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  • Williams prime
    ...a [[natural number]] of the form {{Kbn|(b-1)|b|n}} for integers ''b'' ≥ 2 and ''n'' ≥ 1. ...Smallest <ref>The list of smallest primes of any base is an ASCII file for 2 ≤ ''b'' ≤ 1024. For unknown values only the base is given.</ref> !! Rem
    5 KB (744 words) - 07:30, 5 August 2019
  • Carol-Kynea prime 2
    |CKBase=2 2
    5 KB (537 words) - 08:17, 9 October 2020
  • Carol-Kynea prime 6
    2 2
    1 KB (85 words) - 10:45, 16 April 2023
  • Srsieve
    '''srsieve''' (and '''sr1/2/5sieve''') is used to create sieve files for one or more sequences. Those s
    2 KB (265 words) - 07:36, 28 May 2021
  • Examples
    <pre><math>\sideset{_1^2}{_3^4}\prod_a^b</math></pre> :<math>\sideset{_1^2}{_3^4}\prod_a^b</math>
    11 KB (1,236 words) - 14:41, 3 September 2020
  • Great Internet Mersenne Prime Search
    ...as born in 1588. Mersenne investigated a particular type of prime numbers: 2<sup>p</sup> - 1, in which ''p'' is an ordinary [[prime]].
    3 KB (450 words) - 14:37, 21 August 2019
  • List of known Mersenne primes
    *'''Digits in M<sub>n</sub>''': denotes the [[Mersenne prime]] 2<sup>n</sup>-1 and a downloadable decimal representation ...n P<sub>n</sub>''': denotes the [[Perfect number]] 2<sup>n-1</sup> &bull; (2<sup>n</sup>-1) and a downloadable decimal representation
    2 KB (360 words) - 09:44, 6 March 2019
  • Mersenne prime
    ...is one less than a [[power of two]]. For example, 3 = 4 &minus; 1 = {{Kbn|2}} is a Mersenne prime; so is 7 = 8 &minus; 1 = {{Kbn|3}}. On the other hand :<math>M_n=2^n{-}1</math> .
    5 KB (857 words) - 14:53, 19 September 2021
  • Mersenne number
    A '''Mersenne number''' is a number of the form <math>2^n{-}1</math> where <math>n</math> is a non-negative [[integer]]. ...senne number <math>2^n{-}1</math> can be calculated by <math>\lfloor{n*log(2)}\rfloor+1</math> (see [[floor function]]).
    2 KB (351 words) - 11:28, 7 March 2019
  • Leonhard Euler
    ...for finite differences <math>\large\delta y</math> and <math>\large\delta^2 y</math> and many more.
    16 KB (2,614 words) - 11:48, 14 January 2024
  • Marin Mersenne
    : <math>\sqrt[4]{\frac{2}{3-\sqrt{2}}}</math> ...ined if the ratio of the air oscillation frequencies is also 1&nbsp;:&nbsp;2, which in turn is consistent with the source-air-motion-frequency-equivalen
    11 KB (1,582 words) - 01:17, 15 January 2024
  • Euclid
    ...c and fundamental parts of geometry; 1. A point is that which has no part. 2. A line is breadthless length. From these definitions of the point and the
    2 KB (341 words) - 11:43, 14 January 2024
  • Landon Curt Noll
    ...l candidates with prime [[exponent]]s up to and including M26. During that 2 hour period, it duplicated what had previously occurred over a 520 year per
    2 KB (333 words) - 12:40, 9 February 2022
  • Laura A. Nickel
    ...aura A. Nickel''') with [[Landon Curt Noll]] discovered on 1978-10-30 that 2<sup>21701</sup>-1 was the [[M25|25th Mersenne prime]]. This made internatio
    2 KB (254 words) - 01:23, 15 January 2024
  • David Slowinski
    | [[M27]] || 2<sup>{{Num|44497}}</sup>-1 || 1979-04-08 | [[M28]] || 2<sup>{{Num|86243}}</sup>-1 || 1982-09-25
    1 KB (213 words) - 23:53, 14 January 2024
  • Fermat number
    :{{V|F}}<sub>{{Vn}}</sub> = {{Kbn|+|1|2|2<sup>n</sup>}} :{{V|F}}<sub>1</sub> = {{Kbn|+|2}} = 5
    12 KB (1,913 words) - 14:35, 9 August 2021
  • M50
    The official discovery date for prime 2<sup>77 232 917</sup>-1 was 2017-12-26. See the [https://www.mersenne.org/pr ...glund also confirmed using Mlucas running on an [[Amazon EC2]] instance in 2.7 days
    2 KB (333 words) - 13:16, 17 February 2019
  • M49
    The official discovery date for 2<sup>{{Num|74207281}}</sup>-1 was 2016-01-07. See the [http://www.mersenne.o ...ill, who each ran the [[CUDALucas]] software on NVidia Titan Black GPUs in 2.3 days
    2 KB (283 words) - 11:50, 18 February 2019
  • Curtis Cooper
    ...-09-04 when the pair discovered the [[M44|44th]] known [[Mersenne prime]], 2<sup>32 582 657</sup>-1. As of 2008-09-15 his account is ranked #1 on [[Prim On 2013-01-25 Cooper discovered his third Mersenne prime, 2<sup>57 885 161</sup>-1, the [[M48|48th]] known.
