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  • Williams prime
    ...-> [[Williams prime MM 4|page]] || {{OEIS|A326655}} -> [[Williams prime MP 4|page]] || ||
    5 KB (744 words) - 07:30, 5 August 2019
  • Carol-Kynea prime 2
    4
    5 KB (537 words) - 08:17, 9 October 2020
  • Carol-Kynea prime 6
    4
    1 KB (85 words) - 10:45, 16 April 2023
  • Splitting a sieve file
    Split the sieve file <code>t16_b999.prp</code> into 4 separate files. *Call <code>gawk -f split.awk files=4 t16_b999.prp</code>.
    1 KB (203 words) - 18:52, 2 October 2022
  • 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
  • Mersenne prime
    ...7 = 8 &minus; 1 = {{Kbn|3}}. On the other hand, 15 = 16 &minus; 1 = {{Kbn|4}}, for example, is not a prime, because 15 is divisible by 3 and 5. ...f {{V|M<sub>p</sub>}} evenly divides <math>S_{p-2}</math>, where <math>S_0=4</math> and for <math>k>0</math>, <math>S_k=S_{k-1}^2-2</math>.
    5 KB (857 words) - 14:53, 19 September 2021
  • Mersenne number
    *Let <math>q = 3 \pmod{4}</math> be a prime. <math>2q+1</math> is also a prime if and only if <math>
    2 KB (351 words) - 11:28, 7 March 2019
  • Marin Mersenne
    : <math>\sqrt[4]{\frac{2}{3-\sqrt{2}}}</math>
    11 KB (1,582 words) - 01:17, 15 January 2024
  • George Woltman
    | MersForum=4 Prime95
    1 KB (164 words) - 14:40, 21 August 2019
  • Fermat number
    :{{V|F}}<sub>2</sub> = {{Kbn|+|4}} = 17 :{{V|F}}<sub>4</sub> = {{Kbn|+|16}} = 65537
    12 KB (1,913 words) - 14:35, 9 August 2021
  • Derrick Henry Lehmer
    ...math> dealing with two cases of the [[Ramanujan conjecture]], that <math>5^4 | p(599)</math> and <math>11^3 | p(721)</math>, computing the values using
    6 KB (1,033 words) - 01:13, 15 January 2024
  • Cunningham project
    Only the first five Fermat numbers, k = 0, 1, 2, 3, 4 corresponding to 3, 5, 17, 257 and 65537 are known to be prime. All Fermat
    7 KB (1,150 words) - 23:48, 19 April 2023
  • Lucas-Lehmer test
    ...991) provided a complete proof that this was not only true when p = 1 (mod 4), but for all odd prime exponents. The test therefore takes its name from t ...he smallest unit of computer memory). The value of S<sub>1</sub> has about 4 (= 2<sup>2</sup>) bits, the value of S<sub>2</sub> has about 8 (= 2<sup>3</
    20 KB (3,572 words) - 14:30, 17 February 2019
  • Édouard Lucas
    '''François Édouard Anatole Lucas''' {{BirthDeath|4. April 1842|3. October 1891}} was born in Amiens, France and educated at th
    2 KB (296 words) - 01:09, 15 January 2024
  • Decimal
    ...bols (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. These dig
    1 KB (190 words) - 10:23, 18 January 2019
  • Base
    ...16) is used because every 4 digits can be used as short for binary. Every 4 binary digits turns into one hexadecimal digit when changing between them.
    2 KB (399 words) - 10:37, 18 January 2019
  • Addition
    :2 + 2 = 4
    333 bytes (43 words) - 16:55, 29 August 2022
  • Exponent
    ...a &times; a &times; a &times; a is written as <math>a^4</math>, the number 4 is the index, or exponent.
    1 KB (273 words) - 16:56, 29 August 2022
  • Factorial number
    :5! = 5 * 4 * 3 * 2 * 1 = 120 :10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 3628800
    729 bytes (93 words) - 13:40, 5 November 2023
  • Composite number
    ...te''' if it is neither [[prime]] nor equal to 1. The smallest composite is 4.
    358 bytes (56 words) - 23:30, 26 October 2020
  • Subtraction
    ...ion are, minuend &minus; subtrahend = difference. The expression 7 &minus; 4 = 3 can be spoken as "seven minus four equals three", "seven take away four
    893 bytes (128 words) - 16:58, 29 August 2022
  • M47
    **One on 4 quad-core SPARC64 VII 2.52GHz CPUs of a Sun SPARC Enterprise M8000 Server
    5 KB (694 words) - 13:17, 21 August 2019
  • Prime95
    |style="text-align:left"|Intel Pentium 4||3078||1||72.40||162.02||14.91||86 |style="text-align:left"|AMD Phenom II X4||3414||4||34.86||76.27||4.59||125
    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
  • M41
    | foundwith=[[Lucas-Lehmer test]] / [[Prime95]] on 2.4 GHz Pentium 4 [[Personal computer|PC]] The discovery took 14 days of computing on 2.4 GHz Pentium 4 Windows XP PC.
    1 KB (203 words) - 11:26, 18 February 2019
  • M43
    | foundwith=[[Lucas-Lehmer test]] / [[Prime95]] on 2 GHz Pentium 4 [[Personal computer|PC]]
    1 KB (191 words) - 11:31, 18 February 2019
  • Riesel prime 2 21143
    4
    403 bytes (26 words) - 18:40, 2 January 2023
  • Proth prime 2 12321
    4
    498 bytes (31 words) - 13:34, 2 January 2023
  • Program
    ...Programming, Volume 1, 3rd Edition, 1997, Addison-Wesley, ISBN 0-201-89683-4
    2 KB (263 words) - 11:53, 7 February 2019
  • M42
    | foundwith=[[Lucas-Lehmer test]] / [[Prime95]] on 2.4 GHz Pentium 4 [[Personal computer|PC]]
    934 bytes (118 words) - 11:26, 18 February 2019
  • Fast Fourier transform
    ...he history of the fast Fourier transform," ''IEEE ASSP Magazine'' '''1''' (4), 14-21 (1984).
    17 KB (2,684 words) - 18:50, 28 September 2023
  • Primo
    |latest=4.3.2<br><small>2020-02-06</small> ...ood]] with Primo 4.3.0. The certification process took 21.5 months using a 4 x 12 core AMD 6174.
    1 KB (191 words) - 20:33, 12 May 2020
  • M32
    :"Took 26.562767 minutes to calculate using Maple 4.0 on a 512-MW 4 CPU Cray 2"
    2 KB (279 words) - 08:35, 18 February 2019
  • 2 Plus Tables
    *4 : {{FDBID|17}}
    2 KB (127 words) - 15:28, 17 August 2019
  • Binary
    :1 &rarr; 1 * 2<sup>4</sup> = 16
    1 KB (210 words) - 11:16, 22 January 2019
  • Parallel computing
    | 4 || 7200 || + || 86400 || 93600 ||
    3 KB (416 words) - 06:47, 1 May 2019
  • M40
    The discovery took 19 days of computation on a 2 GHz Pentium 4 Dell Dimension PC at a Michigan State University lab.
    1 KB (189 words) - 11:17, 18 February 2019
  • M44
    | foundwith=[[Lucas-Lehmer test]] / [[Prime95]] on 3 GHz Pentium 4 [[Personal computer|PC]]
    997 bytes (129 words) - 11:35, 18 February 2019
  • Modular arithmetic
    ...3 hours = 2 PM). We can also subtract: 2-3 = 11 and even multiply: 5&times;4 = 8 (because 5+5+5+5 = 8). This is arithmetic modulo 12 and the set of numb
    4 KB (625 words) - 10:25, 23 January 2019
  • Montgomery multiplication
    :We get: a' = b' = 3 &times; 8 mod 5 = 4 :x = a' b' = 4 &times; 4 = 16
    4 KB (582 words) - 17:01, 29 August 2022
  • Elliptic curve method
    ...''' = '''S'''. Given a point '''P''', we could compute 2'''P''', 3'''P''', 4'''P''', and so on. For some value <math>g</math>. we will have <math>g</mat where: <math>S = \frac {A+2}4</math> which can be precomputed when the elliptic curve is selected and
    19 KB (3,181 words) - 22:27, 6 July 2023
  • University of California, Los Angeles
    ...ty. [[University of Central Missouri]] has contributed to the discovery of 4, making it second to UCLA.
    2 KB (347 words) - 14:54, 19 September 2021
  • Raphael M. Robinson
    ...universal Turing machine," describing a universal [[Turing machine]] with 4 symbols and 7 states;
    4 KB (526 words) - 14:51, 19 September 2021
  • M36
    | top5000id=4
    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||23||24|
    5 KB (650 words) - 10:25, 26 March 2024
  • M4
    | rank= 4 | pdigits= 4
    195 bytes (19 words) - 13:44, 17 February 2019
  • M5
    | digits= 4
    204 bytes (18 words) - 13:46, 17 February 2019
  • Perfect number
    ...sitive 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. :for ''n'' = 5: &nbsp; 2<sup>4</sup>(2<sup>5</sup> - 1) = 496
    6 KB (885 words) - 11:33, 7 March 2019
  • Residue
    ...roneaous residues (meaning they both missed a prime) out of a pool of ~ 18.4 pentillion numbers, this is considered to be impossible. :S0 = 4
    1 KB (235 words) - 10:24, 6 February 2019
  • Mfakto
    ...this will start happening at vector size 8. On a HD6870, a vector size of 4 is fastest except for the barrett92 and barrett72 kernels which run slightl Allowed sizes are 1, 2, 4, 8, 16.
