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21 relations: Aurifeuillean factorization, Brady Haran, Composite number, Conjecture, Covering set, Cullen number, Factorization, Greatest common divisor, Infinity, Integer, John Selfridge, Natural number, Number theory, Power of two, PrimeGrid, Proth number, Riesel number, Set (mathematics), Seventeen or Bust, Springer Science+Business Media, Wacław Sierpiński.
Aurifeuillean factorization
In number theory, an aurifeuillean factorization, or aurifeuillian factorization, named after Léon-François-Antoine Aurifeuille, is a special type of algebraic factorization that comes from non-trivial factorizations of cyclotomic polynomials over the integers.
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Brady Haran
Brady John Haran (born 18 June 1976) is an Australian-born British independent filmmaker and video journalist who is known for his educational videos and documentary films produced for BBC News and his YouTube channels, the most notable being Periodic Videos and Numberphile.
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Composite number
A composite number is a positive integer that can be formed by multiplying together two smaller positive integers.
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Conjecture
In mathematics, a conjecture is a conclusion or proposition based on incomplete information, for which no proof has been found.
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Covering set
In mathematics, a covering set for a sequence of integers refers to a set of prime numbers such that every term in the sequence is divisible by at least one member of the set.
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Cullen number
In mathematics, a Cullen number is a natural number of the form n \cdot 2^n + 1 (written C_n).
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Factorization
In mathematics, factorization (also factorisation in some forms of British English) or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.
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Greatest common divisor
In mathematics, the greatest common divisor (gcd) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.
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Infinity
Infinity (symbol) is a concept describing something without any bound or larger than any natural number.
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Integer
An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").
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John Selfridge
John Lewis Selfridge (February 17, 1927 in Ketchikan, Alaska – October 31, 2010 in DeKalb, Illinois), was an American mathematician who contributed to the fields of analytic number theory, computational number theory, and combinatorics.
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Natural number
In mathematics, the natural numbers are those used for counting (as in "there are six coins on the table") and ordering (as in "this is the third largest city in the country").
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Number theory
Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.
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Power of two
In mathematics, a power of two is a number of the form where is an integer, i.e. the result of exponentiation with number two as the base and integer as the exponent.
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PrimeGrid
PrimeGrid is a volunteer distributed computing project searching for prime numbers of world-record size.
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Proth number
In number theory, a Proth number, named after the mathematician François Proth, is a number of the form where k is an odd positive integer and n is a positive integer such that 2^n > k. Without the latter condition, all odd integers greater than 1 would be Proth numbers.
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Riesel number
In mathematics, a Riesel number is an odd natural number k for which the integers of the form k·2n − 1 are composite for all natural numbers n. In other words, when k is a Riesel number, all members of the following set are composite: In 1956, Hans Riesel showed that there are an infinite number of integers k such that k·2n − 1 is not prime for any integer n.
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Set (mathematics)
In mathematics, a set is a collection of distinct objects, considered as an object in its own right.
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Seventeen or Bust
Seventeen or Bust was a distributed computing project started in March 2002 to solve the last seventeen cases in the Sierpinski problem.
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Springer Science+Business Media
Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.
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Wacław Sierpiński
Wacław Franciszek Sierpiński (14 March 1882 – 21 October 1969) was a Polish mathematician.
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78,557, Selfridge conjecture, Selfridge's conjecture, Sierpinski Problem, Sierpinski numbers, Sierpinski problem, Sierpiński number.
References
[1] https://en.wikipedia.org/wiki/Sierpinski_number
