The Prime Pages: Top persons sorted by score

Top persons sorted by score
(Another of the Prime Pages' resources)

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

628 T . Kleinjung 0.5833 32.6422

628 Jens Franke 0.5833 32.6422

628 T. Wirth 0.5833 32.6422

631 Matthew Peets 5 32.1086

632 Tom Kuechler 1 31.5072

633 Torbjörn Alm 1.1667 31.1049

634 Patrick Demichel 1 30.9018

635 Preda Mihailescu 3 29.4063

636 Ernst W. Mayer 1.5 28.1198

637 Ignacio Larrosa Cañestro 1 27.6423

638 Michael Bell 4 27.4388

639 Shusuke Kubota 2 26.7905

640 Hugh C. Williams 1 25.5128

641 Michael A. Penk 0.6667 25.1185

641 Joe P. Buhler 0.6667 25.1185

641 Richard E. Crandall 0.6667 25.1185

644 Markus Frind 0.5 24.6901

645 Phil Kenny 0 0.0000

645 Nicholas D. Simpson 0 0.0000

645 Brian J Dahlman 0 0.0000

645 Michael S. Toth 0 0.0000

645 Hans Backlund 0 0.0000

645 L. Vincent Edmondson 0 0.0000

645 Andreas Wullen 0 0.0000

645 Akihiko Satou 0 0.0000

645 Martin Rippena 0 0.0000

645 Fred Wood 0 0.0000

645 Ed Arenz 0 0.0000

645 John Dilick 0 0.0000

645 Dennis Okon 0 0.0000

645 Patrick Reynolds 0 0.0000

645 Anton Oleynick 0 0.0000

645 Adam Boseley 0 0.0000

645 Paul Steffener 0 0.0000

645 Mindaugas Cesonis 0 0.0000

645 Christian Bohn 0 0.0000

645 Flavius Isac 0 0.0000

645 Peter Crickman 0 0.0000

645 Mark Timbrell 0 0.0000

645 Yohann Richard 0 0.0000

645 Maurus Balmer 0 0.0000

645 Thomas J. Engelsma 0 0.0000

645 Bo Planck Møller 0 0.0000

645 Tomas Farken 0 0.0000

645 Achim Schaefer 0 0.0000

645 Bhagwandas Jogibhai 0 0.0000

645 William Dean 0 0.0000

645 Victor Felder 0 0.0000

645 Donovan Johnson 0 0.0000

645 Ronnie Gene Gragg 0 0.0000

645 Kevin P Erickson 0 0.0000

645 Bruce Beauregard 0 0.0000

645 David M. L. Karl 0 0.0000

645 Tony Galvan 0 0.0000

645 Juha Touru 0 0.0000

645 Jason Earls 0 0.0000

645 Giles Averay-Jones 0 0.0000

645 Henry Hamilton 0 0.0000

645 Masanori Hirotomo 0 0.0000

645 Bob Tonson 0 0.0000

645 Jason Clark 0 0.0000

645 Kevin Gandriau 0 0.0000

645 Mariusz Szydlik 0 0.0000

645 Scott R. Anderson 0 0.0000

645 Alexander Becker 0 0.0000

645 Randy Wilson 0 0.0000

645 K Adams 0 0.0000

645 Jan Svensson 0 0.0000

645 Mark Simpson 0 0.0000

645 Derek Parry 0 0.0000

645 David Hillis 0 0.0000

645 Tracy Green 0 0.0000

645 Dieter Stoll 0 0.0000

645 Steve Chester 0 0.0000

645 Sirko Rosenberg 0 0.0000

645 Alessandro Mandelli 0 0.0000

645 David Thaw 0 0.0000

645 Mitsuhiro Endo 0 0.0000

645 Christian Mandery 0 0.0000

645 Thomas Leranth 0 0.0000

645 Martin Weil 0 0.0000

645 John Michael Blazek 0 0.0000

645 Vasileios Modes 0 0.0000

645 Martin Seinsche 0 0.0000

645 James Huddleston 0 0.0000

645 Christian Beaumet 0 0.0000

645 Christian Weibel 0 0.0000

645 Leon Riddle 0 0.0000

645 David Henderson 0 0.0000

645 Tetsuya Matsushita 0 0.0000

645 Thomas Frase 0 0.0000

645 Jay Miller 0 0.0000

645 Jocelyn Larouche 0 0.0000