    17 KB (2,524 words) - 12:39, 24 January 2019
  • Rho factorization method
    ...rating the polynomial, and at the same time computing x<sub>2</sub>, x<sub>4</sub>, x<sub>6</sub> and so on by iterating the polynomial twice. Then we c ...o compute gcd(x<sub>1</sub> - x<sub>2</sub>, N), gcd(x<sub>2</sub> - x<sub>4</sub>, N), gcd(x<sub>3</sub> - x<sub>6</sub>, N), and so on until we find a
    3 KB (558 words) - 10:28, 6 February 2019
  • M12
    ...} [http://www.garlic.com/~wedgingt/MMPstats.txt], a [[bit level]] over 169.4. The current version of [[Prime95]] cannot handle numbers this large, nor c
    2 KB (354 words) - 14:52, 19 September 2021
  • Lucas primality test
    Prove that N = 811 is prime knowing that N-1 = 2 &times; 3<sup>4</sup> &times; 5
    1 KB (177 words) - 14:31, 17 February 2019
  • Square root
    ...= 1 + \frac{1}{2}x - \frac{1}{8}x^2 + \frac{1}{16} x^3 - \frac{5}{128} x^4 + ...</math> <u> 1 2. 3 4 </u>
    13 KB (1,873 words) - 16:52, 24 October 2020
  • Pépin's test
    ...of other numbers, like the [[Generalized Fermat number]]s <math>F_{n,2} = 4^{3^n}+2^{3^n}+1</math> with k = 5 instead of k = 3.
    2 KB (401 words) - 14:40, 6 March 2019
  • Proof by induction
    ...ally taken to be 1, but that is not essential. In some proofs (see example 4 below) we have to show that the statement is true for several values of n. :<math>\sum_{k=1}^{n}k^{3}\,=\,\frac{n^{2}(n+1)^{2}}{4}</math>
    4 KB (679 words) - 13:57, 20 February 2019
  • Pseudoprime
    ...of the Miller-Rabin test, for example, has a probability of only <math>{1/4}^{100}</math> of being composite, which is less than <math>10^{-60}</math>.
    1 KB (155 words) - 20:32, 25 July 2020
  • Modular square root
    ===Modulus congruent to 3 modulo 4=== :<math>r\equiv \pm a^{(m+1)/4}\ \pmod m</math>
    5 KB (726 words) - 10:38, 6 February 2019
  • Legendre symbol
    ...es} 1 & \text{if } p \equiv 1 \pmod{4} \\ -1 & \text{if } p \equiv 3 \pmod{4} \end{cases}</math> ...property is known as the [[law of quadratic reciprocity]]. The properties 4 and 5 are traditionally known as the ''supplements'' to quadratic reciproci
    2 KB (348 words) - 18:57, 28 September 2023
  • Law of quadratic reciprocity
    *If at least one of <math>p</math> or <math>q</math> are congruent to 1 mod 4: <math>p</math> is a quadratic residue modulo <math>q</math> if and only if *If both of <math>p</math> or <math>q</math> are congruent to 3 mod 4: <math>p</math> is a quadratic residue modulo <math>q</math> if and only if
    1 KB (208 words) - 18:19, 2 October 2022
  • Double Mersenne number
    This holds true for the first 4 terms: However this does not hold true for next 4 terms:
    4 KB (655 words) - 14:50, 19 September 2021
  • Self-initializing quadratic sieve
    :<math>45^2\,\equiv \,2^4*7^0*13^1</math>
    10 KB (1,763 words) - 02:56, 12 March 2019
  • Miller-Rabin pseudoprimality test
    ...strated that a composite <math>N</math> will only pass at most <math>(N-1)/4</math> such tests. ...35. Since the exponent is 4, the sequence will use exponents from zero to 4.
    3 KB (432 words) - 15:33, 28 January 2019
  • Generalized Fermat number
    3*2^41+1 is a Factor of xGF(38,4,3)!!!! (0.000000 seconds)
    5 KB (726 words) - 09:57, 12 September 2021
  • Patrick Laroche
    ...hunting on his media server to "give back" to the project. After less than 4 months and on just his fourth try, he discovered the new prime number. By w
    987 bytes (147 words) - 01:27, 15 January 2024
  • Top GIMPS teams
    | 4 || [[Team Prime Rib|Ars Technica Team Prime Rib]] || 4457877
    2 KB (206 words) - 09:56, 7 March 2019
  • Aliquot sequence
    :<math>s_1\ =\ 18\ -\ 10\ =\ 8,\ \sigma(8)\ =\ 1\ +\ 2\ +\ 4\ +\ 8</math> :<math>2^4\ *\ 31</math>
    6 KB (914 words) - 19:49, 21 February 2023
  • Abundant number
    The divisors of 12 are <math>(1, 2, 3, 4, 6, 12)</math>, so :<math>\sigma(12)\ =\ 1+2+3+4+6+12\ =\ 28</math>
    671 bytes (92 words) - 00:34, 30 January 2019
  • Prime
    ...whole numbers from 2 to P plus the number 1. In other words, Q = (2 x 3 x 4 x 5 ... x P) + 1. From the form of the number Q, it is obvious that no inte :the remainder r can be only 0, 1, 2, 3, 4, or 5
    2 KB (447 words) - 00:22, 10 July 2023
  • Twin prime
    | align="right" | 10<sup>4</sup> || align="right" | 205
    2 KB (255 words) - 06:08, 21 February 2023
  • Proth prime 2 28831
    4
    581 bytes (64 words) - 19:18, 5 April 2023
  • Math rendering
    | <code>\sideset{_1^2}{_3^4}\prod_a^b</code> || <math>\sideset{_1^2}{_3^4}\prod_a^b</math> | <code>{}_1^2\!\Omega_3^4</code> || <math>{}_1^2\!\Omega_3^4</math>
    33 KB (4,920 words) - 10:54, 7 March 2019
  • Why participate in GIMPS?
    ...d 28 who are equal to the sum of their aliquot divisors: 6 = 1+2+3, 28=1+2+4+7+14). He realized that the even perfect numbers (no odd perfect numbers ar
    7 KB (1,252 words) - 09:47, 7 March 2019
  • Sophie Germain prime
    | 4 || 11 || {{NRi|3|2}} | 17 || 239 || {{NRi|15|4}}
    1 KB (171 words) - 04:26, 3 November 2020
  • Torture test
    ...sing the default "Blend" setting, the first instance each will use about 3/4 of memory the system memory. The second instance will try to do the same. T
    2 KB (323 words) - 10:59, 18 June 2019
  • Introductory stuff
    ...[prime]] number that is one less than a [[power of two]]. For example, 3 = 4 - 1 = 2<sup>2</sup> - 1 is a Mersenne prime; so is 7 = 8 - 1 = 2<sup>3</sup
    14 KB (2,370 words) - 15:15, 17 August 2019
  • Triangular number
    :4△ = 4 + 3 + 2 + 1 = 10 (10 pin bowling uses a triangular arrangement.) :5△ = 5 + 4 + 3 + 2 + 1 = 15 (a common billiards arrangement is 15 balls in a triangle.
    655 bytes (81 words) - 12:49, 25 March 2019
  • Square (geometry)
    A '''square''' is a regular polygon with 4 sides of equal length and with 4 equal interior angles (90 degrees), thus having opposing sides parallel. A square is the most constrained of all types of 4 sided figures.
    296 bytes (42 words) - 13:44, 18 September 2022
  • Pocklington's theorem
    ...the [[KonyaginPomerance|Konyagin-Pomerance Test]] can be used. If <math>f^4 > n</math>, there is a polynomial-time algorithm, due to Coppersmith and Ho ...simplest one which will work for the value of ''f'' you have. For <math>f^4 < n</math>, there is no known algorithm which enhances Pocklington's theore
    2 KB (346 words) - 19:51, 30 August 2019
  • Multiple polynomial quadratic sieve
    :<math>45^2\,\equiv \,2^4*7^0*13^1</math>
    6 KB (1,068 words) - 14:33, 13 February 2019
  • How to get started with GIMPS
    ==Step 4==
    4 KB (623 words) - 13:39, 26 March 2019
  • GIMPS networking, PrimeNet and communication
    Packets: Sent = 4, Received = 4, Lost = 0 (0% loss),
    8 KB (1,269 words) - 10:09, 7 March 2019
  • Strong law of small numbers
    ...numbers. [[Double Mersenne number]]s are a good example of this. The first 4 terms yield primes, but factors for next four terms have been found (after
    1 KB (197 words) - 15:02, 11 February 2019
  • P+1 factorization method
    If we define <math>D = u^2 - 4</math>, then for any odd prime <math>p</math>, <math>p</math> divides both
    8 KB (1,536 words) - 11:35, 12 February 2019
  • SNFS polynomial selection
    ...lo ''N'', the number to be factored. Typically one polynomial is of degree 4, 5 or 6 (the algebraic side) and the other one is linear (the rational side 4. For <math>a^{11k}-1</math> and <math>a^{13k}-1</math> you'd get degrees 10
    7 KB (1,238 words) - 16:14, 12 February 2019
  • ECMclient
    4. Run ecmclient.exe and it should get some work and start working on it.
    2 KB (383 words) - 11:16, 26 February 2019
  • GMP-ECM
    ....1.tar.bz2 MPIR] and [https://gforge.inria.fr/frs/download.php/30965/ecm-6.4.3.tar.gz GMP-ECM] (don't unpack them, just place them on your desktop). 4. Time to open MSYS again. Inside MSYS you'll need to do as shown on this sc
    4 KB (567 words) - 10:54, 6 December 2019
  • Gerbicz error checking
    *in [[Prime95]] since version 29.4 ...ot hold, then we roll back to the last stored <math>u</math> value (value (4) above). If we roll back too much (e.g. 100 times to the same term), then w
    3 KB (528 words) - 14:59, 3 October 2023
  • History
    ...ng to [[Odd Magnar Strindmo]]; but the discovery goes unnoticed until June 4.
