Top person sorted by score
| The Prover-Account Top 20 | |||
|---|---|---|---|
| Persons by: | number | score | normalized score |
| Programs by: | number | score | normalized score |
| Projects by: | number | score | normalized score |
At this site we keep several lists of primes, most notably the list of the 5,000 largest known primes. Who found the most of these record primes? We keep separate counts for persons, projects and programs. To see these lists click on 'number' to the right.
Clearly one 100,000,000 digit prime is much harder to discover than quite a few 100,000 digit primes. Based on the usual estimates we score the top persons, provers and projects by adding (log n)3 log log n for each of their primes n. Click on 'score' to see these lists.
Finally, to make sense of the score values, we normalize them by dividing by the current score of the 5000th prime. See these by clicking on 'normalized score' in the table on the right.
rank person primes score 1001 Alexander Gramolin 1 30.5348 1002 Oscar Östlin 5 30.1224 1003 Preda Mihailescu 2 29.2043 1004 Shusuke Kubota 1 27.4671 1005 Hugh C. Williams 1 25.5128 1006 Mark Molder 0 0.0000 1006 Lennart Vogel 0 0.0000 1006 Ian M Gunn 0 0.0000 1006 Jeff Notte 0 0.0000 1006 Steven Harvey 0 0.0000 1006 Brian Lody 0 0.0000 1006 Alexey Simbarsky 0 0.0000 1006 Raphaël Jeudy 0 0.0000 1006 Magnus Karlsteen 0 0.0000 1006 Gang Zhou 0 0.0000 1006 Robert Ruge 0 0.0000 1006 Paulo Silva 0 0.0000 1006 Craig Whyte 0 0.0000 1006 Uwe Senftleben 0 0.0000 1006 Thorsten Sambale 0 0.0000 1006 Dale Laluk 0 0.0000 1006 Pete Allivato 0 0.0000 1006 Arnaud de Klerk 0 0.0000 1006 Rune Fredriksen 0 0.0000 1006 John Natividad 0 0.0000 1006 Ward De Ridder 0 0.0000 1006 Tod Slakans 0 0.0000 1006 Hugh Myers 0 0.0000 1006 Ales Martinik 0 0.0000 1006 Javi Jarne 0 0.0000 1006 Stefan Ruch 0 0.0000 1006 Gerry Michaud 0 0.0000 1006 Shaun Cox 0 0.0000 1006 Matthew Hilbrink 0 0.0000 1006 Pablo Moreno 0 0.0000 1006 Andreas Adolfsson 0 0.0000 1006 Wayne K Ford 0 0.0000 1006 Lee Stephens 0 0.0000 1006 Uli Wühler 0 0.0000 1006 Bartlett Henderson 0 0.0000 1006 Josef Matousek 0 0.0000 1006 Edward McKernan 0 0.0000 1006 Michael Schmeisser 0 0.0000 1006 Darren Boyden 0 0.0000 1006 Justin Keenan 0 0.0000 1006 Phil Lachance 0 0.0000 1006 Benjamin Glasgow 0 0.0000 1006 Andrei Ryjkov 0 0.0000 1006 Chris Chatfield 0 0.0000 1006 Kristine Wozny 0 0.0000 1006 Gil Emery 0 0.0000 1006 Harsh Aggarwal 0 0.0000 1006 Pierre Cami 0 0.0000 1006 Eirik