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Leyland number

Index Leyland number

In number theory, a Leyland number is a number of the form where x and y are integers greater than 1. [1]

24 relations: Carl Pomerance, Commutative property, Composite number, Cyclotomic field, Elliptic curve primality, Integer, Integer factorization, Number theory, Paul Leyland, Probable prime, Richard Crandall, 100 (number), 1000 (number), 145 (number), 17 (number), 177 (number), 300 (number), 32 (number), 512 (number), 54 (number), 57 (number), 593 (number), 8, 900 (number).

Carl Pomerance

Carl Bernard Pomerance (born 1944 in Joplin, Missouri) is an American number theorist.

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Commutative property

In mathematics, a binary operation is commutative if changing the order of the operands does not change the result.

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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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Cyclotomic field

In number theory, a cyclotomic field is a number field obtained by adjoining a complex primitive root of unity to, the field of rational numbers.

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Elliptic curve primality

In mathematics elliptic curve primality testing techniques are among the quickest and most widely used methods in primality proving.

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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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Integer factorization

In number theory, integer factorization is the decomposition of a composite number into a product of smaller integers.

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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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Paul Leyland

Paul Leyland is a British number theorist who has studied integer factorization and primality testing.

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Probable prime

In number theory, a probable prime (PRP) is an integer that satisfies a specific condition that is satisfied by all prime numbers, but which is not satisfied by most composite numbers.

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Richard Crandall

Richard E. Crandall (December 29, 1947 – December 20, 2012) was an American physicist and computer scientist who made contributions to computational number theory.

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100 (number)

100 or one hundred (Roman numeral: Ⅽ) is the natural number following 99 and preceding 101.

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1000 (number)

1000 or one thousand is the natural number following 999 and preceding 1001.

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145 (number)

145 (one hundred forty-five) is the natural number following 144 and preceding 146.

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17 (number)

17 (seventeen) is the natural number following 16 and preceding 18.

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177 (number)

177 (one hundred seventy-seven) is the natural number following 176 and preceding 178.

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300 (number)

300 (three hundred) is the natural number following 299 and preceding 301.

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32 (number)

32 (thirty-two) is the natural number following 31 and preceding 33.

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512 (number)

512 (five hundred twelve) is the natural number following 511 and preceding 513.

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54 (number)

54 (fifty-four) is the natural number following 53 and preceding 55.

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57 (number)

57 (fifty-seven) is the natural number following 56 and preceding 58.

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593 (number)

593 (five hundred ninety-three) is the natural number following 592 and preceding 594.

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8

8 (eight) is the natural number following 7 and preceding 9.

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900 (number)

900 (nine hundred) is the natural number following 899 and preceding 901.

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References

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

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