    3 KB (479 words) - 10:55, 7 March 2019
  • System requirements and compatible hardware
    :Windows NT (3 / 4 / 4 SP 1 / 4 SP 2 / 4 SP 3 / 4 SP 4 / 4 SP 5 / 4 SP 6) :Windows 2000 (SP 1 / SP 2 / SP 3 / SP 4)
    766 bytes (95 words) - 12:25, 19 February 2019
  • PrimeNet summary report
    ...[exponent]]s of the [[Mersenne number]]s by ranges. It is broken down into 4 sets of vertical columns. The exponents below {{Num|10000000}} are treated
    7 KB (1,072 words) - 13:10, 19 February 2019
  • Square number
    ...square integers is also a square number (e.g. 2/3&nbsp;&times;&nbsp;2/3 = 4/9). :2<sup>2</sup> = 4
    3 KB (408 words) - 13:56, 19 February 2019
  • Editing
    ==== Level 4 ==== ==== Level 4 ====
    5 KB (805 words) - 06:50, 1 May 2019
  • Riesel problem 1
    | 4 || 7 || {{Num|155274}} || {{Num|{{PAGESINCATEGORY:Riesel 2 1Intervals2|page ! scope="row" | [[:Category:Riesel 2 1Intervals4|4]]
    6 KB (689 words) - 18:14, 4 April 2024
  • Mersenne.ca
    ...most efficient type of work for their particular CPU. Multiple CPUs (up to 4) can be compared directly to show relative efficiency comparison on all wor
    9 KB (1,396 words) - 15:42, 25 February 2019
  • Aurifeuillian factor
    **<math>t\equiv 1 \pmod 4</math> and <math>n\equiv t \pmod{2t}</math> **<math>t\equiv 2, 3 \pmod 4</math> and <math>n\equiv 2t \pmod{4t}</math>
    10 KB (1,257 words) - 08:04, 24 June 2019
  • Carol-Kynea prime 4
    |CKBase=4
    389 bytes (47 words) - 10:31, 10 June 2019
  • Carol-Kynea prime
    ...integer. However these form a subset of another base’s primes (ex. Base 4 Carol/Kynea primes are Base 2 Carol/Kynea primes where <math>n \bmod 2 \equ
    8 KB (1,172 words) - 00:38, 6 July 2023
  • Multifactorial number
    :<math>n!! = (n) \cdot (n-2) \cdot (n-4) \cdots</math>
    560 bytes (81 words) - 14:36, 20 July 2021
  • Riesel prime 2 1
    2;T:ST;C:'''[[M1]]''', {{NWo|+|1}}, {{NWo|-|2}}, {{NWo|4|1}} 5;C:'''[[M3]]''', {{NWo|+|3}}, {{NWo|4|2}}, {{NWo|32|1}}
    2 KB (288 words) - 11:41, 3 April 2023
  • Riesel prime 2 3
    2;T:ST;C:{{NWo|+|2}}, {{NWi|MM|4|1}} 4;C:{{NWo|-|4}}, {{NWi|MM|4|2}}
    5 KB (523 words) - 09:47, 5 October 2023
  • Riesel prime 2 5
    4;C:{{NWo|+|4}}
    2 KB (196 words) - 18:36, 9 October 2021
  • Riesel prime 2 15
    4;T:ST
    2 KB (252 words) - 13:29, 5 May 2024
  • Riesel prime 2 2145
    4;T:S
    3 KB (329 words) - 07:59, 17 August 2021
  • Riesel prime 2 2805
    4;T:S
    2 KB (185 words) - 04:16, 5 May 2024
  • Carol-Kynea prime 50
    4 4
    490 bytes (45 words) - 12:30, 3 July 2019
  • Carol-Kynea prime 16
    |CKMaxn={{#expr:floor({{GP|Carol-Kynea prime 2|CKMaxn}}/4)}} |CKClist={{Reuse Primelist|Carol-Kynea prime 2|CKClist|4}}
    390 bytes (47 words) - 10:34, 10 June 2019
  • Williams prime MM 4
    |WiBase=4
    265 bytes (37 words) - 20:50, 31 July 2021
  • Williams prime PM 3
    |WiMaxn={{GP|Riesel prime 3 4|RMaxn}} |WiDate={{GP|Riesel prime 3 4|RDate}}
    248 bytes (35 words) - 13:40, 16 March 2023
  • Williams prime MM 16
    |WiMaxn={{#expr:floor({{GP|Riesel prime 2 15|RMaxn}}/4)}} |WiNlist={{Reuse Primelist|Riesel prime 2 15|RNlist|4}}
    270 bytes (37 words) - 20:56, 31 July 2021
  • Proth prime 2 1
    4;T:G
    212 bytes (30 words) - 15:35, 2 October 2022
  • GF Divisor 3 20909
    7,4,20908#1996#Anders Björn,Hans Riesel 11,4,20908#1996#Anders Björn,Hans Riesel
    656 bytes (73 words) - 21:56, 16 August 2021
  • Proth prime 2 7
    4;T:G
    2 KB (267 words) - 21:47, 5 July 2023
  • GF Divisor 9 6
    7,4,5#1996#Anders Björn,Hans Riesel 11,8,4#1996#Anders Björn,Hans Riesel
    264 bytes (33 words) - 17:56, 23 August 2021
  • GF Divisor 9 7
    11,4,5#1996#Anders Björn,Hans Riesel 11,6,4#1996#Anders Björn,Hans Riesel
    305 bytes (38 words) - 18:11, 23 August 2021
  • GF Divisor 9 11
    5,4,10#1996#Anders Björn,Hans Riesel
    157 bytes (18 words) - 18:14, 23 August 2021
  • Proth prime 2 15
    4;T:GT
    3 KB (390 words) - 10:00, 25 August 2021
  • Proth prime 2 1527888802614951
    4
    371 bytes (31 words) - 08:06, 18 September 2021
  • Woodall prime 6
    24;C:{{NRi|4|6|25}}
    593 bytes (52 words) - 10:32, 17 August 2023
  • Woodall prime 4
    |WoBase=4
    1 KB (122 words) - 17:00, 31 August 2021
  • Cullen prime 4
    |CuBase=4
    849 bytes (85 words) - 19:15, 14 July 2023
  • Carol-Kynea prime 34
    4
    520 bytes (48 words) - 12:21, 23 June 2021
  • Carol-Kynea prime 40
    4
    277 bytes (21 words) - 12:31, 1 July 2019
  • Carol-Kynea prime 42
    4
    882 bytes (79 words) - 08:41, 15 October 2021
  • Carol-Kynea prime 48
    4
    412 bytes (34 words) - 10:50, 16 April 2023
  • Proth prime 2 301
    4
    1 KB (103 words) - 12:07, 7 September 2021
  • Williams prime MP 3
    4
    2 KB (151 words) - 00:47, 25 May 2020
  • Williams prime MP 4
    |WiBase=4
    258 bytes (36 words) - 08:07, 1 August 2021
  • Williams prime MP 5
    |WiMaxn={{Reuse Primelist|Proth prime 5 4|PMaxn|1}} |WiDate={{GP|Proth prime 5 4|PDate}}
    260 bytes (36 words) - 08:29, 11 February 2023
  • Williams prime MP 7
    4
    225 bytes (20 words) - 08:23, 20 May 2019
  • Williams prime MP 10
    4
    1 KB (131 words) - 07:33, 23 April 2024
  • Williams prime MP 12
    4
    210 bytes (20 words) - 09:46, 20 May 2019
  • Williams prime PM 4
    |WiBase=4
    265 bytes (37 words) - 14:05, 1 August 2021
  • Williams prime PM 7
    4
    356 bytes (30 words) - 07:01, 21 April 2024
  • Williams prime PM 9
    4
    428 bytes (42 words) - 22:03, 20 April 2024
  • Williams prime PM 11
    4
    250 bytes (17 words) - 11:02, 23 May 2019
  • Williams prime MP 13
    4
    439 bytes (38 words) - 16:04, 29 September 2020
  • Williams prime MP 15
    4
    290 bytes (23 words) - 19:22, 30 September 2020
  • Williams prime MP 16
    |WiMaxn={{#expr:floor({{GP|Proth prime 2 15|PMaxn}}/4)}} |WiNlist={{Reuse Primelist|Proth prime 2 15|PNlist|4}}
    267 bytes (37 words) - 08:22, 1 August 2021
  • Williams prime MP 17
    4
    397 bytes (41 words) - 08:25, 1 August 2021
  • Williams prime MP 21
    4
    313 bytes (23 words) - 18:30, 19 November 2020
  • Williams prime MP 24
    4
    237 bytes (18 words) - 13:11, 22 May 2019
  • Williams prime MP 29
    4
    198 bytes (18 words) - 13:35, 22 May 2019
  • Williams prime MP 30
    4
    229 bytes (18 words) - 13:37, 22 May 2019
  • Williams prime MP 71
    4
    198 bytes (18 words) - 14:00, 22 May 2019
  • Williams prime MP 83
    4
    201 bytes (18 words) - 14:03, 22 May 2019
  • Williams prime MP 107
    4
    182 bytes (18 words) - 14:13, 22 May 2019
  • Williams prime MP 113
    4
    208 bytes (18 words) - 14:15, 22 May 2019
  • Williams prime PM 13
    4
    221 bytes (17 words) - 11:11, 23 May 2019
  • Riesel prime 2 17
    4
    2 KB (174 words) - 18:41, 5 May 2024
  • Williams prime PM 16
    |WiMaxn={{#expr:floor({{GP|Riesel prime 2 17|RMaxn}}/4)}} |WiNlist={{Reuse Primelist|Riesel prime 2 17|RNlist|4}}
    363 bytes (46 words) - 14:14, 1 August 2021
  • Williams prime PM 17
    4
    252 bytes (18 words) - 12:44, 23 May 2019
  • Williams prime PM 18
    4
    218 bytes (18 words) - 12:46, 23 May 2019