Lunner 0 0.0000 1006 Olaf Eiterig 0 0.0000 1006 Jürgen Heinrich 0 0.0000 1006 Larry Ryan 0 0.0000 1006 Kevin Tatterson 0 0.0000 1006 Jianwen Ling 0 0.0000 1006 Gene Howe 0 0.0000 1006 Ray Miller 0 0.0000 1006 Riley Fisher 0 0.0000 1006 Ralf Hentrich 0 0.0000 1006 Tuna Ertemalp 0 0.0000 1006 Jeff Webster 0 0.0000 1006 Daniel Martinez Cucalon 0 0.0000 1006 Michael R. McPherson 0 0.0000 1006 Jan Gniesmer 0 0.0000 1006 John S Morris III 0 0.0000 1006 William Hawkinson 0 0.0000 1006 Austin Lepri 0 0.0000 1006 Ivica Kelava 0 0.0000 1006 Adam Sutton 0 0.0000 1006 Jesper Hedlund 0 0.0000 1006 David Underbakke 0 0.0000 1006 ZinSig Kim 0 0.0000 1006 Marian Vicena 0 0.0000 1006 Mark Heyward 0 0.0000 1006 Julius Noltensmeier 0 0.0000 1006 Travis Parker 0 0.0000 1006 Luis DeJesus 0 0.0000 1006 Matthew K Williams 0 0.0000 1006 Anthony Roy 0 0.0000 1006 Matej Rizman 0 0.0000 1006 Jürgen Hochwald 0 0.0000 1006 Tore Zachariassen 0 0.0000 1006 Brian Carpenter 0 0.0000 1006 Masumi Hamada 0 0.0000 1006 John R H Graham 0 0.0000 1006 Tom Pepper 0 0.0000 1006 Heinz Durstewitz 0 0.0000 1006 Gregory Adams 0 0.0000 1006 James Steichen 0 0.0000 1006 Lars Anker-Rasch 0 0.0000 1006 Johann Felix 0 0.0000 1006 Tetsuya Watanabe 0 0.0000 1006 Eunseok Oh 0 0.0000 1006 Quasar Liao 0 0.0000 1006 Ron Jones 0 0.0000 1006 Stefano D'Urso 0 0.0000 1006 Robert Johnson 0 0.0000 1006 Leon Bird 0 0.0000 1006 Don Palmer 0 0.0000 1006 Thomas Frase 0 0.0000 1006 Michal Boruvka 0 0.0000 1006 Phillip L. Poplin 0 0.0000 1006 Frans Englund 0 0.0000 1006 Yuriy A. Choliy 0 0.0000 1006 Radoslaw Szymeczko 0 0.0000 1006 Steven F. Bohl 0 0.0000 1006 Ulrich Hartel 0 0.0000 1006 Ivar Tiller 0 0.0000 1006 Benjamin Simpson 0 0.0000 1006 Jon Goral 0 0.0000 1006 Marian Otremba 0 0.0000 1006 Daniel Hermle 0 0.0000 1006 Kirill Scherbakov 0 0.0000 1006 Karl Josef Tonner 0 0.0000 1006 Andreas Kobara 0 0.0000 1006 Torsten Harris 0 0.0000 1006 Jan Koval 0 0.0000 1006 Stefan Wakolbinger 0 0.0000 1006 Frantz Desprez 0 0.0000 1006 Lonnie Christensen 0 0.0000 1006 Markus Straub 0 0.0000 1006 Mark Doom 0 0.0000 1006 钟业海 0 0.0000 1006 Brent Thorson 0 0.0000 1006 Fred Richard 0 0.0000 1006 Walter Trautner 0 0.0000 1006 Tadashi Taura 0 0.0000 1006 Stephanie Smith 0 0.0000 1006 Jeff Anderson-Lee 0 0.0000 1006 William F. Garnett III 0 0.0000 1006 Daniel Furr 0 0.0000 1006 Robert Meckley 0 0.0000 1006 Richard Kapek 0 0.0000 1006 Hanke Penning 0 0.0000 1006 Alexander Prokopchuk 0 0.0000 1006 Sebastian Rädle 0 0.0000 