infinitude of primes

infinitude of primes
мат.
бесконечное множество простых чисел

English-Russian scientific dictionary. 2008.

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  • Furstenberg's proof of the infinitude of primes — In number theory, Hillel Furstenberg s proof of the infinitude of primes is a celebrated topological proof that the integers contain infinitely many prime numbers. When examined closely, the proof is less a statement about topology than a… …   Wikipedia

  • infinitude — noun An infinite amount. Euclid proves the infinitude of primes …   Wiktionary

  • Prime number — Prime redirects here. For other uses, see Prime (disambiguation). A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is… …   Wikipedia

  • Mersenne prime — Named after Marin Mersenne Publication year 1536[1] Author of publication Regius, H. Number of known terms 47 Conjectured number of terms Infinite …   Wikipedia

  • Primorial prime — In mathematics, primorial primes are prime numbers of the form pn # ± 1, where:: pn # is the primorial of pn .: pn # − 1 is prime for n = 2, 3, 5, 6, 13, 24, ... OEIS|id=A057704: pn # + 1 is prime for n = 1, 2, 3, 4, 5, 11, ...… …   Wikipedia

  • Number theory — A Lehmer sieve an analog computer once used for finding primes and solving simple diophantine equations. Number theory is a branch of pure mathematics devoted primarily to the study of the integers. Number theorists study prime numbers (the… …   Wikipedia

  • Fürstenbergs Beweis der Unendlichkeit der Primzahlen — ist ein 1955 veröffentlichter außergewöhnlicher Beweis der schon von Euklid bewiesenen bekannten Tatsache, dass es unendlich viele Primzahlen gibt. Er wurde von Hillel Fürstenberg entdeckt, als er noch als undergraduate student an der Yeshiva… …   Deutsch Wikipedia

  • Hillel Furstenberg — en 1992. Hillel (Harry) Furstenberg (הלל (הארי) פורסטנברג) est un mathématicien israélien, membre de l Académie israélienne des sciences et lettres et de la National Academy of Sciences américaine. Il a été récompensé par le Prix Wolf en 2007. Il …   Wikipédia en Français

  • Démonstration de Fürstenberg de l'infinité des nombres premiers — En théorie des nombres, la démonstration de Hillel Fürstenberg de l infinité des nombres premiers est une célèbre démonstration topologique selon laquelle les entiers relatifs contiennent une infinité de nombres premiers. Comme la démonstration… …   Wikipédia en Français

  • analysis — /euh nal euh sis/, n., pl. analyses / seez /. 1. the separating of any material or abstract entity into its constituent elements (opposed to synthesis). 2. this process as a method of studying the nature of something or of determining its… …   Universalium

  • Leonhard Euler — Infobox Scientist name = Leonhard Euler|box width = 300px |200px image width = 200px caption = Portrait by Johann Georg Brucker birth date = birth date|df=yes|1707|4|15 birth place = Basel, Switzerland death date = 18 September (O.S 7 September)… …   Wikipedia


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