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• What use are prime numbers anyway?
  ==So it would seem to be a fair question "What use are prime numbers?"== ...e would not exist as we know it, and all of this security depends on prime numbers.
  3 KB (497 words) - 07:17, 22 May 2020
• Strong law of small numbers
  ...athematician]] Richard K. Guy published a paper ''"The Strong Law of Small Numbers"''. In it he states, :"There aren't enough small numbers to meet the many demands made of them."
  1 KB (197 words) - 15:02, 11 February 2019

Page text matches

• Williams prime
  ...both signs, there're four different types of numbers similiar to Williams numbers.
  5 KB (744 words) - 07:30, 5 August 2019
• Great Internet Mersenne Prime Search
  ...be downloaded from the Internet, in order to search for [[Mersenne prime]] numbers. ...an, who was born in 1588. Mersenne investigated a particular type of prime numbers: 2^p - 1, in which ''p'' is an ordinary [[prime]].
  3 KB (450 words) - 14:37, 21 August 2019
• List of known Mersenne primes
  *[https://www.mersenne.org/primes/ List of known Mersenne prime numbers] at Mersenne.org *[http://www.utm.edu/research/primes/mersenne.shtml prime Mersenne Numbers - History, Theorems and Lists] Explanation
  2 KB (360 words) - 09:44, 6 March 2019
• Mersenne prime
  ...Mersenne number]]s (not necessarily primes, but candidates for primes) are numbers that are one less than a power of two; hence, ...umber|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
• Mersenne number
  ==Properties of Mersenne numbers== Mersenne numbers share several properties:
  2 KB (351 words) - 11:28, 7 March 2019
• Leonhard Euler
  ...term 'function' in this context. He is the only mathematician to have two numbers named after him.
  16 KB (2,614 words) - 11:48, 14 January 2024
• Pierre de Fermat
  429 bytes (63 words) - 11:44, 14 January 2024
• Landon Curt Noll
  2 KB (333 words) - 12:40, 9 February 2022
• George Woltman
  ...ing project|distributed computing project]] researching [[Mersenne prime]] numbers using his software [[Prime95]] and [[Prime95|MPrime]]. He graduated from th
  1 KB (164 words) - 14:40, 21 August 2019
• Fermat number
  where {{Vn}} is a [[non-negative]] [[integer]]. The first eight Fermat numbers are (see {{OEIS|l|A000215}}): ...e found at [http://www.prothsearch.com/fermat.html Prime Factors of Fermat Numbers]
  12 KB (1,913 words) - 14:35, 9 August 2021
• Derrick Henry Lehmer
  ...stencils. In the days before computers [[Factorization|factorising]] large numbers was a laborious task and many methods had been tried to make it easier. [[F ...ciently influential that the terms in this sequence are now called 'Lehmer Numbers'. He also clarified and extended Lucas' use of the Fermat congruence in pri
  6 KB (1,033 words) - 01:13, 15 January 2024
• Megaprime
  ...are infinitely primes. In fact, since there are only finitely many natural numbers with less than {{Num|1000000}} digits, "nearly all" primes are megaprimes.
  806 bytes (111 words) - 07:59, 14 July 2021
• Gigaprime
  ...are infinitely primes. In fact, since there are only finitely many natural numbers with less than {{Num|1000000000}} digits, "nearly all" primes are gigaprime
  871 bytes (119 words) - 07:54, 14 July 2021
• Cunningham project
  ...the supply of numbers to be factored is low, the project starts factoring numbers with higher exponents, tracking the advances in factorization algorithms an For Mersenne numbers of the form <math>2^n-1</math>, even this trivial factor is not possible fo
  7 KB (1,150 words) - 23:48, 19 April 2023
• 2 Minus Tables
  ==Factorizations Of Cunningham Numbers C^-(2,n) = 2ⁿ - 1==
  2 KB (176 words) - 12:01, 13 February 2019
• Lucas-Lehmer test
  ...an [[Édouard Lucas]] (1842 - 91) developed an entirely new way of proving numbers prime without attempting to find all of their factors. Instead, he showed t ...ger number, the Lucas-Lehmer number, is calculated as one in a sequence of numbers where each number is the previous number squared, minus 2. So that where S<
  20 KB (3,572 words) - 14:30, 17 February 2019
• Édouard Lucas
  ...] is named after him. He devised a new method for testing the primality of numbers that did not require finding all of their factors. In 1930, [[Derrick Henry
  2 KB (296 words) - 01:09, 15 January 2024
• Edson Smith
  ...e people, sort of a passion. There's really no guarantee that any of these numbers exist. We don't know they're there until we find them. So it's exciting to
  4 KB (564 words) - 00:11, 15 January 2024
• Digit
  ...r "7") used in numerals (combinations of symbols, e.g. "37"), to represent numbers, ([[integer]]s or [[real number]]s) in positional numeral systems. The name
  1 KB (171 words) - 10:17, 18 January 2019
• Decimal
  ...d the radix point) that is sometimes used to separate the positions of the numbers in this system. This is the common every-day numbering system that people u ...han ten distinct values (0, 1, 2, 3, 4, 5, 6, 7, 8 and 9) to represent any numbers, no matter how large. These digits are often used with a decimal separator
  1 KB (190 words) - 10:23, 18 January 2019
• Base