1006 Aleksander Makowski 0 0.0000 1006 Victor de Hollander 0 0.0000 1006 Billy Cain 0 0.0000 1006 Vincent Ollivier 0 0.0000 1006 Jozsef Schmidt 0 0.0000 1006 Reed Jessen 0 0.0000 1006 Dwight Ringdahl 0 0.0000 1006 Jacques Haymoz 0 0.0000 1006 Allen Paschke 0 0.0000 1006 Jason McManus 0 0.0000 1006 Dave Studdert 0 0.0000 1006 Benjamin Lynch 0 0.0000 1006 Mark West 0 0.0000 1006 Rodger M. Ewing 0 0.0000 1006 Yongchen Xu 0 0.0000 1006 Albert J. Klein 0 0.0000 1006 Oscar Tutusaus Santandreu 0 0.0000 1006 Andreas Lorenz 0 0.0000 1006 Henning Busacker 0 0.0000 1006 Oleksandr Vynogradov 0 0.0000 1006 Ken Micom 0 0.0000 1006 Ruud van der Kroef 0 0.0000 1006 Ernst Fluttert 0 0.0000 1006 Jun Tajima 0 0.0000 1006 Ryota Shimizu 0 0.0000 1006 Edward Gordon 0 0.0000 1006 Ming Hsiu Lee 0 0.0000 1006 Bob van Kamp 0 0.0000 1006 Andrew Gockel 0 0.0000 1006 Lars Dausch 0 0.0000 1006 Yankton Robins 0 0.0000 1006 Stephen Draycott 0 0.0000 1006 Bernard Schmidt 0 0.0000 1006 Takeshi Watanabe 0 0.0000 1006 Dieter Stoll 0 0.0000 1006 Attila Egri-Nagy 0 0.0000 1006 William Seager 0 0.0000 1006 Bryan Koen 0 0.0000 1006 Dirk Sadowski 0 0.0000 1006 Dimitar Yanev 0 0.0000 1006 Karel Benes 0 0.0000 1006 Michael C Leung 0 0.0000 1006 Simeon I. B. Ayeni 0 0.0000 1006 Philippe Jaillet 0 0.0000 1006 Stefan Dragnev 0 0.0000 1006 Shawn Philbert 0 0.0000 1006 Nick Athanas 0 0.0000 1006 Stan Hebr 0 0.0000 1006 Dirk Broer 0 0.0000 1006 Thomas Schadt 0 0.0000 1006 Hirofumi Tamagawa 0 0.0000 1006 Gerald C. Snyder 0 0.0000 1006 Melody Reifschneider 0 0.0000 1006 Kenshin Ikisugi 0 0.0000 1006 Gergo Gomor 0 0.0000 1006 Lorenz H. Menke, Jr. 0 0.0000 1006 Billy R. Maloy, Jr. 0 0.0000 1006 Charles E. Nadeau 0 0.0000 1006 Ryan English 0 0.0000 1006 GuanWei Chen 0 0.0000 1006 Anthony Gulla 0 0.0000 1006 John Jacobs 0 0.0000 1006 Kouhei Ohyanagi 0 0.0000 1006 Arif Mert Kapicioglu 0 0.0000 1006 Lucia White 0 0.0000 1006 Ben Hines 0 0.0000 1006 Stefan Straleger 0 0.0000 1006 Kimmo Myllyvirta 0 0.0000 1006 Jeff Kopp 0 0.0000 1006 Steve McNeill 0 0.0000 1006 Jon Beard 0 0.0000 1006 Timo Schneider 0 0.0000 1006 Yoshiharu Ogata 0 0.0000 1006 Steven Tjung 0 0.0000 1006 Scott Yoshimura 0 0.0000 1006 Jasper Damstra 0 0.0000 1006 Michael O'Mara 0 0.0000 1006 Antonov Ilya Sergeevich 0 0.0000 1006 Adam Sarok 0 0.0000 1006 Justin Burner 0 0.0000 1006 Rick Brooks 0 0.0000 1006 Thomas Paul 0 0.0000 1006 Choi Yooil 0 0.0000 1006 Michael Herman 0 0.0000 1006 TomasAdrian Boboi 0 0.0000 1006 Pavel Štěpnička 