    2 KB (237 words) - 11:34, 14 January 2024
  • Derrick Henry Lehmer
    ...k's father enabled them to find factors for all integers up to ''48911<sup>2</sup>'', and these factorisations were published in a book in 1929. That su ...improvement to the [[Lucas primality test]] for [[Mersenne prime]]s <math>2^p{-}1</math>, extending its application to all odd prime exponents ''p'', a
    6 KB (1,033 words) - 01:13, 15 January 2024
  • Home prime
    ==Base 2== HP<sub>2</sub>(10):
    980 bytes (143 words) - 13:22, 6 March 2019
  • Base 2 Home Prime Results
    ==Search for Home Primes base 2== {{HP|2|2295|281|189|2013-07-23|}}
    2 KB (175 words) - 18:45, 14 December 2023
  • Cunningham tables
    *[[2 Minus Tables]] *[[2 Plus Tables]]
    614 bytes (69 words) - 12:08, 13 February 2019
  • Cunningham project
    ...zation]] of numbers of the form <math>b^n\pm 1</math> for <math>b</math> = 2, 3, 5, 6, 7, 10, 11, 12. The values of the exponent <math>n</math> are sele | 2 || 3 || 5 || 6 || 7 || 10 || 11 || 12
    7 KB (1,150 words) - 23:48, 19 April 2023
  • 2 Minus Tables
    ==Factorizations Of Cunningham Numbers C<sup>-</sup>(2,n) = 2<sup>n</sup> - 1== * 001 - 100 : {{FDBCunningham|2|-|1|100}}
    2 KB (176 words) - 12:01, 13 February 2019
  • M25
    M25 is 2<sup>{{Num|21701}}</sup>-1, a number of {{Num|6533}} [[digit]]s. .... They were testing this theory and that Tuckerman's discovery of [[M24]] (2<sup>{{Num|19937}}</sup>-1) was the start of this island.
    2 KB (303 words) - 11:01, 26 February 2019
  • Lucas-Lehmer test
    ...S<sub>0</sub>=4 and S<sub>n</sub> = (S<sub>n-1</sub>)<sup>2</sup> &minus; 2. In 1930, the American mathematician [[Derrick Henry Lehmer]] (1905 - 1991) ...hat 2<sup>5</sup> - 1 divides S<sub>3</sub> (37634 / 31 = 1214) shows that 2<sup>5</sup> - 1 is prime.
    20 KB (3,572 words) - 14:30, 17 February 2019
  • Édouard Lucas
    ...te the [[Lucas-Lehmer test]]. In 1876, Lucas proved the primality of <math>2^{127}{-}1</math> ([[M12]]) and this remained the highest [[Mersenne prime]]
    2 KB (296 words) - 01:09, 15 January 2024
  • Decimal
    ...at people use in most of the world. [[Computer]]s use '''binary''' or base 2. The length of a number (how many [[digit]]s it takes to write the number) ...us symbols (called [[digit]]s) for no more than ten distinct values (0, 1, 2, 3, 4, 5, 6, 7, 8 and 9) to represent any numbers, no matter how large. The
    1 KB (190 words) - 10:23, 18 January 2019
  • Base
    Different bases are often used in [[computer|computers]]. Binary (base 2) is used because at the most simple level, computers can only deal with 0s ! Decimal<br>base=10 !! Binary<br>base=2 !! Hexadecimal<br>base=16
    2 KB (399 words) - 10:37, 18 January 2019
  • Whole number
    *the nonnegative [[integer]]s (0, 1, 2, 3, ...) *the positive integers (1, 2, 3, ...) (often called [[natural number]]s)
    413 bytes (54 words) - 09:51, 8 February 2019
  • Integer
    ...[natural number]]s (1, 2, 3, &hellip;), their negatives (&minus;1, &minus;2, &minus;3, ...) and the number zero. The set of all integers is usually den ...f [[division]], since the quotient of two integers (''e.g.'', 1 divided by 2), need not be an integer.