  • Williams prime PM 26
    4
    209 bytes (18 words) - 13:21, 23 May 2019
  • Williams prime PM 27
    4
    277 bytes (26 words) - 13:23, 23 May 2019
  • Williams prime PM 29
    4
    229 bytes (18 words) - 13:27, 23 May 2019
  • Williams prime PM 31
    4
    237 bytes (18 words) - 13:30, 23 May 2019
  • Williams prime PM 38
    4
    232 bytes (18 words) - 14:14, 23 May 2019
  • Williams prime PM 93
    4
    203 bytes (18 words) - 14:20, 23 May 2019
  • Williams prime PM 107
    4
    197 bytes (18 words) - 14:22, 23 May 2019
  • Williams prime PP 3
    |WiMaxn={{GP|Proth prime 3 4|PMaxn}} |WiDate={{GP|Proth prime 3 4|PDate}}
    293 bytes (41 words) - 11:57, 13 July 2021
  • Carol-Kynea prime 68
    4
    230 bytes (19 words) - 09:00, 13 July 2019
  • Carol-Kynea prime 84
    4
    233 bytes (19 words) - 08:54, 13 July 2019
  • Carol-Kynea prime 92
    4
    229 bytes (19 words) - 08:56, 13 July 2019
  • Carol-Kynea prime 98
    4
    231 bytes (19 words) - 08:50, 13 July 2019
  • Riesel prime small bases least n
    {{HistF|2021-06-02|&nbsp;{{Kbn|4|650|498101}}|Predrag Kurtovic|579849}} {{HistF|2020-05-25|&nbsp;{{Kbn|4|303|198357}}|Karsten Bonath|546393}}
    6 KB (684 words) - 09:40, 17 March 2024
  • Proth prime small bases least n
    {{HistF|2019-09-23|&nbsp;{{T5000|129949|{{Kbn|+|4|789|149139}}}}|(whizbang)|526400}} ==={{Vk}} = 4===
    7 KB (795 words) - 08:03, 5 May 2024
  • Carol-Kynea prime 118
    4
    262 bytes (23 words) - 08:57, 13 July 2019
  • Williams prime PM 33
    4
    203 bytes (18 words) - 23:05, 17 June 2019
  • Williams prime PM 34
    4
    224 bytes (18 words) - 23:07, 17 June 2019
  • Williams prime PM 39
    4
    245 bytes (18 words) - 23:14, 17 June 2019
  • Williams prime PM 40
    4
    204 bytes (18 words) - 23:16, 17 June 2019
  • Williams prime PM 43
    4
    187 bytes (18 words) - 23:19, 17 June 2019
  • Williams prime PM 47
    4
    207 bytes (18 words) - 23:23, 17 June 2019
  • Williams prime PM 50
    4
    220 bytes (18 words) - 23:27, 17 June 2019
  • Williams prime PM 57
    4
    218 bytes (18 words) - 23:36, 17 June 2019
  • Williams prime PM 59
    4
    221 bytes (18 words) - 23:38, 17 June 2019
  • Riesel prime 2 65
    |RMultiRes=4 4
    2 KB (222 words) - 06:13, 9 May 2024
  • Williams prime MP 33
    4
    219 bytes (18 words) - 12:18, 18 June 2019
  • Williams prime MP 34
    4
    210 bytes (18 words) - 12:20, 18 June 2019
  • Williams prime MP 39
    4
    194 bytes (18 words) - 12:19, 18 June 2019
  • Williams prime MP 40
    4
    227 bytes (18 words) - 12:20, 18 June 2019
  • Williams prime MP 42
    4
    202 bytes (18 words) - 12:21, 18 June 2019
  • Williams prime MP 44
    4
    211 bytes (18 words) - 12:20, 18 June 2019
  • Williams prime MP 56
    4
    200 bytes (18 words) - 12:23, 18 June 2019
  • Williams prime MP 63
    4
    201 bytes (18 words) - 12:29, 18 June 2019
  • Proth prime 2 63
    4;T:G
    2 KB (279 words) - 19:01, 9 April 2023
  • Riesel prime 2 129
    4;T:S
    2 KB (178 words) - 05:51, 9 May 2024
  • Riesel prime 2 257
    4 {{HistC|2006-12-16|600000|RPS Drive 4|94175}}, released
    1 KB (126 words) - 03:35, 6 May 2024
  • Proth prime 2 1023
    4
    3 KB (289 words) - 10:52, 21 September 2021
  • Proth prime 2 513
    4
    2 KB (177 words) - 09:40, 7 September 2021
  • Carol-Kynea prime 134
    4
    405 bytes (34 words) - 13:37, 30 May 2020
  • Carol-Kynea prime 140
    4
    419 bytes (34 words) - 13:42, 30 May 2020
  • Carol-Kynea prime 148
    4
    219 bytes (18 words) - 08:48, 13 July 2019
  • Carol-Kynea prime 150
    4
    199 bytes (18 words) - 08:46, 13 July 2019
  • Carol-Kynea prime 160
    4
    273 bytes (23 words) - 11:02, 20 May 2021
  • Carol-Kynea prime 178
    4
    269 bytes (23 words) - 08:59, 13 July 2019
  • Carol-Kynea prime 190
    4
    212 bytes (18 words) - 08:49, 13 July 2019
  • Carol-Kynea prime 242
    4
    213 bytes (18 words) - 09:12, 3 July 2019
  • Carol-Kynea prime 246
    4
    241 bytes (18 words) - 09:53, 3 July 2019
  • Carol-Kynea prime 250
    4
    192 bytes (18 words) - 09:56, 3 July 2019
  • Carol-Kynea prime 360
    4
    212 bytes (18 words) - 11:41, 3 July 2019
  • Carol-Kynea prime 274
    4
    227 bytes (18 words) - 07:24, 4 July 2019
  • Carol-Kynea prime 280
    4
    202 bytes (18 words) - 07:29, 4 July 2019
  • Carol-Kynea prime 302
    4
    222 bytes (18 words) - 07:54, 4 July 2019
  • Carol-Kynea prime 308
    4
    207 bytes (18 words) - 07:58, 4 July 2019
  • Carol-Kynea prime 318
    4
    187 bytes (18 words) - 08:17, 4 July 2019
  • Carol-Kynea prime 320
    4
    194 bytes (18 words) - 08:18, 4 July 2019
  • Carol-Kynea prime 364
    4
    191 bytes (18 words) - 08:45, 4 July 2019
  • Carol-Kynea prime 500
    4
    198 bytes (18 words) - 09:05, 4 July 2019
  • Carol-Kynea prime 942
    4
    233 bytes (23 words) - 02:41, 20 July 2019
  • Carol-Kynea prime 698
    4
    231 bytes (23 words) - 19:21, 31 July 2019
  • Carol-Kynea prime 772
    4
    231 bytes (23 words) - 17:10, 3 August 2019
  • Carol-Kynea prime 1218
    4
    285 bytes (28 words) - 00:26, 20 May 2021
  • Carol-Kynea prime 2064
    4
    340 bytes (33 words) - 00:02, 20 May 2021
  • Carol-Kynea prime 2298
    4
    274 bytes (28 words) - 08:46, 20 May 2021
  • Carol-Kynea prime 2994
    4
    276 bytes (28 words) - 10:28, 20 May 2021
  • Carol-Kynea prime 1690
    4
    272 bytes (28 words) - 23:44, 19 May 2021
  • Carol-Kynea prime 1774
    4
    337 bytes (33 words) - 23:50, 19 May 2021
  • Carol-Kynea prime 2290
    4
    331 bytes (33 words) - 08:45, 20 May 2021
  • Carol-Kynea prime 2384
    4
    341 bytes (33 words) - 08:59, 20 May 2021
  • Carol-Kynea prime 2398
    4
    331 bytes (33 words) - 09:00, 20 May 2021
  • Riesel prime 2 197673
    4 790695;96310;C:{{NWo|-|790693}}, {{NWo|-|4|395347}}
    713 bytes (46 words) - 08:03, 25 January 2024
  • Riesel prime 2 1066065
    4;T:S
    625 bytes (37 words) - 00:17, 17 July 2021
  • Leyland prime M 3 4
    |LeY=4
    147 bytes (15 words) - 19:41, 23 July 2019
  • Riesel prime 2 1268979
    4;T:S
    823 bytes (62 words) - 08:12, 25 January 2024
  • Leyland number
    ...1050 || || ~ 700 - 2800 || [[Paul Leyland]] || 2001-06-04 || 2001-06-04 || 4 ...x-1 || || [[Norbert Schneider]] || ? || {{HistLink|2014-05-26|379199}} || 4
    8 KB (906 words) - 09:59, 5 January 2023
  • Saouter number
    <math>A_n = 4^{3^n}+2^{3^n}+1</math>
    869 bytes (128 words) - 07:02, 15 August 2019
  • Riesel prime 2 36739
    587827;89940;C:{{NWo|+|587823}}, {{NWo|4|293912}}
    413 bytes (32 words) - 20:34, 31 July 2021
  • Riesel prime 2 39787
    159149;1152;C:{{NWo|+|159147}}, {{NWo|4|79574}}
    334 bytes (25 words) - 20:36, 31 July 2021
  • Riesel prime 2 56785
    227141;356;C:{{NWo|+|227139}}, {{NWo|4|113570}}
    409 bytes (32 words) - 10:50, 21 July 2021
  • Riesel prime 2 586085
    4
    476 bytes (42 words) - 08:08, 25 January 2024
  • Woodall prime P 2 table
    | 3 || 3 || 2 || {{Kbn|4|3}} || [[Riesel prime 2 1|{{Kbn|5}}]] || n.n. || n.n. | 4 || 4 || 2 || {{Kbn|5|4}} || [[Riesel prime 2 5|{{Kbn|5|4}}]] || n.n. || n.n.