645 Scott Hutchison 0 0.0000

645 Jesús Moreno 0 0.0000

645 Kai Kowitzke 0 0.0000

645 Birgit Guder 0 0.0000

645 Bjoern Henke 0 0.0000

645 Daval Davis 0 0.0000

645 Saito Manabu 0 0.0000

645 Jari Pyyluoma 0 0.0000

645 Rory Smith 0 0.0000

645 Werner Soika 0 0.0000

645 Alan Jung 0 0.0000

645 V.M.Ulyanov 0 0.0000

645 Philip Englehard 0 0.0000

645 Andrew Barrett 0 0.0000

645 Alexander Rydekull 0 0.0000

645 Peter Field 0 0.0000

645 Michael Hampicke 0 0.0000

645 FDCPS Contributors 0 0.0000

645 Radoslaw Trzeciecki 0 0.0000

645 Olaf Liebe 0 0.0000

645 Raphaël Povéda 0 0.0000

645 Natalie Johnson 0 0.0000

645 Christoph Pfeiffer 0 0.0000

645 Sébastien Pradas 0 0.0000

645 Damien Rondeau 0 0.0000

645 Jean-Paul Craff 0 0.0000

645 Steffen Babetzky 0 0.0000

645 Andy Rawling 0 0.0000

645 Mr. Mark Livingstone JP(Qual) 0 0.0000

645 Gary Suter 0 0.0000

645 Dr Anthony Holloway 0 0.0000

645 Marc Tirapelle 0 0.0000

645 Frank Laurijssens 0 0.0000

645 Jorden VanderElst 0 0.0000

645 John M. Johnson 0 0.0000

645 Andrew J. Rupinski 0 0.0000

645 William F. Garnett III 0 0.0000

645 R.A. Twain 0 0.0000

645 Eric Eisenmann 0 0.0000

645 István Papp 0 0.0000

645 Kathryn Marks 0 0.0000

645 Preben Bertelsen 0 0.0000

645 Mario Müller 0 0.0000

645 Evandro Menezes 0 0.0000

645 Ashish Vora 0 0.0000

645 Robert Kaehler 0 0.0000

645 Georg Schirwitz 0 0.0000

645 Bert Doorn 0 0.0000

645 Werner Hess 0 0.0000

645 Jan Ziersch 0 0.0000

645 Detmar Wenzel 0 0.0000

645 Matthew Hill 0 0.0000

645 Jonathan Hawryluk 0 0.0000

645 Jan Heimpold 0 0.0000

645 Janusz Szmidt 0 0.0000

645 Dave Cuddington 0 0.0000

645 Göran Axelsson 0 0.0000

645 Nicolas Alvarez 0 0.0000

645 Boris Platzer 0 0.0000

645 Steven Nikkel 0 0.0000

645 Patrick Pirson 0 0.0000

645 Werner Durandi 0 0.0000

645 Christian Hercher 0 0.0000

645 Kenneth Egtved Pedersen 0 0.0000

645 Andrew Walker 0 0.0000

645 Kenneth M Crawford 0 0.0000

645 Peter JH Dodson 0 0.0000

645 Drew Stovall 0 0.0000

645 Richard T. Walraven 0 0.0000

645 Robert Ensgraber 0 0.0000

645 William Stott 0 0.0000

645 A. Scott Henderson 0 0.0000

645 Jelle De Vreese 0 0.0000

645 Ant Sluijter 0 0.0000

645 Ed English 0 0.0000

645 Chris Triplett 0 0.0000

645 Dave Pickles 0 0.0000

645 Ivaylo Iliev Atanasov 0 0.0000

645 Bengt-Åke Johansson 0 0.0000

645 Stephan Brunek 0 0.0000

645 Christian Sprafke 0 0.0000

645 Nicolas Freres 0 0.0000

645 David Rayment 0 0.0000

645 Michael Rottluff 0 0.0000

645 Peter Boulay 0 0.0000

645 Tim Schmeiser 0 0.0000

645 John Vandenberg 0 0.0000

645 Dusan Vykouril 0 0.0000

645 Martin Bron 0 0.0000

645 Peter Daniel Dimmick 0 0.0000

645 Adam Manzer 0 0.0000

645 Wim Korhorn 0 0.0000

645 JF Boyer 0 0.0000

645 Lew Baxter 0 0.0000

645 Jared Smith-Mickelson 0 0.0000

645 Martin Kladny 0 0.0000

645 Mateusz Pabis 0 0.0000

645 Eran Navon 0 0.0000

645 Eric Da Sylva 0 0.0000