0 0.0000 1006 Guillaume Tardy 0 0.0000 1006 Tony Hopman 0 0.0000 1006 Nicolas Peteri 0 0.0000 1006 Richard E. Jones Jr. 0 0.0000 1006 Bryan Ferrell 0 0.0000 1006 John Morriss 0 0.0000 1006 Jim DelGrosso 0 0.0000 1006 Nils Ohlsson 0 0.0000 1006 PoChun Huang 0 0.0000 1006 Róbert Borbély 0 0.0000 1006 John Bougneit 0 0.0000 1006 Hiroshi Yoshida 0 0.0000 1006 Jan Hnizdil 0 0.0000 1006 Ralf Graeber 0 0.0000 1006 Payam Samidoost 0 0.0000 1006 Charlie Heath 0 0.0000 1006 Mark Anderson 0 0.0000 1006 Vladislav Rassokhin 0 0.0000 1006 Lawrence Mahan 0 0.0000 1006 Adam SchwartzLowe 0 0.0000 1006 Baptiste Mot 0 0.0000 1006 Dhumil Zaveri 0 0.0000 1006 Pawel Jedrzejczyk 0 0.0000 1006 Hiroaki Nitobe 0 0.0000 1006 Vladimir Romanov 0 0.0000 1006 David Stevens 0 0.0000 1006 Leo Janda 0 0.0000 1006 Benjamin Schiwik 0 0.0000 1006 Kai Inouye 0 0.0000 1006 Evan Ziemann 0 0.0000 1006 Michael Frith 0 0.0000 1006 SriNithin 0 0.0000 1006 Urmas Jaamann 0 0.0000 1006 Sylvain Charrondiere 0 0.0000 1006 Jeffrey Trexler 0 0.0000 1006 Michael E. Jones 0 0.0000 1006 Marcel Out 0 0.0000 1006 Bartosz Bryniarski 0 0.0000 1006 Simon Geis 0 0.0000 1006 Kyle J. Gingrich 0 0.0000 1006 Caleb Brochtrup 0 0.0000 1006 Morven Hui 0 0.0000 1006 Oliver Rasp 0 0.0000 1006 Edvin Grabar 0 0.0000 1006 Jim Foody 0 0.0000 1006 Mark Redding 0 0.0000 1006 Aaron Everett 0 0.0000 1006 Evgeny Zhuravlev 0 0.0000 1006 William Beard 0 0.0000 1006 Jerry Swerczek 0 0.0000 1006 Gergely Papp 0 0.0000 1006 William Fick 0 0.0000 1006 Pavel Pelikan 0 0.0000 1006 Stephen Michael Brown 0 0.0000 1006 Jonathan Connaughty 0 0.0000 1006 Dennis Mull 0 0.0000 1006 Jacob Mueller 0 0.0000 1006 Łukasz Hernas 0 0.0000 1006 Kevin Wyn 0 0.0000 1006 Dustin Brase 0 0.0000 1006 Daniel Lemkau 0 0.0000 1006 Douglas A. Wood 0 0.0000 1006 Paul Randal 0 0.0000 1006 Yao Chen 0 0.0000 1006 Bradford Nye 0 0.0000 1006 Bob Benson 0 0.0000 1006 Jacob Sawyer 0 0.0000 1006 Ron Shurtz 0 0.0000 1006 Yannik Benz 0 0.0000 1006 Troy Wigginton 0 0.0000 1006 G. C. Greubel 0 0.0000 1006 Ben Rhodes 0 0.0000 1006 Akira Shimizu 0 0.0000 1006 William Van Dingenen 0 0.0000 1006 Matt Lee 0 0.0000 1006 Georgios Magklaras 0 0.0000 1006 Zhiyuan Ma 0 0.0000 1006 Peter M Fahlenkamp 0 0.0000 1006 Joshua Green 0 0.0000 1006 Patrick Schmeer 0 0.0000 1006 Ibai Pagola 0 0.0000 1006 Steve Cole 0 0.0000 1006 Daniel Herber 0 0.0000 1006 Mike Ingram 0 0.0000 1006 Aaron Houston Clinton 0 0.0000 1006 Yevhen Vasiliu 0 0.0000 1006 David Sas 0 0.0000 1006 John