    4 KB (327 words) - 16:31, 31 August 2021
  • Riesel prime 2 28835
    4
    304 bytes (26 words) - 12:03, 31 July 2021
  • Riesel prime 2 20747
    41494;15177;C:{{NWo|4|20747}}, {{NWo|+|41493}}
    329 bytes (27 words) - 06:51, 31 July 2021
  • Riesel prime 2 20057
    4
    693 bytes (75 words) - 06:47, 31 July 2021
  • Riesel prime 2 10673
    4
    405 bytes (32 words) - 14:20, 21 July 2021
  • Woodall prime P 2
    1;C:{{NRi|2}}, {{NWo|4|1}} 3;C:{{NRi|5}}, {{NWo|4|2}}
    2 KB (193 words) - 16:31, 31 August 2021
  • Woodall prime M 2
    4;C:{{NRi|3|4}} 5;C:{{NRi|7}}, {{NWo|-|4|3}}
    2 KB (176 words) - 16:52, 31 August 2021
  • Woodall prime M 2 table
    | 2 || 4 || 2 || {{Kbn|3|4}} || [[Riesel prime 2 3|{{Kbn|3|4}}]] || n.n. || n.n. ...4|5}} || [[Riesel prime 2 1|{{Kbn|7}}]]<ref>Mersenne prime [[M3]], {{NWo|-|4|3}}</ref> || n.n. || n.n.
    3 KB (313 words) - 16:51, 31 August 2021
  • Riesel prime 2 23
    4
    972 bytes (97 words) - 22:13, 18 October 2021
  • Riesel prime 2 27
    4;T:ST
    3 KB (341 words) - 08:00, 12 April 2023
  • Riesel prime 2 29
    4
    1 KB (105 words) - 23:07, 22 November 2021
  • Riesel prime 2 35
    |RMultiRes=4
    2 KB (238 words) - 13:33, 5 May 2024
  • Riesel prime 2 37
    |RMultiRes=4
    2 KB (188 words) - 13:33, 5 May 2024
  • Riesel prime 2 45
    4;T:S
    3 KB (310 words) - 19:32, 19 July 2023
  • Riesel prime 2 47
    |RMultiRes=4 4
    1 KB (111 words) - 13:33, 5 May 2024
  • Riesel prime 2 53
    |RMultiRes=4
    1 KB (133 words) - 13:33, 5 May 2024
  • Riesel prime 2 57
    |RMultiRes=4 4;T:S
    2 KB (217 words) - 13:33, 5 May 2024
  • Riesel prime 2 61
    |RMultiRes=4
    2 KB (201 words) - 13:33, 5 May 2024
  • Riesel prime 2 69
    4;T:S
    4 KB (392 words) - 13:33, 5 May 2024
  • Riesel prime 2 77
    4
    2 KB (179 words) - 10:44, 26 April 2024
  • Riesel prime 2 83
    4
    3 KB (272 words) - 20:45, 26 February 2024
  • Riesel prime 2 87
    |RMultiRes=4
    3 KB (279 words) - 13:33, 5 May 2024
  • Riesel prime 2 89
    4
    2 KB (187 words) - 12:37, 15 July 2021
  • Riesel prime 2 91
    {{HistC|2006-12-16|600000|RPS Drive 4|94175}}, released {{HistF|2006-11-02|563469|Predrag Minovic, RPS Drive 4|90548}}
    2 KB (208 words) - 06:58, 24 April 2024
  • Riesel prime 2 93
    4;T:T
    3 KB (249 words) - 23:57, 23 April 2024
  • Riesel prime 2 99
    4;T:S
    3 KB (266 words) - 19:34, 19 July 2023
  • Riesel prime 2 103
    |RMultiRes=4
    2 KB (222 words) - 13:33, 5 May 2024
  • Riesel prime 2 111
    |RMultiRes=4
    4 KB (361 words) - 04:54, 9 May 2024
  • Riesel prime 2 115
    {{HistC|2008-10-22|1000000|NPLB Drive 4|146146}}, released {{HistR|2008-09-09|NPLB Drive 4|141506}}
    1 KB (129 words) - 02:45, 9 May 2024
  • Riesel prime 2 117
    4;T:T
    2 KB (218 words) - 03:45, 9 May 2024
  • Riesel prime 2 125
    4 4004;46892;C:{{NWo|+|3999}},{{NWo|4|2000}}
    2 KB (154 words) - 08:50, 19 July 2021
  • Riesel prime 2 143
    4
    1 KB (115 words) - 13:45, 5 May 2024
  • Riesel prime 2 147
    4;T:S
    2 KB (177 words) - 13:45, 5 May 2024
  • Riesel prime 2 149
    4 {{HistC|2008-10-22|1000000|NPLB Drive 4|146146}}, released
    1 KB (108 words) - 13:45, 5 May 2024
  • Riesel prime 2 153
    4
    1 KB (135 words) - 13:45, 5 May 2024
  • Riesel prime 2 11655
    4;T:ST
    2 KB (127 words) - 11:36, 27 April 2024
  • Riesel prime 2 12753
    4
    1 KB (85 words) - 07:39, 21 July 2021
  • Riesel prime 2 13065
    4;T:S
    978 bytes (72 words) - 07:40, 21 July 2021
  • Riesel prime 2 10963
    |RCount=4
    462 bytes (48 words) - 08:01, 10 April 2024
  • Riesel prime 2 11953
    |RCount=4
    397 bytes (41 words) - 08:38, 10 April 2024
  • Riesel prime 2 12191
    |RCount=4
    394 bytes (41 words) - 08:42, 10 April 2024
  • Riesel prime 2 13297
    |RCount=4
    398 bytes (41 words) - 08:48, 10 April 2024
  • Riesel prime 2 13511
    |RCount=4
    434 bytes (44 words) - 09:00, 10 April 2024
  • Riesel prime 2 14639
    |RCount=4
    463 bytes (48 words) - 09:57, 10 April 2024
  • Riesel prime 2 159
    4;T:S
    1 KB (112 words) - 13:45, 5 May 2024
  • Riesel prime 2 167
    4
    2 KB (154 words) - 19:37, 19 July 2023
  • Riesel prime 2 173
    4
    1 KB (102 words) - 13:45, 5 May 2024
  • Riesel prime 2 175
    {{HistC|2008-10-22|1000000|NPLB Drive 4|146146}}, released {{HistR|2008-09-09|NPLB Drive 4|141506}}
    1 KB (118 words) - 13:45, 5 May 2024
  • Riesel prime 2 179
    {{HistC|2008-10-22|1000000|NPLB Drive 4|146146}}, released {{HistR|2008-09-09|NPLB Drive 4|141506}}
    1 KB (106 words) - 13:45, 5 May 2024
  • Riesel prime 2 183
    4
    1 KB (96 words) - 13:45, 5 May 2024
  • Riesel prime 2 185
    {{HistC|2008-10-22|1000000|NPLB Drive 4|146146}}, released {{HistF|2008-09-11|612412|Carlos Eduardo Pinho, NPLB Drive 4|142074}}
    1 KB (113 words) - 13:46, 5 May 2024