645 David Terr 0 0.0000

645 Alexander O. Anisimov 0 0.0000

645 Brian Malone 0 0.0000

645 Sergejs Janulonoks 0 0.0000

645 Philip Volkes 0 0.0000

645 Agustín DallAlba 0 0.0000

645 Dajgoro Labinac 0 0.0000

645 Rami Hochenbaum 0 0.0000

645 Christopher Smith 0 0.0000

645 Tim Frost 0 0.0000

645 Dean Cashen 0 0.0000

645 Michal Szostak 0 0.0000

645 Dan Lee 0 0.0000

645 Christos Vassiladiotis 0 0.0000

645 Benjamin Sklar 0 0.0000

645 Piotr Skorski 0 0.0000

645 Jonnie Arai 0 0.0000

645 Dean Loros 0 0.0000

645 Ian Upham 0 0.0000

645 William Walker 0 0.0000

645 Olivier Tarnus 0 0.0000

645 Nick Schradick 0 0.0000

645 Bob Kuehne 0 0.0000

645 Mats Karlsson 0 0.0000

645 Zoltan Kemenes 0 0.0000

645 Péter Proszenyák 0 0.0000

645 Chris La Marra 0 0.0000

645 Geoff Westphal 0 0.0000

645 Iury Benevelli 0 0.0000

645 Björn Guth 0 0.0000

645 Rob Pont 0 0.0000

645 Steven R. Shapiro 0 0.0000

645 Andrea Cremaschi 0 0.0000

645 Arne Helander 0 0.0000

645 Ben Fries 0 0.0000

645 Sascha Martin 0 0.0000

645 Scott Wilder 0 0.0000

645 Tristan A. Hearn 0 0.0000

645 Martin Hudlicka 0 0.0000

645 Brady Heigaard 0 0.0000

645 Donal Maguire 0 0.0000

645 Carsten Hartwig 0 0.0000

645 Noritaka Iwata 0 0.0000

645 Andrea Pacini 0 0.0000

645 Philip W. Smith 0 0.0000

645 Jo Yeong Uk 0 0.0000

645 Christian Nilsson 0 0.0000

645 Jeff Wolfe 0 0.0000

645 Charles H (Chuck) Lasher 0 0.0000

645 Alexander Postika 0 0.0000

645 Adrian Jimenez 0 0.0000

645 Jim Buddenhagen 0 0.0000

645 Tatsuya Takahashi 0 0.0000

645 Jakub Uvira 0 0.0000

645 Daniel Blake 0 0.0000

645 David Duvall 0 0.0000

645 Michał Kamiński 0 0.0000

645 Dennis Mueller 0 0.0000

645 Patrick Gervais 0 0.0000

645 Juergen Kampmeier 0 0.0000

645 Ronny Willig 0 0.0000

645 Tom Flowers 0 0.0000

645 Torsten Schroeder 0 0.0000

645 Ben Baker 0 0.0000

645 Gerald T. Richards 0 0.0000

645 Oliver Hinken 0 0.0000

645 Paul Hodges 0 0.0000

645 Leotti Romain 0 0.0000

645 David John Adams 0 0.0000

645 John Deneer 0 0.0000

645 Mark I Williams 0 0.0000

645 Damian Peter Shaw 0 0.0000

645 Jonathan Pinyan 0 0.0000

645 Rafael Hens Lopez 0 0.0000

645 Minas Rassoulis 0 0.0000

645 Sean Matheis 0 0.0000

645 Stefan Rausch 0 0.0000

645 Stefano D'Urso 0 0.0000

645 Ian S Drugmand 0 0.0000

645 Samuel D. Leonard 0 0.0000

645 Christopher J Phelps 0 0.0000

645 Mr. José A. Izquierdo 0 0.0000

645 Juraj Borza 0 0.0000

645 Steffen Grundmann 0 0.0000

645 Lars Kusserow 0 0.0000

645 Nebojsa Bajramovic 0 0.0000

645 Joel Hopper 0 0.0000

645 David Blaschke 0 0.0000

645 Jayson R. King 0 0.0000

645 Tom Hadley 0 0.0000

645 Juraj Holtak 0 0.0000

645 Sander Hoogendoorn 0 0.0000

645 Dmitry Bodyagin 0 0.0000

645 Kazuyoshi Asao 0 0.0000

645 Guido Smetrijns 0 0.0000

645 Tyler Cadigan 0 0.0000

645 David Harrison 0 0.0000

645 Bruno DallOsto 0 0.0000

645 Michael B. Porter 0 0.0000

645 Hiroki Sugawara 0 0.0000