Dewar 0 0.0000 1006 Dieter Wissel 0 0.0000 1006 Jared Dickson 0 0.0000 1006 Piotr Niedbała 0 0.0000 1006 Nayuta Ito 0 0.0000 1006 Michael D. Hittle 0 0.0000 1006 Qian Zhao 0 0.0000 1006 Brad Johnston 0 0.0000 1006 David Hennebert 0 0.0000 1006 Karyn WaldenForrest 0 0.0000 1006 Henryk Jeka 0 0.0000 1006 Lucas Brandstaetter 0 0.0000 1006 Bob Goellner 0 0.0000 1006 Robert Fiedler 0 0.0000 1006 Tomo Koscak 0 0.0000 1006 Yang Liu 0 0.0000 1006 Michael Post 0 0.0000 1006 Sönke Gravemeyer 0 0.0000 1006 Scott Bedenbaugh 0 0.0000 1006 Peter Wiedemann 0 0.0000 1006 Joseph DeRoest 0 0.0000 1006 Dejan Ivanek 0 0.0000 1006 Wayne Chang 0 0.0000 1006 Andrea Pacini 0 0.0000 1006 Jason Gledhill 0 0.0000 1006 Artur Obara 0 0.0000 1006 Daniel Hagerty 0 0.0000 1006 David Plottel 0 0.0000 1006 Cole Willie 0 0.0000 1006 Paul Lantinga 0 0.0000 1006 Geoff Stirling 0 0.0000 1006 Scott Kabat 0 0.0000 1006 Ben F. Nelson 0 0.0000 1006 Duke Wolff 0 0.0000 1006 Dylan Kenney 0 0.0000 1006 Ed Braaten 0 0.0000 1006 Yasuhito Suzuki 0 0.0000 1006 Charley Gielkens 0 0.0000 1006 John ODonnell 0 0.0000 1006 Dan Swearingen 0 0.0000 1006 Marek Štochl 0 0.0000 1006 Philip Poon 0 0.0000 1006 Sergey Lovov 0 0.0000 1006 Kevin Odermatt 0 0.0000 1006 Luca Spinelli 0 0.0000 1006 Austin Jason Hicks 0 0.0000 1006 Peter Crickman 0 0.0000 1006 Eric Ueda 0 0.0000 1006 Joseph Marshall 0 0.0000 1006 Bob Calveley 0 0.0000 1006 John S. Burningham 0 0.0000 1006 A.J. Crime 0 0.0000 1006 David Harr 0 0.0000 1006 Jackson David Nemeth 0 0.0000 1006 Landon Kryger 0 0.0000 1006 Ravi Fernando 0 0.0000 1006 Dmytro Volosovsky 0 0.0000 1006 James Nobis 0 0.0000 1006 Đorđe Krstić 0 0.0000 1006 Katsumi Hirai 0 0.0000 1006 Algirdas Javtokas 0 0.0000 1006 Yuriy Bogachov 0 0.0000 1006 Lev Provotorin 0 0.0000 1006 Bernt Pettersen 0 0.0000 1006 David James 0 0.0000 1006 MARSIN Philippe 0 0.0000 1006 Mark Henderson 0 0.0000 1006 Kelvin Lo 0 0.0000 1006 John E. Dalton 0 0.0000 1006 Guido Stein 0 0.0000 1006 Paul Busse 0 0.0000 1006 Kelvin Lewis 0 0.0000 1006 Erik Rietveld 0 0.0000 1006 Antoine Butez 0 0.0000 1006 Jason Lorsung 0 0.0000 1006 Anand S Nair 0 0.0000 1006 Ichiro Akimoto 0 0.0000 1006 Markus Volk 0 0.0000 1006 Laurentiu Vornicu 0 0.0000 1006 Lucjan R. Szreter 0 0.0000 1006 Charles Morton 0 0.0000 1006 Mark Williams 0 0.0000 1006 Marc Koschewski 0 0.0000 1006 Reuben Gathright 0 0.0000 1006 Wouter de Vries 0 0.0000 1006 Jan Töpert 0 0.0000 1006 John Chell 0 0.0000 1006 Rauno Jakobson 0 0.0000 1006 Daniel