  • Riesel prime 2 189
    4;T:S
    2 KB (191 words) - 13:45, 5 May 2024
  • Riesel prime 2 195
    4;T:T
    3 KB (302 words) - 15:26, 1 November 2023
  • Riesel prime 2 199
    {{HistC|2008-10-22|1000000|NPLB Drive 4|146146}}, released {{HistR|2008-09-09|NPLB Drive 4|141506}}
    2 KB (184 words) - 04:47, 17 April 2024
  • Riesel prime 2 203
    {{HistC|2006-12-16|600000|RPS Drive 4|94175}}, released {{HistF|2006-09-08|480918|Thomas Ritschel, RPS Drive 4|86591}}
    1 KB (125 words) - 03:29, 6 May 2024
  • Riesel prime 2 205
    {{HistC|2006-12-16|600000|RPS Drive 4|94175}}, released {{HistF|2006-09-01|462261|David Metcalfe, RPS Drive 4|86079}}
    1 KB (140 words) - 03:31, 6 May 2024
  • Riesel prime 2 209
    4
    2 KB (160 words) - 00:58, 2 May 2024
  • Riesel prime 2 213
    4
    2 KB (216 words) - 08:23, 26 April 2024
  • Riesel prime 2 215
    {{HistC|2008-10-22|1000000|NPLB Drive 4|146146}}, released {{HistF|2008-09-20|714542|Gary Barnes, NPLB Drive 4|143304}}
    1 KB (133 words) - 05:02, 17 April 2024
  • Riesel prime 2 227
    4 {{HistC|2008-10-22|1000000|NPLB Drive 4|146146}}, released
    1 KB (136 words) - 03:33, 6 May 2024
  • Riesel prime 2 229
    {{HistC|2008-10-22|1000000|NPLB Drive 4|146146}}, released {{HistR|2008-09-09|NPLB Drive 4|141506}}
    2 KB (163 words) - 23:58, 23 April 2024
  • Riesel prime 2 233
    4
    2 KB (188 words) - 23:28, 22 November 2021
  • Riesel prime 2 239
    4 {{HistC|2008-10-22|1000000|NPLB Drive 4|146146}}, released
    1 KB (112 words) - 05:10, 17 April 2024
  • Riesel prime 2 241
    {{HistC|2008-10-22|1000000|NPLB Drive 4|146146}}, released {{HistR|2008-09-09|NPLB Drive 4|141506}}
    1 KB (136 words) - 05:15, 17 April 2024
  • Riesel prime 2 245
    4
    1 KB (136 words) - 09:01, 19 July 2021
  • Riesel prime 2 255
    4
    3 KB (271 words) - 05:04, 24 April 2024
  • Riesel prime 2 259
    {{HistC|2006-12-16|600000|RPS Drive 4|94175}}, released {{HistF|2006-08-28|427623|Thomas Ritschel, RPS Drive 4|85727}}
    1 KB (142 words) - 03:36, 6 May 2024
  • Riesel prime 2 263
    {{HistC|2006-12-16|600000|RPS Drive 4|94175}}, released {{HistR|2006-07-28|RPS Drive 4|84215}}, for {{Vn}} = 260000 - 600000
    2 KB (219 words) - 04:16, 3 May 2024
  • Riesel prime 2 265
    {{HistC|2008-10-22|1000000|NPLB Drive 4|146146}}, released {{HistF|2008-10-09|856293|Gary Barnes, NPLB Drive 4|144976}}
    1 KB (123 words) - 05:21, 17 April 2024
  • Riesel prime 2 267
    4;T:ST
    2 KB (206 words) - 04:42, 3 May 2024
  • Riesel prime 2 271
    {{HistC|2008-10-22|1000000|NPLB Drive 4|146146}}, released {{HistF|2008-09-26|786059|Max Dettweiler, NPLB Drive 4|143867}}
    1 KB (143 words) - 00:07, 24 April 2024
  • Riesel prime 2 275
    {{HistC|2006-12-16|600000|RPS Drive 4|94175}}, released {{HistF|2006-08-21|398928|Thomas Ritschel, RPS Drive 4|85350}}
    1 KB (107 words) - 03:38, 6 May 2024
  • Riesel prime 2 279
    4
    2 KB (212 words) - 05:16, 3 May 2024
  • Riesel prime 2 281
    {{HistC|2006-12-16|600000|RPS Drive 4|94175}}, released {{HistR|2006-07-28|RPS Drive 4|84215}}, for {{Vn}} = 260000 - 600000
    2 KB (190 words) - 08:59, 9 May 2024
  • Riesel prime 2 287
    4 {{HistC|2006-12-16|600000|RPS Drive 4|94175}}, released
    1 KB (103 words) - 18:47, 7 May 2024
  • Riesel prime 2 289
    {{HistC|2008-10-22|680000|NPLB Drive 4|146146}}, released {{HistR|2008-09-09|NPLB Drive 4|141506}}
    2 KB (168 words) - 23:10, 1 May 2024
  • Riesel prime 2 293
    {{HistC|2008-10-22|1000000|NPLB Drive 4|146146}}, released {{HistR|2008-09-09|NPLB Drive 4|141506}}
    2 KB (160 words) - 18:09, 4 May 2024
  • Riesel prime 2 295
    {{HistC|2006-12-16|600000|RPS Drive 4|94175}}, released {{HistF|2006-08-18|389903|David Metcalfe, RPS Drive 4|85238}}
    1 KB (114 words) - 03:42, 6 May 2024
  • Riesel prime 2 297
    4
    3 KB (283 words) - 18:44, 4 May 2024
  • Riesel prime 2 299
    4 {{HistC|2006-12-16|600000|RPS Drive 4|94175}}, released
    2 KB (209 words) - 18:56, 4 May 2024
  • Riesel prime 2 80857169
    4
    284 bytes (25 words) - 07:26, 21 August 2021
  • Woodall prime 49
    2;C:{{NRi|2|7|4}}
    324 bytes (30 words) - 12:26, 12 April 2023
  • TOPS
    :(4) Cunningham chains and Sophie Germain primes.
    851 bytes (109 words) - 23:37, 25 February 2020
  • Riesel prime 2 19259
    |RCount=4
    464 bytes (49 words) - 14:29, 10 April 2024
  • Riesel prime 2 21869
    4
    540 bytes (55 words) - 19:32, 11 April 2024
  • Riesel prime 2 1759
    7039;C:{{NWo|-|7037}}, {{NWo|-|4|3519}}
    563 bytes (45 words) - 19:35, 30 August 2021
  • Riesel prime 2 50879
    4
    348 bytes (30 words) - 17:10, 18 July 2021
  • Riesel prime 2 62985
    4
    832 bytes (47 words) - 04:41, 2 August 2021
  • RPS Megabit Drive 1
    ...max</sub> = {{Num|{{Multi Reservation:4-NMax}}}} as of {{Multi Reservation:4-Date}}.
