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- A '''Mersenne number''' is a number of the form <math>2^n{-}1</math> where <math>n</math> is a non-negative [[i ...[prime]], it is called a [[Mersenne prime]], otherwise it is a [[composite number]].2 KB (351 words) - 11:28, 7 March 2019
- In [[mathematics]], a '''Fermat number''', named after [[Pierre de Fermat]] who first studied them, is a positive ...up> + 1).) In other words, every prime of the form {{Kbn|+|n}} is a Fermat number, and such primes are called '''Fermat primes'''. The only known Fermat prim12 KB (1,913 words) - 14:35, 9 August 2021
- The term '''whole number''' does not have a consistent definition. Various authors use it in one of *the positive integers (1, 2, 3, ...) (often called [[natural number]]s)413 bytes (54 words) - 09:51, 8 February 2019
- ...or bang) after a number, it represents multiplying a number by all [[whole number|whole numbers]] smaller than it. *[[Multifactorial number]]729 bytes (93 words) - 13:40, 5 November 2023
- ...he integers <math>a</math> and <math>b</math> are both greater than 1, the number is composite. *[[Wikipedia:Composite number|Wikipedia]]358 bytes (56 words) - 23:30, 26 October 2020
- '''Number theory''' is a branch of pure [[mathematics]] devoted primarily to the stud202 bytes (29 words) - 12:55, 20 January 2019
- ...ber of objects can be placed into exactly 2 groups that have the identical number of objects. *[[Odd number]]425 bytes (61 words) - 11:19, 7 March 2019
- An '''odd number''' is any [[integer]] that is not divisible by 2. *[[Even number]]316 bytes (42 words) - 11:21, 7 March 2019
- A '''real number''' is either a [[rational number]] or an [[irrational number]]. The set of real numbers is denoted by <math>\mathbb{R}</math>. *[[Wikipedia:Real_number|Real number]]390 bytes (57 words) - 15:00, 26 March 2023
- A '''rational number''' is a [[real number]] which can be written as <math>\frac{a}{b}</math> or <math>a/b</math> wher ...r [[greatest common divisor]]. This operation does not change the rational number represented by the fraction.3 KB (541 words) - 15:01, 26 March 2023
- ...an '''irrational number''' is any [[real number]] that is not a [[rational number]], i.e., one that cannot be written as a ratio of two integers, i.e., it is *[[Wikipedia:Irrational_number|Irrational number]]763 bytes (124 words) - 15:14, 26 March 2023
- *[[Whole number]] *[[Wikipedia:Natural_number|Natural number]]316 bytes (43 words) - 15:00, 26 March 2023
- ...l number {{Vk}} such that all {{Kbn|+|k|n}} for all {{Vn}} are [[Composite number|composite]]. *[[Wikipedia:Sierpiński_number|Sierpiński number]]324 bytes (48 words) - 13:37, 8 April 2023
- In [[mathematics]], a '''perfect number''' is defined as an integer which is the sum of its proper positive divisor ...and 3 are its proper positive divisors and 1 + 2 + 3 = 6. The next perfect number is 28 = 1 + 2 + 4 + 7 + 14. The next perfect numbers are 496 and 8128.6 KB (885 words) - 11:33, 7 March 2019
- ...value of ''k'' such that {{Kbn|k|n}} is always composite for all [[natural number]]s. In order to demonstrate whether 509203 is the smallest Riesel number or not (the '''[[Riesel problem 1]]'''), a [[distributed computing project]827 bytes (112 words) - 08:21, 25 March 2024
- A '''complex number''' is defined as a pair of [[real number]]s <math>z = (x, y)</math> where the following operations are defined: ...mbers behaves as real numbers. That's why the first element of the complex number is known as the ''real part'' and the second element as the ''imaginary par2 KB (280 words) - 14:59, 26 March 2023
- ...ble Mersenne number''' is a number where the exponent is also a [[Mersenne number]] and usually a [[Mersenne prime]]. These are generally denoted as '''MM<su ...igit]]s long. [[Tony Forbes]] lead an effort to find a [[factor]] for this number. The search has included all '''''[[Value k|k]]''''' values up to {{Num|1164 KB (655 words) - 14:50, 19 September 2021
- {{Shortcut|SNFS|Special number field sieve: special-purpose [[factorization]] algorithm.}} ...(SNFS)''' is a special-purpose [[factorization]] algorithm. The [[general number field sieve]] (GNFS) was derived from it.1 KB (186 words) - 12:07, 19 February 2019
- There are different kinds of '''generalized [[Fermat number]]s'''. :<math>F_{0,r}</math> generates the [[Mersenne number]]s.5 KB (726 words) - 09:57, 12 September 2021
- An '''abundant number''' is any number, '''''n''''', which has a [[sigma|sigma value]] greater than '''''2n'''''. ...bers increase the size of an [[aliquot sequence]] because when an abundant number occurs in a sequence, the next step is larger than the current step. Also,671 bytes (92 words) - 00:34, 30 January 2019