    3 KB (404 words) - 14:58, 26 March 2023
  • Mathematics
    ...s <math>a</math> and <math>b</math>, <math>(a + b) * (a - b)\,=\,a^2\,-\,b^2</math>.
    1 KB (186 words) - 17:00, 5 February 2019
  • Addition
    In [[mathematics]]: to sum 2 numbers. It is normally symbolized by the plus sign '+'. :2 + 2 = 4
    333 bytes (43 words) - 16:55, 29 August 2022
  • Multiplication
    ...largest available register is ''n'' bits wide the factors can only be ''n/2'' bits wide each.
    2 KB (271 words) - 17:00, 29 August 2022
  • Factorial number
    :<math>n! = 1 \cdot 2 \cdot 3 \cdots (n{-}2) \cdot (n{-}1) \cdot n</math> :5! = 5 * 4 * 3 * 2 * 1 = 120
    729 bytes (93 words) - 13:40, 5 November 2023
  • Division
    :<math>\frac 63 = 2</math> :<math>2 \times 3 = 6</math>.
    2 KB (368 words) - 16:58, 29 August 2022
  • Remainder
    ...ft over after dividing something. Dividing 13 into groups of 5 would yield 2 groups, with a remainder of 3.
    245 bytes (34 words) - 14:07, 18 January 2019
  • Factoring Database
    **Greatest prime factor ^2+1, ^2+2, ^2-1, ^2-2, ^3+1, ^3-1
    1 KB (144 words) - 13:44, 24 January 2019
  • Factorization
    ...composite numbers have small factors (half of the numbers are multiples of 2, a third are multiples of 3 and so on) it pays to run factorization methods
    4 KB (642 words) - 12:57, 5 March 2019
  • M48
    The official discovery date for 2<sup>{{Num|57885161}}</sup>-1 was 2013-01-25. See the [http://www.mersenne.o *[https://www.youtube.com/watch?v=QSEKzFGpCQs New Largest Known Prime Number 2<sup>57,885,161</sup>-1] at YouTube channel Numberphile
    2 KB (235 words) - 11:49, 18 February 2019
  • M47
    ...found. [[M45]], [[M46]], and M47 were discovered in the order of M47, M45 (2 weeks later), then M46 (8 months later). On 2018-04-08 all tests below 2<sup>{{Num|43112609}}</sup>-1 were verified by [[GIMPS]], officially making
    5 KB (694 words) - 13:17, 21 August 2019
  • Prime95
    ...fafaf; background-color: #f9f9f9; border-collapse: collapse;" cellpadding="2" !Comparison of CPU core power!!Frequency!!Cores!!colspan="2" | [[Fast Fourier transform|FFT]]!![[Trial factoring]]!!TDP
    11 KB (1,586 words) - 12:24, 7 August 2021
  • Even number
    ...n the physcial world, an even number of objects can be placed into exactly 2 groups that have the identical number of objects. All numbers ending in 0, 2, 4, 6, or 8 are even.
    425 bytes (61 words) - 11:19, 7 March 2019
  • Odd number
    An '''odd number''' is any [[integer]] that is not divisible by 2. ...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
  • M41
    | foundwith=[[Lucas-Lehmer test]] / [[Prime95]] on 2.4 GHz Pentium 4 [[Personal computer|PC]] '''M41''' is the short hand used to refer to the 41st [[Mersenne prime]] 2<sup>{{Num|24036583}}</sup>-1.
    1 KB (203 words) - 11:26, 18 February 2019
  • M43
    | foundwith=[[Lucas-Lehmer test]] / [[Prime95]] on 2 GHz Pentium 4 [[Personal computer|PC]] '''M43''' is the short hand used to refer to the 43rd [[Mersenne prime]] 2<sup>{{Num|30402457}}</sup>-1.
    1 KB (191 words) - 11:31, 18 February 2019
  • M46
    | foundwith=[[Lucas-Lehmer test]] / [[Prime95]] on 3 GHz Core 2 [[Personal computer|PC]] '''M46''' is the short hand used to refer to the 46th [[Mersenne prime]] 2<sup>{{Num|42643801}}</sup>-1.