    4 KB (439 words) - 10:45, 9 May 2024
  • Riesel prime 2 100177
    |RCount=4
    199 bytes (19 words) - 07:03, 19 July 2021
  • Riesel prime 2 100307
    |RCount=4
    269 bytes (32 words) - 21:08, 17 December 2023
  • Riesel prime 2 323895
    4;T:S
    906 bytes (61 words) - 02:38, 1 August 2021
  • Riesel prime 2 409695
    4
    810 bytes (52 words) - 08:21, 1 August 2021
  • Riesel prime 2 231785
    4
    326 bytes (24 words) - 07:11, 31 July 2021
  • Riesel prime 2 1494299
    |RCount=4
    374 bytes (39 words) - 03:42, 26 July 2021
  • Riesel prime 2 5075265
    4;T:S
    505 bytes (42 words) - 17:12, 18 July 2021
  • Riesel prime 2 14549535
    4;T:ST
    1 KB (104 words) - 15:47, 25 July 2021
  • Riesel prime 2 16545165
    4;T:T
    471 bytes (37 words) - 09:28, 29 July 2021
  • Riesel prime 2 17179515
    4;T:S
    635 bytes (43 words) - 15:55, 25 July 2021
  • Riesel prime 2 911111523
    4
    365 bytes (28 words) - 04:58, 1 August 2021
  • Wilfrid Keller
    |Top5000=4 Keller
    227 bytes (30 words) - 11:22, 2 May 2023
  • Riesel prime 2 4017
    4
    832 bytes (59 words) - 13:59, 27 July 2021
  • Riesel prime 2 4019
    4
    458 bytes (42 words) - 22:47, 16 April 2024
  • Riesel prime 2 10079
    4
    472 bytes (50 words) - 07:12, 19 July 2021
  • Riesel prime 2 4025
    4
    1,020 bytes (76 words) - 14:01, 27 July 2021
  • Riesel prime 2 4037
    4
    1,011 bytes (76 words) - 14:04, 27 July 2021
  • Riesel prime 2 4049
    4
    700 bytes (56 words) - 14:13, 27 July 2021
  • Riesel prime 2 4055
    4
    550 bytes (42 words) - 22:50, 16 April 2024
  • Riesel prime 2 4067
    4
    740 bytes (56 words) - 20:38, 2 August 2021
  • Riesel prime 2 4073
    4
    736 bytes (56 words) - 20:40, 2 August 2021
  • Riesel prime 2 4083
    4
    620 bytes (46 words) - 20:42, 2 August 2021
  • Riesel prime 2 4089
    4
    1 KB (102 words) - 20:43, 2 August 2021
  • Riesel prime 2 4095
    4;T:T
    1 KB (81 words) - 20:44, 2 August 2021
  • Riesel prime 2 4097
    4
    635 bytes (46 words) - 20:45, 2 August 2021
  • Riesel prime 2 4103
    4
    771 bytes (56 words) - 20:59, 2 August 2021
  • Riesel prime 2 4115
    4
    626 bytes (51 words) - 21:01, 2 August 2021
  • Riesel prime 2 4137
    4;T:S
    1 KB (84 words) - 21:06, 2 August 2021
  • Riesel prime 2 4149
    4
    778 bytes (58 words) - 21:09, 2 August 2021
  • Riesel prime 2 4179
    4
    994 bytes (71 words) - 21:16, 2 August 2021
  • Riesel prime 2 4185
    4;T:S
    1 KB (90 words) - 09:48, 10 August 2021
  • Riesel prime 2 3382599
    4
    763 bytes (52 words) - 02:50, 1 August 2021
  • Riesel prime 2 333645655005
    4;T:S
    612 bytes (48 words) - 02:46, 1 August 2021
  • Riesel prime 2 8506028064897
    4
    511 bytes (40 words) - 05:32, 1 August 2021
  • Riesel prime 2 17643045
    ...0|(Dietz)}}, erroneously submitted as "Cunningham chain, first kind length 4", was deleted
    554 bytes (34 words) - 15:56, 25 July 2021
  • Riesel prime 2 351
    {{HistC|2009-09-30|1000000|NPLB Mini Drive 4|130575}}, released {{HistR|2009-08-12|NPLB Mini Drive 4|185098}}, for 900000<{{Vn}}<1000000
    2 KB (206 words) - 05:28, 8 March 2023
  • Riesel prime 2 309
    4;T:S
    3 KB (354 words) - 08:26, 25 August 2023
  • Riesel prime 2 315
    4;T:S
    2 KB (208 words) - 11:06, 20 March 2023
  • Riesel prime 2 323
    4
    2 KB (177 words) - 05:43, 8 March 2023
  • Riesel prime 2 327
    4;T:ST
    2 KB (175 words) - 23:15, 28 March 2023
  • Riesel prime 2 345
    4;T:T
    1 KB (150 words) - 06:00, 8 March 2023
  • Riesel prime 2 355
    {{HistR|2009-08-12|NPLB Mini Drive 4|185098}}, for 900000<{{Vn}}<1000000 {{HistR|2009-06-18|NPLB Mini Drive 4|177986}}, for 800000<{{Vn}}<900000
    2 KB (205 words) - 06:03, 8 March 2023
  • Riesel prime 2 357
    4;T:S {{HistR|2009-08-12|NPLB Mini Drive 4|185098}}, for 900000<{{Vn}}<1000000
    3 KB (317 words) - 11:37, 3 April 2023
  • Riesel prime 2 359
    4
    1 KB (116 words) - 06:04, 8 March 2023
  • Riesel prime 2 361
    {{HistR|2009-08-12|NPLB Mini Drive 4|185098}}, for 900000<{{Vn}}<1000000 {{HistR|2009-06-18|NPLB Mini Drive 4|177986}}, for 800000<{{Vn}}<900000
    2 KB (181 words) - 10:58, 28 May 2023
  • Riesel prime 2 365
    4 {{HistR|2009-06-18|NPLB Mini Drive 4|177986}}, for 800000<{{Vn}}<900000
    2 KB (200 words) - 06:05, 8 March 2023
  • Riesel prime 2 369
    4;T:S
    3 KB (260 words) - 06:07, 8 March 2023
  • Riesel prime 2 353
    4
    2 KB (211 words) - 06:02, 8 March 2023
  • Riesel prime 2 363
    4 {{HistR|2009-08-12|NPLB Mini Drive 4|185098}}, for 900000<{{Vn}}<1000000
    3 KB (273 words) - 06:05, 8 March 2023
  • Riesel prime 2 393
    4
    2 KB (156 words) - 06:13, 8 March 2023
  • Riesel prime 2 413
    4
    2 KB (155 words) - 14:33, 10 July 2023
  • Riesel prime 2 419
    4
    999 bytes (94 words) - 05:02, 19 May 2023
  • Riesel prime 2 429
    4
    2 KB (149 words) - 05:42, 3 July 2023
  • Riesel prime 2 435
    4;T:T
    1 KB (131 words) - 13:50, 5 October 2022
  • Riesel prime 2 437
    4
    1 KB (119 words) - 20:59, 13 August 2022
  • Riesel prime 2 447
    4;T:S
    2 KB (169 words) - 02:25, 5 March 2023
  • Riesel prime 2 453
    4
    2 KB (158 words) - 20:30, 15 May 2023
  • Riesel prime 2 483
    4
    2 KB (160 words) - 14:34, 10 July 2023
  • Riesel prime 2 485
    4
    869 bytes (80 words) - 21:15, 13 August 2022
  • Riesel prime 2 489
    4;T:S
    2 KB (180 words) - 18:24, 12 June 2023
  • Riesel prime 2 495
    4
    2 KB (184 words) - 19:31, 7 March 2024
  • Riesel prime 2 497
    4
    1 KB (100 words) - 21:18, 13 August 2022
  • Riesel prime 2 507
    4;T:S
    2 KB (207 words) - 06:12, 17 January 2023
  • Riesel prime 2 527
    4
    2 KB (132 words) - 13:08, 4 July 2023
  • Riesel prime 2 533
    4
    1 KB (90 words) - 21:27, 13 August 2022
  • Riesel prime 2 539
    4
    1 KB (100 words) - 07:51, 1 June 2023
  • Riesel prime 2 545
    4
    1 KB (131 words) - 05:04, 4 October 2023
  • Riesel prime 2 549
    4
    2 KB (162 words) - 21:30, 13 August 2022
  • Riesel prime 2 563
    4
    2 KB (168 words) - 21:33, 13 August 2022
  • Riesel prime 2 569
    4
    1,008 bytes (92 words) - 10:00, 21 August 2022
  • Riesel prime 2 575
    4
    929 bytes (85 words) - 21:35, 13 August 2022
  • Riesel prime 2 587
    4
    1 KB (107 words) - 07:09, 29 November 2022
  • Riesel prime 2 597
    4
    1 KB (113 words) - 21:39, 13 August 2022
  • Riesel prime 2 25559
    4
    402 bytes (41 words) - 19:19, 10 April 2024
  • Riesel prime 2 605
    4
    1 KB (103 words) - 14:55, 23 January 2023
  • Riesel prime 2 609
    4
    2 KB (171 words) - 14:56, 23 January 2023
  • Riesel prime 2 615
    4
    2 KB (191 words) - 03:07, 26 March 2023
  • Riesel prime 2 617
    4
    1 KB (126 words) - 09:43, 19 February 2023
  • Riesel prime 2 100087
    |RCount=4
    561 bytes (69 words) - 00:30, 17 July 2021
  • Riesel prime 2 623
    4
    1 KB (123 words) - 00:42, 27 February 2023
  • Riesel prime 2 635
    4
    1 KB (118 words) - 07:52, 1 March 2023
  • Riesel prime 2 639
    4
    1 KB (135 words) - 09:33, 23 March 2023
  • Riesel prime 2 663
    4
    2 KB (169 words) - 13:55, 10 March 2023
  • Riesel prime 2 665
    4
    2 KB (134 words) - 13:55, 10 March 2023
  • Riesel prime 2 675
    4;T:S
    3 KB (242 words) - 00:13, 3 January 2024
  • Riesel prime 2 677
    4
    1 KB (126 words) - 13:58, 10 March 2023
  • Riesel prime 2 693
    4
    2 KB (146 words) - 14:00, 10 March 2023
  • Riesel prime 2 695
    4
    1 KB (124 words) - 14:00, 10 March 2023
