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Leyland number - Wikipedia
In number theory, a Leyland number is a number of the form $${\displaystyle x^{y}+y^{x}}$$where x and y are integers greater than 1. They are named after the mathematician Paul Leyland. The first few Leyland numbers are 8, 17, 32, 54, 57, 100, 145, 177, 320, 368, 512, 593, 945, 1124 (sequence A076980 … See more
A Leyland number of the second kind is a number of the form
$${\displaystyle x^{y}-y^{x}}$$
where x and y are See moreWikipedia text under CC-BY-SA license Leyland number - Wikiwand
By November 2012, the largest Leyland number that had been proven to be prime was 5122 6753 + 6753 5122 with 25 050 digits. From January 2011 to April 2011, it was the largest prime …
Leyland number - Prime-Wiki - Riesel Prime
A Leyland number is a number that can be expressed in the form [math]\displaystyle{ x^y+y^x }[/math], where x and y are positive integers greater 1 and x ≥ y. These numbers are named after Paul Leyland, who first studied …
Leyland Number - GeeksforGeeks
Jul 17, 2022 · In number theory, a Leyland number is a number of the form x y + y x, where x and y are integers greater than 1 and 1 <y <= x. Given a positive integer N . The task is to print first …
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Leyland Primes - Prime Numbers
A Leyland number is an integer of the form x y + y x with x and y are integers greater than 1. Leyland primes are such numbers which are also primes. First 4: 3 , 17 , 593 , 32993
Leyland numbers - Numbers Aplenty
A number is a Leyland number if it can be written as , with . For example, 368 is a Leyland number because . Leyland numbers have been studied because some of them are pretty large primes, like (30008 digits), or (300337 digits).
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Paul Leyland - Wikipedia
Paul Leyland is a British astronomer and number theorist who has studied integer factorization and primality testing. He has contributed to the factorization of RSA-129 , RSA-140 , and RSA …
Criteria for Leyland Numbers to be Prime
Feb 24, 2019 · What I wanted to do is to find criteria that will indicate whether or not a Leyland number is prime. The first obvious criteria I found is that if $GCD(a,b)=n>1$ , then …
Leyland number - Alchetron, The Free Social Encyclopedia
Dec 4, 2023 · In number theory, a Leyland number is a number of the form. Contents. Leyland primes; Leyland number of the second kind; References; x y + y x. where x and y are integers …
Leyland number - Academic Dictionaries and Encyclopedias
Leyland number. In number theory, a Leyland number is a number of the form "x" "y" + "y" "x", where "x" and "y" are integer s greater than 1. cite |author= Richard Crandall and Carl …
57 (number) - Wikipedia
57 is semiprime [1] a Blum integer, [2] and a Leyland number. [3] ... Although fifty-seven is not prime, it is jokingly known as the Grothendieck prime after a legend according to which the …
Leyland number - Wiktionary, the free dictionary
Leyland number (plural Leyland numbers) A number of the form +, where x and y are integers greater than 1.
Leyland number | Number in Math Wiki | Fandom
A Leyland number is a number of the form \(x^y+y^x\), where x ≥ y > 1. This restriction was placed to make sure only some integers are used.If x or y is equal to 1, every positive integer is a …
About: Leyland number - DBpedia Association
In number theory, a Leyland number is a number of the form where x and y are integers greater than 1. They are named after the mathematician Paul Leyland. The first few Leyland numbers …
Leyland number - Scientific Lib
In number theory, a Leyland number is a number of the form \( x^y + y^x \) where x and y are integers greater than 1. [1] They are named after the mathematician Paul Leyland. The first …
Talk:Leyland number - Wikipedia
Wikipedia already uses the same definition as OEIS and has the same list of Leyland numbers. Perhaps you were looking at the later list of the first prime Leyland numbers. That means …
Leyland number - PlanetMath.org
Feb 9, 2018 · The largest known prime Leyland number 2638 4405 + 4405 2638. Reference R. Crandall, C. Pomerance, Prime Numbers : A Computational Perspective, Springer, 2001
Paul Leyland - Prime-Wiki - Riesel Prime
Paul Leyland is a British number theorist who has studied factorization and primality testing. He has contributed to the factorization of RSA-129, RSA-140 and RSA-155, as well as potential …
Leyland number - atozwiki.com
In number theory a Leyland number is a number of the form x y . Language links are at the top of the page across from the title.
מספר ליילנד – ויקיפדיה
מספר ליילנד (באנגלית: Leyland number) בתורת המספרים הוא מספר מהצורה: + כאשר x ו-y הם שלמים גדולים מ-1 [1]. מספרים אלו קרויים על שמו של המתמטיקאי הבריטי פול ליילנד.
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