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Prime Pages
The PrimePages is a website about prime numbers maintained by Chris Caldwell at the University of Tennessee at Martin. The site maintains the list of the "5,000 largest known primes", selected smaller primes of special forms, and many "top twenty" lists for primes of various forms. , the 5,000th prime has around 412,000 digits.. Retrieved on 2018-02-12. The PrimePages has articles on primes and primality testing. It includes "The Prime Glossary" with articles on hundreds of glosses related to primes, and "Prime Curios!" with thousands of curios about specific numbers. The database started as a list of titanic primes (primes with at least 1000 decimal digits) by Samuel Yates. In subsequent years, the whole top-5,000 has consisted of gigantic primes (primes with at least 10,000 decimal digits). Primes of special forms are kept on the current lists if they are titanic and in the top-20 or top-5 for their form. See also *List of prime numbers This is a list of articles about pri ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, or , involve 5 itself. However, 4 is composite because it is a product (2 × 2) in which both numbers are smaller than 4. Primes are central in number theory because of the fundamental theorem of arithmetic: every natural number greater than 1 is either a prime itself or can be factorized as a product of primes that is unique up to their order. The property of being prime is called primality. A simple but slow method of checking the primality of a given number n, called trial division, tests whether n is a multiple of any integer between 2 and \sqrt. Faster algorithms include the Miller–Rabin primality test, which is fast but has a small chance of error, and the AKS primality test, which always pr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Tennessee At Martin
The University of Tennessee at Martin (UT Martin or UTM) is a public university in Martin, Tennessee. It is one of the five campuses of the University of Tennessee system. UTM is the only public university in West Tennessee outside of Memphis. UTM operates a large experimental farm and several satellite centers in West Tennessee. History Although UT Martin dates from 1927, it is not the first educational institution to use the current site. In 1900, Ada Gardner Brooks donated a site on what was then the outskirts of Martin to the Tennessee Baptist Convention for the purposes of opening a school. The school opened as the Hall-Moody Institute, named for two locally prominent Baptist ministers - John Newton Hall and Joseph Burnley Moody. It originally offered 13 years of study, from elementary grades to the equivalent of the first years of collegiate work. The institute changed its name to Hall-Moody Normal School in 1917, as teacher training became its primary focus. Five ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Primality Test
A primality test is an algorithm for determining whether an input number is prime. Among other fields of mathematics, it is used for cryptography. Unlike integer factorization, primality tests do not generally give prime factors, only stating whether the input number is prime or not. Factorization is thought to be a computationally difficult problem, whereas primality testing is comparatively easy (its running time is polynomial in the size of the input). Some primality tests prove that a number is prime, while others like Miller–Rabin prove that a number is composite. Therefore, the latter might more accurately be called ''compositeness tests'' instead of primality tests. Simple methods The simplest primality test is ''trial division'': given an input number, ''n'', check whether it is evenly divisible by any prime number between 2 and (i.e. that the division leaves no remainder). If so, then ''n'' is composite. Otherwise, it is prime.Riesel (1994) pp.2-3 For example, c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Titanic Prime
A megaprime is a prime number with at least one million decimal digits. Other terms for large primes include titanic prime, coined by Samuel Yates in the 1980s for a prime with at least 1000 digits, and gigantic prime for a prime with at least 10,000 digits. Bevaprime has been proposed for a prime with at least 1,000,000,000 digits. , there are more than 1500 known megaprimesChris CaldwellThe Largest Known Primesat The PrimePages. and 85 further probable primes (PRPs) which have more than 1,000,000 digits.Henri Lifchitz & Renaud Lifchitz, Probable Primes Top 10000 primenumbers.net The first to be found was the 26972593−1 with 2,098,960 d ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Samuel Yates
Samuel Yates (May 10, 1919 in Savannah, Georgia – April 22, 1991 in New Brunswick, New Jersey) was a computer engineer and mathematician who first described unique primes in the 1980s. In 1984 he began the list of "Largest Known Primes" (today The Prime Pages) and coined the name titanic prime for any prime with 1,000 or more decimal digits. He also called those who proved their primality A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways ... "titans". He is the author of ''Repunits and Repetends''. Samuel Yatrofsky married May Berkowitz on April 5, 1941, in Brooklyn, NY, and along with his wife, brother and brother's wife, changed their surname from Yatrofsky to Yates on June 25, 1943, in Burlington County, New Jersey, due to anti-Semitism. He is buried in Beth Israel Jewish Cemetery ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gigantic Prime
A megaprime is a prime number with at least one million decimal digits. Other terms for large primes include titanic prime, coined by Samuel Yates in the 1980s for a prime with at least 1000 digits, and gigantic prime for a prime with at least 10,000 digits. Bevaprime has been proposed for a prime with at least 1,000,000,000 digits. , there are more than 1500 known megaprimesChris CaldwellThe Largest Known Primesat The PrimePages. and 85 further probable primes (PRPs) which have more than 1,000,000 digits.Henri Lifchitz & Renaud Lifchitz, Probable Primes Top 10000 primenumbers.net The first to be found was the 26972593−1 with 2,098,960 d ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
List Of Prime Numbers
This is a list of articles about prime numbers. A prime number (or ''prime'') is a natural number greater than 1 that has no positive divisors other than 1 and itself. By Euclid's theorem, there are an infinite number of prime numbers. Subsets of the prime numbers may be generated with various formulas for primes. The first 1000 primes are listed below, followed by lists of notable types of prime numbers in alphabetical order, giving their respective first terms. 1 is neither prime nor composite. The first 1000 prime numbers The following table lists the first 1000 primes, with 20 columns of consecutive primes in each of the 50 rows. . The Goldbach conjecture verification project reports that it has computed all primes below 4×10. That means 95,676,260,903,887,607 primes (nearly 10), but they were not stored. There are known formulae to evaluate the prime-counting function (the number of primes below a given value) faster than computing the primes. This has been used to c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Prime Numbers
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, or , involve 5 itself. However, 4 is composite because it is a product (2 × 2) in which both numbers are smaller than 4. Primes are central in number theory because of the fundamental theorem of arithmetic: every natural number greater than 1 is either a prime itself or can be factorized as a product of primes that is unique up to their order. The property of being prime is called primality. A simple but slow method of checking the primality of a given number n, called trial division, tests whether n is a multiple of any integer between 2 and \sqrt. Faster algorithms include the Miller–Rabin primality test, which is fast but has a small chance of error, and the AKS primality test, which always pr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics Websites
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