Schemmel 0 0.0000 1006 Joseph G. Unbekannt 0 0.0000 1006 Brian Rossman 0 0.0000 1006 Martin Linderson 0 0.0000 1006 Aris Seisums 0 0.0000 1006 Hyacinthe Cartiaux 0 0.0000 1006 Eric Larson 0 0.0000 1006 Steve Martin 0 0.0000 1006 Sven B Larsson 0 0.0000 1006 Alan J Hidy 0 0.0000 1006 Damián Silvestre 0 0.0000 1006 Glenn Goninan 0 0.0000 1006 Luca Bertelloni 0 0.0000 1006 Thomas Kelley 0 0.0000 1006 Jean Schmalen 0 0.0000 1006 Mason Read 0 0.0000 1006 Even Stokkedalen 0 0.0000 1006 Nezumi Tarou 0 0.0000 1006 Shashank Sharma 0 0.0000 1006 Japke Rosink 0 0.0000 1006 Christian Klucken 0 0.0000 1006 Gen Hayase 0 0.0000 1006 Larfy Hu 0 0.0000 1006 Jiong Sun 0 0.0000 1006 Phil Premi 0 0.0000 1006 Manuel G. 0 0.0000 1006 Stephen Hou 0 0.0000 1006 Lauren Kloska 0 0.0000 1006 JensOla Ekström 0 0.0000 1006 Davide Oddone 0 0.0000 1006 Alan Leslie 0 0.0000 1006 Robert Eisler 0 0.0000 1006 Dirk Verhaagen 0 0.0000 1006 Phil Kenny 0 0.0000 1006 Thomas Melzer 0 0.0000 1006 Mario Löbmann 0 0.0000 1006 Detlef Erdmann 0 0.0000 1006 James Majors 0 0.0000 1006 Jara Cimrman 0 0.0000 1006 Chung Ming Wong 0 0.0000 1006 Jiri Kolencik 0 0.0000 1006 Gus Obermeyer 0 0.0000 1006 Oleksandr Natalenko 0 0.0000 1006 Max Leupold 0 0.0000 1006 Torben Kock 0 0.0000 1006 Tomáš Pitthard 0 0.0000 1006 Janne Tohmola 0 0.0000 1006 Rich Tesarz 0 0.0000 1006 Roger Karpin 0 0.0000 1006 Thomas Gbenro 0 0.0000 1006 Ryan Qian 0 0.0000 1006 Lucas Koepke 0 0.0000 1006 Andrew Borowski 0 0.0000 1006 Yannick Berker 0 0.0000 1006 Jeff Smith 0 0.0000 1006 Kel Utendorf 0 0.0000 1006 Klaus Olszowi 0 0.0000 1006 Atis Kozulis 0 0.0000 1006 Rudy Marsman 0 0.0000 1006 Dirk Gudenschwager 0 0.0000 1006 Jim Hipp 0 0.0000 1006 Ghery Pettit 0 0.0000 1006 HansJuergen Franke 0 0.0000 1006 Casimir Ksiazek III 0 0.0000 1006 Lea Wind 0 0.0000 1006 Andreas Papendick 0 0.0000 1006 Pavel Bednar 0 0.0000 1006 Tsz Lok Cheng 0 0.0000 1006 袁瑞祺 0 0.0000 1006 Li Dake 0 0.0000 1006 Tony Coleman 0 0.0000 1006 Michael John 0 0.0000 1006 Gary Lowder 0 0.0000 1006 Jedidiah OBrien 0 0.0000 1006 Takeshi Matsuda 0 0.0000 1006 Lyle Mardis 0 0.0000 1006 Karol Pilch 0 0.0000 1006 Takaharu Yamamura 0 0.0000 1006 John Taylor 0 0.0000 1006 Ričardas Lukoševičius 0 0.0000 1006 Tristan Nolan 0 0.0000 1006 Antti Paloheimo 0 0.0000 1006 Yang Xi 0 0.0000 1006 Antonín Guman 0 0.0000 1006 Mengru Liu 0 0.0000 1006 Maik Gruenewald 0 0.0000 1006 Ronald Crawford 0 0.0000 1006 Joshua Childs 0 0.0000 1006 Anthony Ray 0 0.0000 1006 Michael