645 Jean-Christophe Lambry 0 0.0000

645 Henri Lifchitz 0 0.0000

645 Ronny Edler 0 0.0000

645 László Takács 0 0.0000

645 Balázs Szabó 0 0.0000

645 Tony Forbes 0 0.0000

645 Bruce Ziemienski 0 0.0000

645 Matt Mills 0 0.0000

645 Brian Ball 0 0.0000

645 Joshua David Addington 0 0.0000

645 Jeremy A. Rouse 0 0.0000

645 Didier Boivin 0 0.0000

645 Marc Lauzon 0 0.0000

645 Johannes Leicht 0 0.0000

645 Eduard Kostolansky 0 0.0000

645 Sean Sullivan 0 0.0000

645 Richard Seddon 0 0.0000

645 Helmut Zeisel 0 0.0000

645 Michael Ian Hartley 0 0.0000

645 Peter R. Sirl 0 0.0000

645 Tim Nikkel 0 0.0000

645 Brian J. Beesley 0 0.0000

645 Michael Keil 0 0.0000

645 Wade Cazabat 0 0.0000

645 Bernard Pierre 0 0.0000

645 Jean-Loup Saladin 0 0.0000

645 Chris Preedy 0 0.0000

645 David Olson 0 0.0000

645 José Luis Poveda Galdrán 0 0.0000

645 Sheldon Jolson 0 0.0000

645 Werner Pasternak 0 0.0000

645 Rodney Marshall 0 0.0000

645 Steve Groom 0 0.0000

645 Aki Greus 0 0.0000

645 Dwayne Sterling Roberts 0 0.0000

645 Patrick Bailly 0 0.0000

645 Der Meister 0 0.0000

645 Simon Kingsley 0 0.0000

645 Mathias Österdahl 0 0.0000

645 Ricardo Fraga 0 0.0000

645 Leigh Jamgochian 0 0.0000

645 Stephen Marwick 0 0.0000

645 Benoit Fauve 0 0.0000

645 Stan Pleban 0 0.0000

645 Chang-Chun, Lee 0 0.0000

645 Mike Schulz 0 0.0000

645 Francesco Balducci 0 0.0000

645 Marcel Penstorf 0 0.0000

645 Will Oram 0 0.0000

645 Rafal Stanek 0 0.0000

645 Bartlett Henderson 0 0.0000

645 Marco Baumann 0 0.0000

645 David Qi 0 0.0000

645 Oliver McDonald 0 0.0000

645 Aaron Lau 0 0.0000

645 Robin Weezepoel 0 0.0000

645 Travis J. Taylor 0 0.0000

645 Joachim Nönnig 0 0.0000

645 Daniele Casale 0 0.0000

645 Simon Walker 0 0.0000

645 Arne Sielemann 0 0.0000

645 Jason Lynch 0 0.0000

645 Jeffrey Flower 0 0.0000

645 Bruce Field 0 0.0000

645 Nicholas Thornton 0 0.0000

645 Jeremy Groves 0 0.0000

645 John Bradford 0 0.0000

645 Chung Ming Wong 0 0.0000

645 Kenneth A. Warner 0 0.0000

645 Michael Tracy 0 0.0000

645 Lennart Meyer 0 0.0000

645 Michael Heca 0 0.0000

645 Eric Kne 0 0.0000

645 Michael Conmackie 0 0.0000

645 Renato Michelis 0 0.0000

645 Dan Baxter 0 0.0000

645 Stuart Gibbons 0 0.0000

645 Roald Solbjørg 0 0.0000

645 Jeffrey Dungan 0 0.0000

645 Krystof Touska 0 0.0000

645 Nico Van de Sande 0 0.0000

645 Andrew Lott 0 0.0000

645 Aitor Ruiz de Samaniego 0 0.0000

645 Thierry Drumel 0 0.0000

645 Cormac Doyle 0 0.0000

645 Chris Wilson 0 0.0000

645 Steffen Fiebrig 0 0.0000

645 Aldis Poznaks 0 0.0000

645 Robert Dennis 0 0.0000

645 William Howard 0 0.0000

645 Christofer Paz de Oliveira 0 0.0000

645 Maarten Smeyers 0 0.0000

645 Dan Potter 0 0.0000

645 Dimitris Makris 0 0.0000

645 Daniel Queißer 0 0.0000

645 Michael Neff 0 0.0000

645 Alan Taylor 0 0.0000

645 Fredrik Erlandsson 0 0.0000

645 James Stephen Hopson 0 0.0000

645 Gerald Fischer 0 0.0000

