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Cullen number, the Glossary

Index Cullen number

In mathematics, a Cullen number is a member of the integer sequence C_n.[1]

Table of Contents

  1. 26 relations: Almost all, American Mathematical Society, Cambridge University Press, Christopher Hooley, Composite number, Conjecture, Divisor, Fermat's little theorem, Integer, Integer sequence, Jacobi symbol, James Cullen (mathematician), Mathematics, Mathematics of Computation, Modular arithmetic, Natural density, Natural number, On-Line Encyclopedia of Integer Sequences, Parity (mathematics), Prime number, PrimeGrid, PrimePages, Providence, Rhode Island, Recurrence relation, Springer Science+Business Media, Woodall number.

Almost all

In mathematics, the term "almost all" means "all but a negligible quantity".

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American Mathematical Society

The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs.

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Cambridge University Press

Cambridge University Press is the university press of the University of Cambridge.

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Christopher Hooley

Christopher Hooley (7 August 1928 – 13 December 2018) was a British mathematician, professor of mathematics at Cardiff University.

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Composite number

A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Cullen number and composite number are integer sequences.

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Conjecture

In mathematics, a conjecture is a conclusion or a proposition that is proffered on a tentative basis without proof.

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Divisor

In mathematics, a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n. In this case, one also says that n is a multiple of m. An integer n is divisible or evenly divisible by another integer m if m is a divisor of n; this implies dividing n by m leaves no remainder.

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Fermat's little theorem

In number theory, Fermat's little theorem states that if is a prime number, then for any integer, the number is an integer multiple of.

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Integer

An integer is the number zero (0), a positive natural number (1, 2, 3,...), or the negation of a positive natural number (−1, −2, −3,...). The negations or additive inverses of the positive natural numbers are referred to as negative integers.

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Integer sequence

In mathematics, an integer sequence is a sequence (i.e., an ordered list) of integers. Cullen number and integer sequence are integer sequences.

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Jacobi symbol

Jacobi symbol for various k (along top) and n (along left side).

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James Cullen (mathematician)

Father James Cullen, S.J. (19 April 1867 – 7 December 1933) was an Irish mathematician.

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Mathematics

Mathematics is a field of study that discovers and organizes abstract objects, methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself.

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Mathematics of Computation

Mathematics of Computation is a bimonthly mathematics journal focused on computational mathematics.

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Modular arithmetic

In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value, called the modulus.

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Natural density

In number theory, natural density, also referred to as asymptotic density or arithmetic density, is one method to measure how "large" a subset of the set of natural numbers is.

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Natural number

In mathematics, the natural numbers are the numbers 0, 1, 2, 3, etc., possibly excluding 0.

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On-Line Encyclopedia of Integer Sequences

The On-Line Encyclopedia of Integer Sequences (OEIS) is an online database of integer sequences. Cullen number and on-Line Encyclopedia of Integer Sequences are integer sequences.

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Parity (mathematics)

In mathematics, parity is the property of an integer of whether it is even or odd.

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Prime number

A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. Cullen number and prime number are integer sequences.

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PrimeGrid

PrimeGrid is a volunteer computing project that searches for very large (up to world-record size) prime numbers whilst also aiming to solve long-standing mathematical conjectures.

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PrimePages

The PrimePages is a website about prime numbers originally created by Chris Caldwell at the University of Tennessee at Martin who maintained it from 1994 to 2023.

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Providence, Rhode Island

Providence is the capital and most populous city of the U.S. state of Rhode Island.

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Recurrence relation

In mathematics, a recurrence relation is an equation according to which the nth term of a sequence of numbers is equal to some combination of the previous terms.

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Springer Science+Business Media, commonly known as Springer, is a German multinational publishing company of books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.

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Woodall number

In number theory, a Woodall number (Wn) is any natural number of the form for some natural number n. The first few Woodall numbers are. Cullen number and Woodall number are Classes of prime numbers, integer sequences and Unsolved problems in number theory.

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References

[1] https://en.wikipedia.org/wiki/Cullen_number

Also known as Cullen prime, Generalized Cullen number, Generalized Cullen prime.