  ...number of different [[digit]]s that a system of counting uses to represent numbers. For example, the most commonly used base today is the decimal system. Beca ==Numbers in different bases==
  2 KB (399 words) - 10:37, 18 January 2019
• Whole number
  413 bytes (54 words) - 09:51, 8 February 2019
• Integer
  ...fer only to the positive integers (with or without zero). Like the natural numbers, the integers form a countably infinite set. ...ative natural numbers, and, importantly, zero, '''Z''' (unlike the natural numbers) is also closed under [[subtraction]]. '''Z''' is not closed under the oper
  3 KB (404 words) - 14:58, 26 March 2023
• Mathematics
  :*[[Arithmetic]] - The study of whole numbers and fractions. ...Algebra]] - The use of abstract symbols to represent mathematical objects (numbers, lines, matrices, transformations), and the study of the rules for combinin
  1 KB (186 words) - 17:00, 5 February 2019
• Arithmetic
  ...[subtraction]], [[multiplication]] and [[division]] with smaller values of numbers.
  561 bytes (76 words) - 12:53, 18 January 2019
• Addition
  In [[mathematics]]: to sum 2 numbers. It is normally symbolized by the plus sign '+'.
  333 bytes (43 words) - 16:55, 29 August 2022
• Multiplication
  ...sult of a multiplication is called the product of a and b, and each of the numbers is called a [[factor]] of the product ab. The result of multiplying no numbers (empty product) is always 1 (the multiplicative identity, see below). The m
  2 KB (271 words) - 17:00, 29 August 2022
• Factorial number
  ...r a number, it represents multiplying a number by all [[whole number|whole numbers]] smaller than it.
  729 bytes (93 words) - 13:40, 5 November 2023
• Factor
  A '''factor''' is one of the numbers or expressions that make up another number by [[multiplication]]. Let a and
  576 bytes (107 words) - 19:03, 5 February 2019
• Subtraction
  ...n for finding the difference between two numbers. The special names of the numbers in a subtraction expression are, minuend &minus; subtrahend = difference. T
  893 bytes (128 words) - 16:58, 29 August 2022
• Division
  ...numerator'' and ''denominator''). A fraction is an accepted way of writing numbers. It is not always expected that the result of the division is written in de
  2 KB (368 words) - 16:58, 29 August 2022
• Factoring Database
  The '''Factoring Database''' is a database of [[factor]]s of numbers of any kind, programmed by Markus Tervooren. *Users can search for known factors of numbers
  1 KB (144 words) - 13:44, 24 January 2019
• Factorization
  ...]]: Asymptotically faster than trial factoring, but the overhead for small numbers makes this method convenient only for finding factors in the range of 10 to ...ction factorization algorithm]] or CFRAC: It is a fast method to factorize numbers in the range 10 to 20 digits.
  4 KB (642 words) - 12:57, 5 March 2019
• EFF prizes
  ...tion]] (EFF) offers prizes to the people/projects that finds the following numbers:
  2 KB (321 words) - 18:50, 14 December 2023
• Mlucas
  ...mersenneforum.org/showthread.php?t=18748 Use of Mlucas code to test Fermat numbers] at [[MersenneForum]]
  1 KB (198 words) - 07:28, 22 August 2019
• Prime95
  ...istributed computing]] project dedicated to finding new [[Mersenne prime]] numbers. More specifically, Prime95 refers to the Windows and Mac OS X versions of ...ne of the earliest [[grid computing]] projects, researching Mersenne prime numbers, to demonstrate distributed computing software of Entropia, a company he fo
  11 KB (1,586 words) - 12:24, 7 August 2021
• Even number
  All numbers ending in 0, 2, 4, 6, or 8 are even.
  425 bytes (61 words) - 11:19, 7 March 2019
• Odd number
  ...sed in decimal notation, the odd numbers end in 1, 3, 5, 7 or 9. All prime numbers except 2 are odd.
  316 bytes (42 words) - 11:21, 7 March 2019
• CUDALucas
  2 KB (275 words) - 11:11, 21 August 2019
• Glucas
  3 KB (426 words) - 14:21, 14 February 2019
• CPU
  *[[Addition|Add]] two numbers together ...OS. A computer program can control these peripherals by reading or writing numbers to special places in the computer's memory.
  2 KB (366 words) - 09:57, 13 February 2019
• Fast Fourier transform
  17 KB (2,684 words) - 18:50, 28 September 2023
• ClLucas
  1 KB (137 words) - 18:48, 14 December 2023
• GpuLucas
  ...rete weighted transform|IBDWT]]-method for fast multiplies modulo Mersenne numbers.
  2 KB (239 words) - 11:12, 13 February 2019
• GpuOwL
  1 KB (216 words) - 05:22, 1 December 2020
• Classes of computers
  ...ating point operation is the calculation of mathematical equations in real numbers. In terms of computational capability, memory size and speed, I/O technolog
  4 KB (558 words) - 22:55, 3 February 2019
• MersenneForum
  2 KB (293 words) - 17:33, 5 July 2019
• Primo
  '''Primo''' is a computer program which tests numbers for [[prime|primality]] using the [[Elliptic Curve Primality Proving]] (ECP
  1 KB (191 words) - 20:33, 12 May 2020
• M33
  *[https://www.mersenne.org/primes/ List of known Mersenne prime numbers] at [[PrimeNet]]
  814 bytes (97 words) - 08:38, 18 February 2019
• 2 Plus Tables
  ==Factorizations Of Cunningham Numbers C⁺(2,n) = 2ⁿ + 1==
  2 KB (127 words) - 15:28, 17 August 2019

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