    2 KB (248 words) - 11:45, 18 February 2019
  • Riesel prime 2 21143
    |Rb=2
    403 bytes (26 words) - 18:40, 2 January 2023
  • Riesel prime 2 102765
    |Rb=2
    935 bytes (70 words) - 18:56, 10 December 2022
  • Riesel prime 2 182627
    |Rb=2
    255 bytes (24 words) - 22:20, 10 December 2022
  • Proth prime 2 1089927
    |Pb=2
    432 bytes (32 words) - 13:38, 2 January 2023
  • Proth prime 2 12321
    |Pb=2
    498 bytes (31 words) - 13:34, 2 January 2023
  • Riesel prime 2 187605
    |Rb=2 2;T:S
    490 bytes (35 words) - 12:22, 11 December 2022
  • Riesel prime 2 132165
    |Rb=2 2
    557 bytes (25 words) - 12:35, 11 December 2022
  • Proth prime 2 1943873
    |Pb=2
    334 bytes (32 words) - 15:12, 27 January 2023
  • Program
    ...Programming, Volume 2, 3rd Edition, 1997, Addison-Wesley, ISBN 0-201-89684-2
    2 KB (263 words) - 11:53, 7 February 2019
  • M42
    | foundwith=[[Lucas-Lehmer test]] / [[Prime95]] on 2.4 GHz Pentium 4 [[Personal computer|PC]] '''M42''' refers to the 42nd [[Mersenne prime]] 2<sup>{{Num|25964951}}</sup>-1.
    934 bytes (118 words) - 11:26, 18 February 2019
  • M1
    | nvalue= 2
    193 bytes (19 words) - 13:43, 17 February 2019
  • Conjectures 'R Us
    ...t in proving the [[Liskovets-Gallot conjectures]] for the forms {{Kbn|±|k|2|n}} where {{Vn}} is always odd '''and''' where {{Vn}} is always even. ==Sub-project #2==
    3 KB (503 words) - 02:20, 1 May 2024
  • Fast Fourier transform
    :<math>\large f_j = \sum_{k=0}^{n-1} x_k e^{-{2\pi i \over n} jk } \qquad j = 0, ... ,n-1.</math> Evaluating these sums directly would take O(''n''<sup>2</sup>) arithmetical operations . An FFT is an algorithm to compute the same
    17 KB (2,684 words) - 18:50, 28 September 2023
  • GpuLucas
    ...rform nearly two times faster than [[CUDALucas]] due to using non-power-of-2 [[Fast Fourier transform|FFT]] lengths. [http://www.mersenneforum.org/showt
    2 KB (239 words) - 11:12, 13 February 2019
  • GpuOwL
    ...ehmer test|LL]], [[Probable prime|PRP]]|title=gpuOwL|release=2017|latest=7.2<br>2020-11-01}} ...nch] at GitHub (version 1 uses 4M FFT and is about 50% faster than version 2) [http://www.mersenneforum.org/showpost.php?p=479585&postcount=320]
    1 KB (216 words) - 05:22, 1 December 2020
  • M32
    | foundwith=[[Lucas-Lehmer test]] / Maple on Harwell Lab [[Cray-2]] :2<sup>756 839</sup>-1, a number {{Num|227832}} [[decimal]] [[digit]] long was
    2 KB (279 words) - 08:35, 18 February 2019
  • M33
    '''M33''' refers to 33rd [[Mersenne prime]] number 2<sup>{{Num|859433}}</sup>-1. ...percomputer]]. Computation of [[Lucas-Lehmer test]] for this number took 7.2 hours.
    814 bytes (97 words) - 08:38, 18 February 2019
  • M34
    ...size (smallest to largest) and in order of discovery. Specifically M34 is 2<sup>{{Num|1257787}}</sup>-1, which is a number {{Num|378632}} [[decimal]] [
    3 KB (513 words) - 08:42, 18 February 2019
  • No Prime Left Behind
    ...2008-01-10. The project searches for [[Riesel prime]]s of the form {{Kbn|k|2|n}} with odd {{Vk}} and 300 < {{Vk}} < 1001 and {{Vn}} > 260000 not reserve
    745 bytes (111 words) - 02:17, 1 May 2024
  • 2 Plus Tables
    ==Factorizations Of Cunningham Numbers C<sup>+</sup>(2,n) = 2<sup>n</sup> + 1== * 001 - 100 : {{FDBCunningham|2|+|1|100}}
    2 KB (127 words) - 15:28, 17 August 2019
  • Absolute value
    <math>|z| = \sqrt{x^2+y^2}</math>
    556 bytes (89 words) - 16:58, 29 August 2022
  • Rational number
    ...power of 2 multiplied by a perfect power of 5, i.e. it has the form <math>2^n \times 5^m</math>.