Dörscheln 0 0.0000 1006 Glen Miller 0 0.0000 1006 William F Cleveland 0 0.0000 1006 Luca Carnevali 0 0.0000 1006 郭旭 0 0.0000 1006 Michael Wild 0 0.0000 1006 Stefan Toenjes 0 0.0000 1006 Martyn Ronald Woodward 0 0.0000 1006 Michael Vincent Sturman 0 0.0000 1006 Dylan Austin Schoneweis 0 0.0000 1006 Vincent RIVA 0 0.0000 1006 Timothy Slegel 0 0.0000 1006 Kyle Gingrich 0 0.0000 1006 Brian J Dahlman 0 0.0000 1006 Bob Bussard 0 0.0000 1006 Alexander Jones 0 0.0000 1006 Zach Burns 0 0.0000 1006 Olof Leps 0 0.0000 1006 Marinus Rinie Smits 0 0.0000 1006 Adrians Piliksers 0 0.0000 1006 David Smelser 0 0.0000 1006 John Chadwick 0 0.0000 1006 Stefan Hofacker 0 0.0000 1006 Anhad Lamba 0 0.0000 1006 Kevin TakashitaBynum 0 0.0000 1006 Martin Megele 0 0.0000 1006 Charles Rutan 0 0.0000 1006 Rytis Slatkevicius 0 0.0000 1006 Sean Tisdell 0 0.0000 1006 Ron Wijnen 0 0.0000 1006 Derek Smit 0 0.0000 1006 Masato Kasuya 0 0.0000 1006 Seth Johnson 0 0.0000 1006 YoungJun Ga 0 0.0000 1006 Andrew Hughes 0 0.0000 1006 Jeff Odom 0 0.0000 1006 John Bruneton 0 0.0000 1006 Mikko-Pekka Leinonen 0 0.0000 1006 Lloyd Dolman 0 0.0000 1006 Jason Ash 0 0.0000 1006 Trevor Swann 0 0.0000 1006 Bruce White 0 0.0000 1006 Han Pingtian 0 0.0000 1006 Fabrice Romelard 0 0.0000 1006 Dr. Lutz Eichler 0 0.0000 1006 Frank Clowes 0 0.0000 1006 Richard Block 0 0.0000 1006 Dirk Broer 0 0.0000 1006 Greg Walsh 0 0.0000 1006 Bruce Southey 0 0.0000 1006 Jun Heok Ji 0 0.0000 1006 Eric Lagueuniere 0 0.0000 1006 T. S. Kim 0 0.0000 1006 Jerzy Gieorgijewski 0 0.0000 1006 Henry Holzkamp 0 0.0000 1006 Eric Prestemon 0 0.0000 1006 Markus Zyber 0 0.0000 1006 Silvio Gordiani 0 0.0000 1006 Jager Buss 0 0.0000 1006 Adam Carpenter 0 0.0000 1006 Spyros Nikolaou 0 0.0000 1006 Jaromir Muzik 0 0.0000 1006 Laurence Duggan 0 0.0000 1006 Bruno Windischmann 0 0.0000 1006 Sander Kõluvere 0 0.0000 1006 Gerd Verbouwe 0 0.0000 1006 Mac Trice 0 0.0000 1006 Sven Srock 0 0.0000 1006 Roberto Piantoni 0 0.0000 1006 John P. Myers 0 0.0000 1006 Mark Brittenham 0 0.0000 1006 Milos Hudec 0 0.0000 1006 Sindri Jarlsson 0 0.0000 1006 Brent Schneider 0 0.0000 1006 Teuvo Korhonen 0 0.0000 1006 Brian Rodenkirk 0 0.0000 1006 Georg Amschl 0 0.0000 1006 Pavel Pryazhentsev 0 0.0000 1006 Harry Jurkis 0 0.0000 1006 Jakub Homola 0 0.0000 1006 Alex Grummett 0 0.0000 1006 Przemyslaw Buzak 0 0.0000 1006 Kimmo Herranen 0 0.0000 1006 Kingsley Jarrett 0 0.0000 1006 Art Bisschop 0 0.0000 1006 Simon Benz 0 0.0000 1006 Paul Griffin 0 0.0000 1006 Sven