  • Riesel prime 2 705
    4
    2 KB (173 words) - 04:45, 14 March 2023
  • Riesel prime 2 707
    4
    1 KB (124 words) - 04:45, 14 March 2023
  • Riesel prime 2 717
    4;T:S
    2 KB (179 words) - 01:10, 15 March 2024
  • Riesel prime 2 719
    4
    977 bytes (88 words) - 04:49, 14 March 2023
  • Riesel prime 2 743
    4
    1 KB (101 words) - 04:59, 14 March 2023
  • Riesel prime 2 759
    4
    2 KB (173 words) - 05:15, 14 March 2023
  • Riesel prime 2 765
    4;T:T
    2 KB (150 words) - 09:52, 28 March 2023
  • Riesel prime 2 779
    |RCount=4
    836 bytes (84 words) - 05:20, 14 March 2023
  • Riesel prime 2 783
    4
    2 KB (130 words) - 05:21, 14 March 2023
  • Riesel prime 2 1068669447
    4;T:T
    634 bytes (39 words) - 10:04, 22 July 2021
  • GF Divisor 801 5
    11,5,4#1996#Anders Björn,Hans Riesel
    121 bytes (13 words) - 11:16, 17 September 2021
  • Riesel prime 2 1055
    4
    2 KB (243 words) - 08:19, 22 July 2021
  • Riesel prime 2 10005
    4;T:T
    979 bytes (92 words) - 06:59, 19 July 2021
  • NPLB Drive 4
    This is team drive #4 for [[No Prime Left Behind]]. This searched the following {{Vk}}'s for {{Vn [[Category:No Prime Left Behind|Drive 4]]
    488 bytes (56 words) - 11:48, 5 September 2021
  • Riesel prime 2 18543637900515
    4
    937 bytes (82 words) - 15:58, 25 July 2021
  • Riesel prime 5 2
    4
    643 bytes (66 words) - 08:16, 16 July 2021
  • Proth prime 2 84966861
    4
    398 bytes (29 words) - 15:58, 11 July 2021
  • Riesel prime 2 16485
    4;T:T
    1 KB (122 words) - 22:27, 20 July 2021
  • Riesel prime 2 16887
    4;T:S
    1 KB (109 words) - 22:31, 20 July 2021
  • Riesel prime 2 19635
    4;T:ST
    1 KB (119 words) - 22:40, 20 July 2021
  • Riesel prime 2 807
    4
    1 KB (100 words) - 23:21, 17 March 2023
  • Riesel prime 2 813
    4;T:T
    1 KB (127 words) - 06:59, 8 October 2023
  • Riesel prime 2 819
    4
    2 KB (141 words) - 23:23, 17 March 2023
  • Riesel prime 2 833
    4
    1 KB (115 words) - 00:57, 21 March 2023
  • Riesel prime 2 843
    4
    2 KB (163 words) - 09:59, 27 March 2023
  • Riesel prime 2 855
    4;T:T
    1 KB (107 words) - 10:01, 27 March 2023
  • Riesel prime 2 857
    4
    1 KB (110 words) - 10:01, 27 March 2023
  • Riesel prime 2 863
    4
    997 bytes (89 words) - 10:45, 30 March 2023
  • Riesel prime 2 869
    4
    956 bytes (89 words) - 10:46, 30 March 2023
  • Riesel prime 2 873
    4
    2 KB (135 words) - 10:47, 30 March 2023
  • Riesel prime 2 875
    4
    2 KB (143 words) - 10:48, 30 March 2023
  • Riesel prime 2 883
    14131;C:{{NWo|+|14127}}, {{NWo|4|7064}}
    1 KB (104 words) - 01:22, 1 April 2023
  • Riesel prime 2 885
    4;T:S
    2 KB (190 words) - 01:24, 1 April 2023
  • Riesel prime 2 903
    4;T:T
    1 KB (123 words) - 08:54, 11 April 2023
  • Riesel prime 2 905
    4
    1 KB (105 words) - 08:56, 11 April 2023
  • Riesel prime 2 909
    4
    2 KB (155 words) - 23:05, 17 March 2023
  • Riesel prime 2 915
    4
    2 KB (177 words) - 13:52, 10 March 2023
  • Riesel prime 2 923
    4
    2 KB (145 words) - 08:59, 11 April 2023
  • Riesel prime 2 927
    4;T:S
    2 KB (136 words) - 09:11, 22 April 2023
  • Riesel prime 2 965
    4
    1 KB (99 words) - 09:18, 22 April 2023
  • Riesel prime 2 983
    4
    2 KB (160 words) - 09:30, 13 March 2024
  • Riesel prime 2 987
    4;T:S
    1 KB (135 words) - 09:22, 22 April 2023
  • Riesel prime 2 989
    4
    1 KB (98 words) - 09:22, 22 April 2023
  • Riesel prime 2 993
    4;T:T
    1 KB (127 words) - 09:23, 22 April 2023
  • Riesel prime 2 995
    4
    969 bytes (88 words) - 09:01, 11 April 2023
  • Riesel prime 2 20145
    4
    1 KB (108 words) - 16:09, 4 March 2024
  • Riesel prime 2 20625
    4;T:S
    2 KB (129 words) - 16:12, 4 March 2024
  • Riesel prime 2 8895
    4
    622 bytes (44 words) - 14:17, 21 July 2021
  • CRUS Liskovets-Gallot
    *[https://www.mersenneforum.org/showthread.php?t=9830 Bases 2 & 4 reservations/statuses/primes] at [[MersenneForum]]
    7 KB (957 words) - 22:40, 10 June 2023
  • Proth prime 2 95283
    4
    457 bytes (43 words) - 15:52, 11 July 2021
  • Riesel prime 2 21285
    4
    1 KB (94 words) - 17:58, 27 April 2024
  • Riesel prime 2 21825
    4
    1 KB (115 words) - 07:05, 5 March 2024
  • Riesel prime 2 21885
    4;T:S
    1 KB (101 words) - 22:54, 20 July 2021
  • Riesel prime 2 22365
    4;T:S
    1 KB (111 words) - 22:58, 20 July 2021
  • Riesel prime 2 23295
    4
    1 KB (101 words) - 23:16, 20 July 2021
  • Riesel prime 2 23805
    4;T:T
    1 KB (119 words) - 16:30, 4 March 2024
  • Riesel prime 2 23985
    4
    1 KB (107 words) - 18:32, 27 April 2024
  • Riesel prime 2 25077
    4;T:S
    1 KB (100 words) - 23:24, 20 July 2021
  • Riesel prime 2 27615
    4;T:T
    1 KB (111 words) - 16:40, 4 March 2024
  • Riesel prime 2 28215
    4;T:T
    1 KB (99 words) - 16:43, 4 March 2024
  • Riesel prime 2 28605
    4
    1 KB (114 words) - 23:39, 20 July 2021
  • Riesel prime 2 28665
    4
    1 KB (122 words) - 16:45, 4 March 2024
  • Riesel prime 2 29685
    4
    1 KB (94 words) - 23:31, 20 July 2021
  • Riesel prime 2 1993191
    3986382;119835;C:{{NWo|4|1993191}}, {{NWo|+|3986381}}
    590 bytes (46 words) - 08:14, 25 January 2024
  • Riesel prime 2 6059
    |RCount=4
    556 bytes (69 words) - 21:07, 17 December 2023
  • Proth prime 7 48
    4
    403 bytes (36 words) - 09:59, 12 July 2021
  • Riesel prime 2 10479
    4
    809 bytes (77 words) - 13:28, 21 March 2024
  • Proth prime 7 4
    |Pk=4
    459 bytes (40 words) - 09:57, 12 July 2021
  • Riesel prime 2 570409245
    4
    548 bytes (39 words) - 10:51, 21 July 2021
  • Riesel prime 2 11217
    4
    850 bytes (71 words) - 13:22, 21 March 2024
  • Riesel prime 2 11415
    4;T:T
    1 KB (78 words) - 13:28, 21 March 2024
  • Riesel prime 2 12909
    4;T:S
    413 bytes (33 words) - 03:23, 26 July 2021
  • Riesel prime 2 16447
    |RCount=4
    634 bytes (65 words) - 13:58, 10 April 2024
  • Riesel prime 2 8415
    4
    394 bytes (35 words) - 09:02, 22 July 2021
  • Riesel prime 2 17021
    |RCount=4
    627 bytes (65 words) - 14:03, 10 April 2024
  • Riesel prime 2 17369
    |RCount=4 4
    624 bytes (65 words) - 14:05, 10 April 2024
  • Riesel prime 2 17977
    |RCount=4
    625 bytes (65 words) - 14:11, 10 April 2024
  • Riesel prime 2 18727
    |RCount=4
    621 bytes (65 words) - 14:21, 10 April 2024
  • Riesel prime 2 19507
    |RCount=4
    668 bytes (70 words) - 14:30, 10 April 2024
  • Riesel prime 2 34169
    |RCount=4
    628 bytes (65 words) - 22:07, 10 April 2024
  • Riesel prime 2 33937
    |RCount=4
    627 bytes (65 words) - 22:06, 10 April 2024
  • Riesel prime 2 38887
    |RCount=4
    210 bytes (21 words) - 08:12, 1 August 2021
  • Riesel prime 2 20399
    |RCount=4
    626 bytes (65 words) - 18:59, 10 April 2024
  • Riesel prime 2 19919
    |RCount=4
    391 bytes (39 words) - 10:18, 11 August 2021
  • Riesel prime 2 18089
    4
    268 bytes (27 words) - 09:41, 29 July 2021
  • Riesel prime 2 33333
    4
    420 bytes (33 words) - 02:45, 1 August 2021
  • Riesel prime 2 25061
    |RCount=4
    628 bytes (65 words) - 19:18, 10 April 2024
  • Riesel prime 2 25183
    |RCount=4
    623 bytes (65 words) - 19:18, 10 April 2024
  • Riesel prime 2 25747
    |RCount=4
    626 bytes (65 words) - 19:20, 10 April 2024
  • Riesel prime 2 97919
    |RCount=4
    369 bytes (36 words) - 14:15, 29 February 2024
  • Riesel prime 2 40755
    4;T:T
    447 bytes (31 words) - 14:25, 27 July 2021

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