    3 KB (541 words) - 15:01, 26 March 2023
  • Irrational number
    ...at to be a definition. Some examples of irrational numbers are <math>\sqrt{2}</math> or <math>e</math>.
    763 bytes (124 words) - 15:14, 26 March 2023
  • Binary
    ...umbers using only two [[digit]]s (usually, 0 and 1). Thus it is a [[base]] 2 numbering system. Example: 10110011<sub>2</sub> = 179<sub>10</sub>
    1 KB (210 words) - 11:16, 22 January 2019
  • Repunit
    ...eing the number referred to as "unity") numbers. 111 is a repunit, in base 2 it is equal to 7 (base 10), in base 3 it is equal to 13 (base 10). A '''Generalized repunit''' for any base {{Vb}} &ge; 2 is defined as
    1 KB (207 words) - 08:04, 12 March 2024
  • Parallel computing
    ...hen a single [[processor]], multiple processors, or multiple cores perform 2 or more operations (similar or different) at once, that is '''parallel comp ! Step !! Input 1 !! Operation !! Input 2 !! Result !! 1440<br>x 365
    3 KB (416 words) - 06:47, 1 May 2019
  • Long multiplication
    ...0. Computers normally use a very similar 'shift and add' algorithm in base 2. [[Prime95]] does not use this form of multiplication for large numbers, us
    2 KB (165 words) - 17:01, 29 August 2022
  • Trial factoring
    ...to use as trial divisors. If P(i) is the i'th prime number so P(1) = 2, P(2) = 3, P(3) = 5, etc, then the last prime factor possibility for some number ...< \sqrt{N}</math>) there is no need to try 7 since 2*7 is excluded because 2 will have been tried, 3*7 is excluded because 3 will have been tried, and 5
    7 KB (1,221 words) - 13:20, 11 February 2019
  • M40
    | foundwith=[[Lucas-Lehmer test]] / [[Prime95]] on 2 GHz Dell Dimension ...hort hand used to refer to the 40th [[Mersenne prime]]. Specifically it is 2<sup>{{Num|20996011}}</sup>-1. This number was discovered to be [[prime]] on
    1 KB (189 words) - 11:17, 18 February 2019
  • Michael Shafer
    '''Michael Shafer''' discovered the [[M40|40th]] [[Mersenne prime]], 2<sup>{{Num|20996011}}</sup>-1 at [[GIMPS]] project.
    660 bytes (88 words) - 00:39, 15 January 2024
  • Josh Findley
    ...nt. He is credited with discovery of the [[M41|41st known Mersenne prime]] 2<sup>{{Num|24036583}}</sup>-1.
    695 bytes (93 words) - 11:46, 14 January 2024
  • M39
    ...hort hand used to refer to the 39th [[Mersenne prime]]. Specifically it is 2<sup>{{Num|13466917}}</sup>-1. This number was discovered to be [[prime]] on
    868 bytes (109 words) - 11:14, 18 February 2019
  • M44
    ...efer to the 44th [[Mersenne prime]]. Currently that designation belongs to 2<sup>{{Num|32582657}}</sup>-1.
    997 bytes (129 words) - 11:35, 18 February 2019
  • M45
    | foundwith=[[Lucas-Lehmer test]] / [[Prime95]] on 2.83 GHz Core 2 Duo [[Personal computer|PC]] '''M45''' normally refers to 2<sup>{{Num|37156667}}</sup>-1, the 45th [[Mersenne prime]] in order of size
    2 KB (251 words) - 11:40, 18 February 2019
  • Odd Magnar Strindmo
    ...way who discovered the [[M46|46th Mersenne prime]] (chronologically 47th), 2<sup>{{Num|42643801}}</sup>-1. Strindmo goes by the alias '''Stig M. Valstad Strindmo's 3 GHz Core 2 Duo PC first reported the prime to GIMPS on 2009-04-12. However, due to a s
    991 bytes (141 words) - 00:33, 15 January 2024
  • Richard Crandall
    His Erdös number is 2. He was one of the primary verifiers of [[M32]], [[M33]], and [[M34]].