Page text matches
- A '''Williams number''' is a [[natural number]] of the form {{Kbn|(b-1)|b|n}} for integers ''b'' ≥ 2 and ''n'' ≥ 1. A '''Williams prime''' is a Williams number which is [[prime]].5 KB (744 words) - 07:30, 5 August 2019
- Splitting a sieve file in [[PRP-LLR format]] into a number of separate files using <code>[[wikipedia:AWK|awk]]</code>.1 KB (203 words) - 18:52, 2 October 2022
- ...primes are much rarer than ordinary primes, of which there are an infinite number. The GIMPS effort, exhaustively searching for possible candidates since 1993 KB (450 words) - 14:37, 21 August 2019
- *'''#''': number count of the Mersenne primes linked to that prime page *'''Digits in P<sub>n</sub>''': denotes the [[Perfect number]] 2<sup>n-1</sup> • (2<sup>n</sup>-1) and a downloadable decimal repre2 KB (360 words) - 09:44, 6 March 2019
- More generally, [[Mersenne number]]s (not necessarily primes, but candidates for primes) are numbers that are ...ved that all [[even number|even]] perfect numbers have this form. No [[odd number|odd]] perfect numbers are known, and it is suspected that none exists.5 KB (857 words) - 14:53, 19 September 2021
- A '''Mersenne number''' is a number of the form <math>2^n{-}1</math> where <math>n</math> is a non-negative [[i ...[prime]], it is called a [[Mersenne prime]], otherwise it is a [[composite number]].2 KB (351 words) - 11:28, 7 March 2019
- ...his approach to mathematical research becomes apparent. He saw studies of number theory as being vital to the foundations of calculus, and that special func ...to denote the circumference of a circle. Johann Bernoulli represented the number by c. Euler in 1734 denoted it by p, and in a letter of 1736 (in which he f16 KB (2,614 words) - 11:48, 14 January 2024
- ...ctures that were later proven or refuted by other mathematicians. [[Fermat number]]s are named after him.429 bytes (63 words) - 11:44, 14 January 2024
- ...ted in the New York times on 1978-11-21. The 18 year-olds were studying [[number theory]] at the time at CSUH with Dr. [[Derrick Henry Lehmer]] of [[Univers ...e [[multiplication]]s need in [[Lucas-Lehmer test]]ing of large [[Mersenne number]]s.2 KB (333 words) - 12:40, 9 February 2022
- ...l and Nickel were still high school students. For the verification of this number alone, the pair used almost eight hours of time running an assembly languag2 KB (254 words) - 01:23, 15 January 2024
- Entropia grew to collaborate with a number of major technology companies including IBM and British Aerospace in the fi985 bytes (141 words) - 01:30, 15 January 2024
- In [[mathematics]], a '''Fermat number''', named after [[Pierre de Fermat]] who first studied them, is a positive ...up> + 1).) In other words, every prime of the form {{Kbn|+|n}} is a Fermat number, and such primes are called '''Fermat primes'''. The only known Fermat prim12 KB (1,913 words) - 14:35, 9 August 2021
- | number=467333183359...069762179071 ...mputer network administrator. [https://www.popsci.com/worlds-largest-prime-number-discovered] The primality proof took 6 days of non-stop computing.2 KB (333 words) - 13:16, 17 February 2019
- | number=300376418084...391086436351 To confirm that there were no errors in the [[hardware]] or [[software]], the number had to be independently verified by running tests on various machines with2 KB (283 words) - 11:50, 18 February 2019
- ...factoring a number ''N'' is hereby reduced to the discovery of an adequate number of quadratic residues ''R'' of ''N'' and the superposition of the correspon ...ber sieves]] to be run on a computer. He had previously built an automatic number sieve from a small electric motor and some bicycle chains hanging from spro6 KB (1,033 words) - 01:13, 15 January 2024
- A '''Titanic prime''' is a [[prime]] number whose decimal representation has {{Num|1000}} or more digits.394 bytes (48 words) - 11:40, 2 July 2020
- A '''gigantic prime''' is a [[prime]] number whose decimal representation has at least {{Num|10000}} [[digit]]s.515 bytes (67 words) - 13:38, 6 March 2019
- A '''Megaprime''' is a [[prime]] number whose decimal representation has {{Num|1000000}} or more digits. There are ...st is avalable [http://primes.utm.edu/primes/search.php?MinDigits=1000000&&Number=10000&Style=HTML here].806 bytes (111 words) - 07:59, 14 July 2021
- A '''Gigaprime''' is a [[prime]] number whose [[decimal]] representation has {{Num|1000000000}} or more [[digit]]s. [[Operation Billion Digits]] is factoring [[Mersenne number]]s in this range.871 bytes (119 words) - 07:54, 14 July 2021
- [[Category:Number]]980 bytes (143 words) - 13:22, 6 March 2019