Stockmann 0 0.0000 1006 Nikolay Kamenyuk 0 0.0000 1006 Lukas Guggolz 0 0.0000 1006 Jeffrey Maruska 0 0.0000 1006 Danny T. Morris 0 0.0000 1006 ian wentling 0 0.0000 1006 Laurent Cheylat 0 0.0000 1006 Riku Valli 0 0.0000 1006 Joshua Whiteley 0 0.0000 1006 George Eldridge 0 0.0000 1006 Michael Raynor 0 0.0000 1006 Raul Prisacariu 0 0.0000 1006 Will Palumbo 0 0.0000 1006 Marc Harper 0 0.0000 1006 Shunsuke Nagayama 0 0.0000 1006 Danilo Vieira 0 0.0000 1006 Tarmo Ilves 0 0.0000 1006 Frank Kuhlmann 0 0.0000 1006 Tomáš Belloň 0 0.0000 1006 Pascal Vandaele 0 0.0000 1006 Zdeněk Jelínek 0 0.0000 1006 Marek Trembacz 0 0.0000 1006 Dave Wintrip 0 0.0000 1006 S Teoh 0 0.0000 1006 René Brückner 0 0.0000 1006 Martin Havlíček 0 0.0000 1006 Daniel Wimmer 0 0.0000 1006 Chen Hsun Chang 0 0.0000 1006 James Reichel 0 0.0000 1006 Geoffrey Exoo 0 0.0000 1006 Jeff Kinne 0 0.0000 1006 Tomasz R. 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Notes:
- Score for Primes
To find the score for a person, program or project's primes, we give each prime n the score (log n)3 log log n; and then find the sum of the scores of their primes. For persons (and for projects), if three go together to find the prime, each gets one-third of the score. Finally we take the log of the resulting sum to narrow the range of the resulting scores. (Throughout this page log is the natural logarithm.)
How did we settle on (log n)3 log log n? For most of the primes on the list the primality testing algorithms take roughly O(log(n)) steps where the steps each take a set number of multiplications. FFT multiplications take about
O( log n . log log n . log log log n )
operations. However, for practical purposes the O(log log log n) is a constant for this range number (it is the precision of numbers used during the FFT, 64 bits suffices for numbers under about 2,000,000 digits).
Next, by the prime number theorem, the number of integers we must test before finding a prime the size of n is O(log n) (only the constant is effected by prescreening using trial division). So to get a rough estimate of the amount of time to find a prime the size of n, we just multiply these together and we get
O( (log n)3 log log n ).
Finally, for convenience when we add these scores, we take the log of the result. This is because log n is roughly 2.3 times the number of digits in the prime n, so (log n)3 is quite large for many of the primes on the list. (The number of decimal digits in n is floor((log n)/(log 10)+1)).