    3 KB (431 words) - 11:36, 14 January 2024
  • M38
    | top5000id=2 ...hort hand used to refer to the 38th [[Mersenne prime]]. Specifically it is 2<sup>{{Num|6972593}}</sup>-1. This number was discovered to be [[prime]] on
    1 KB (165 words) - 11:10, 18 February 2019
  • Nayan Hajratwala
    ...ers employee from Michigan who discovered the [[M38|38th Mersenne prime]], 2<sup>{{Num|6972593}}</sup>-1.
    809 bytes (109 words) - 23:55, 14 January 2024
  • Coprime
    ...s are coprime with a probability over 60% (the exact number is <math>6/\pi^2</math>).
    738 bytes (112 words) - 09:50, 23 January 2019
  • Modular arithmetic
    ...s arithmetic modulo 12 and the set of numbers representing the hours 0, 1, 2, 3,..., 11 is known as <b>Z</b>/12<b>Z</b>. ...</b>/n<b>Z</b> of numbers modulo n contains the numbers 0, 1, 2, 3, ..., n-2 and n-1. The following operations are defined:
    4 KB (625 words) - 10:25, 23 January 2019
  • Montgomery multiplication
    ...math>ab\,\equiv \,c\,\pmod{m}</math>. We will also assume that <math>m\,<\,2^n</math>. :<math>a'=2^n\,a\,\bmod{m}</math>.
    4 KB (582 words) - 17:01, 29 August 2022
  • Elliptic curve method
    ...iplication|multiplying]] lots of different prime numbers together. So that 2 x 3 x 5 x 7 x 11 x 13 etc will be a highly composite number. But that is on ...,9</math> is a quadratic expression (because the highest power of ''x'' is 2).
    19 KB (3,181 words) - 22:27, 6 July 2023
  • M35
    Specifically 2<sup>{{Num|1398269}}</sup>-1, written out in full [http://www.mersenneforum.
    2 KB (224 words) - 11:00, 18 February 2019
  • University of California, Los Angeles
    ...ter]]. Robinson's Mersenne primes were the first to be found in 75 years (2 in the very first day of the run, no less). And he raised the number of dig ...ugust of 2008, a Dell Optplex 745 (running a Intel Core 2 Duo E6600 CPU at 2.4GHz) in the UCLA Math department computer lab, found [[M47|47th Mersenne p
    2 KB (347 words) - 14:54, 19 September 2021
  • Raphael M. Robinson
    ...e [[Mersenne number]]s were all composite except for 17 values of ''n'' = 2, 3, 5, 7, 13, 17, 19, 31, 61, 89, 107, [[M12|127]], [[M13|521]], [[M14|607]
    4 KB (526 words) - 14:51, 19 September 2021
  • M36
    ...hort hand used to refer to the 36th [[Mersenne prime]], specifically it is 2<sup>{{Num|2976221}}</sup>-1. This number was dicovered to be [[prime]] on 1 The corresponding [[perfect number]] is 2<sup>{{Num|2976220}}</sup> &bull; (2<sup>{{Num|2976221}}</sup>-1). This number is {{Num|1791864}} digits long.
    2 KB (279 words) - 11:01, 18 February 2019
  • Sierpiński problem
    |0||1||2||3||4||5||6||7||8||9||10||11||12||13||14||15||16||17||18||19||20||21||22||2 ...th prime 2 24737|24737]], [[Proth prime 2 55459|55459]], and [[Proth prime 2 67607|67607]] (current status [https://www.primegrid.com/stats_sob_llr.php
    5 KB (650 words) - 10:25, 26 March 2024
  • Paul Seelhoff
    :Found factor [[Proth prime 2 5|{{Kbn|+|5|2|39}}]] of {{DGF|36}}
    2 KB (195 words) - 00:13, 15 January 2024
  • Seventeen or Bust
    The aim of the project is to find [[prime]]s of the form <math>k*2^n+1</math>, where ''k'' is one of the remaining 17 (now 5) candidates for [ |format=,*[[%PAGE%|²{#titleparts:%TITLE%¦1¦2}²]]\n,,
    3 KB (544 words) - 16:44, 21 July 2019
  • M2
    | rank= 2 | pdigits= 2
    193 bytes (19 words) - 13:43, 17 February 2019
  • M3
    | digits= 2
    194 bytes (19 words) - 13:43, 17 February 2019
  • Perfect number
    ...r 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. ...irst four perfect numbers are generated by the formula 2<sup>''n''-1</sup>(2<sup>''n''</sup>-1):
    6 KB (885 words) - 11:33, 7 March 2019

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