relatively prime elements

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• 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

• Prime number theorem — PNT redirects here. For other uses, see PNT (disambiguation). In number theory, the prime number theorem (PNT) describes the asymptotic distribution of the prime numbers. The prime number theorem gives a general description of how the primes are… …   Wikipedia

• prime number theorem — Math. the theorem that the number of prime numbers less than or equal to a given number is approximately equal to the given number divided by its natural logarithm. [1660 70] * * * ▪ mathematics  formula that gives an approximate value for the… …   Universalium

• Splitting of prime ideals in Galois extensions — In mathematics, the interplay between the Galois group G of a Galois extension L of a number field K, and the way the prime ideals P of the ring of integers OK factorise as products of prime ideals of OL, provides one of the richest parts of… …   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

• List of fictional elements, materials, isotopes and atomic particles — This list contains chemical elements, materials, isotopes or (sub)atomic particle that exist primarily in works of fiction (usually fantasy or science fiction). No actual periodic elements end in ite , though many minerals have names with this… …   Wikipedia

• Optimus Prime (other incarnations) — As the Transformers franchise has grown, more continuities separate from the original series and its subsidiaries have come into existence, each featuring Optimus Primes of their own.Transformers: Robots in DisguiseTransformers character name =… …   Wikipedia

• Inversive ring geometry — In mathematics, inversive ring geometry is the extension to the context of associative rings, of the concepts of projective line, homogeneous coordinates, projective transformations, and cross ratio, concepts usually built upon rings that happen… …   Wikipedia

• ANTISEMITISM — ANTISEMITISM, a term coined in 1879, from the Greek ἁντί = anti, and Σημ = Semite by the German agitator wilhelm marr to designate the then current anti Jewish campaigns in Europe. Antisemitism soon came into general use as a term denoting all… …   Encyclopedia of Judaism

• Greek arithmetic, geometry and harmonics: Thales to Plato — Ian Mueller INTRODUCTION: PROCLUS’ HISTORY OF GEOMETRY In a famous passage in Book VII of the Republic starting at Socrates proposes to inquire about the studies (mathēmata) needed to train the young people who will become leaders of the ideal… …   History of philosophy

• Pythagorean triple — A Pythagorean triple consists of three positive integers a , b , and c , such that a 2 + b 2 = c 2. Such a triple is commonly written ( a , b , c ), and a well known example is (3, 4, 5). If ( a , b , c ) is a Pythagorean triple, then so is ( ka …   Wikipedia