is a Lasker ring, which means that every ideal can be written as an intersection of finitely many primary ideals (which are related to, but not quite the same as, powers …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”