645 Sam Law 0 0.0000

645 Neil Stuart 0 0.0000

645 Dan Martin 0 0.0000

645 Simon Fisher 0 0.0000

645 Christian Hilberath 0 0.0000

645 Derek Rutherford 0 0.0000

645 Michelle Oliver 0 0.0000

645 Scott Nicholls 0 0.0000

645 Adam Jackson 0 0.0000

645 Richard Clark 0 0.0000

645 Michael Thompson 0 0.0000

645 Maurice Goulois 0 0.0000

645 Torsten Kiebs 0 0.0000

645 Renee McShane 0 0.0000

645 Sandro Tosi 0 0.0000

645 Annett David 0 0.0000

645 Jan Trautmann 0 0.0000

645 John Rowlands 0 0.0000

645 Balázs Szabó 0 0.0000

645 Jonathan Braxton 0 0.0000

645 Bryan O'Shea 0 0.0000

645 Justas Puodziunas 0 0.0000

645 John Santiago-Wile 0 0.0000

645 Stéphanie Rouquette-Léveil 0 0.0000

645 Pierre Moutoussamy 0 0.0000

645 Jarno Culhane 0 0.0000

645 Guillaume Délon 0 0.0000

645 Frank Wunderlich 0 0.0000

645 Papp Gergely 0 0.0000

645 David Sutton 0 0.0000

645 Edward C. Otto III 0 0.0000

645 Lewis Edwards 0 0.0000

645 S. Starbuck 0 0.0000

645 Claude Gerald 0 0.0000

645 Neil Polson 0 0.0000

645 Paul Armijo 0 0.0000

645 Elias Sajo 0 0.0000

645 Johannes Nüßle 0 0.0000

645 Johann Neudecker 0 0.0000

645 Mark Wijzenbroek 0 0.0000

645 Gary J Cunningham 0 0.0000

645 Roy van Rijn 0 0.0000

645 Joseph McLean 0 0.0000

645 Michael Hannigan 0 0.0000

645 Kirk Pearson 0 0.0000

645 Michael Sobolewski 0 0.0000

645 Harvey Seargeant 0 0.0000

645 Peter Shaw 0 0.0000

645 Lars A Carlen 0 0.0000

645 Mikael Klasson 0 0.0000

645 Jon Graham 0 0.0000

645 Renaud Lifchitz 0 0.0000

645 Mark R. Coffey 0 0.0000

645 B. H. Zhan 0 0.0000

645 Ray G. Opao 0 0.0000

645 Ole Kirkeby 0 0.0000

645 Marc Castagne 0 0.0000

645 Anja Zahn 0 0.0000

645 David E. Lancaster 0 0.0000

645 Samuli Larvala 0 0.0000

645 Lelio Ribeiro de Paula 0 0.0000

645 Harald Ritter 0 0.0000

645 David Kokales 0 0.0000

645 Frank Bleich 0 0.0000

645 Jason Fraser 0 0.0000

645 Lee Stephens 0 0.0000

645 Stephane Roth 0 0.0000

645 Jose Manuel Plaza 0 0.0000

645 Reinhard F. Stenzel 0 0.0000

645 Michael Keppler 0 0.0000

645 Jukka Santala 0 0.0000

645 Roberto E. Martinez II 0 0.0000

645 Rafal Stanilewicz 0 0.0000

645 Thom Adams 0 0.0000

645 Rachel Lewis 0 0.0000

645 Skip Key 0 0.0000

645 Milton L. Brown 0 0.0000

645 Max Bennedich 0 0.0000

645 Nathan F. Russell 0 0.0000

645 Roberto Botrugno 0 0.0000

645 Tamer Güvenc 0 0.0000

645 Kay Schoenberger 0 0.0000

645 James Dean Jenkins 0 0.0000

645 Luke Gustafson 0 0.0000

645 Heath Gerhardt 0 0.0000

645 Giovanni La Barbera 0 0.0000

645 Joe Eversole 0 0.0000

645 Wolfgang Elsner 0 0.0000

645 Peter A. Rogerson 0 0.0000

645 Chun Wa Lau 0 0.0000

645 Mark D. Turner 0 0.0000

645 Steffen Polster 0 0.0000

645 Peter Hicks 0 0.0000

645 Ian Hicks 0 0.0000

645 Fumitaka Yura 0 0.0000

645 Karl-Heinz Indlekofer 0 0.0000

645 Heinz-Georg Wassing 0 0.0000

645 Andres Aitsen 0 0.0000

645 Morris Cox 0 0.0000

645 V.S. Wighman 0 0.0000

645 Marc Thibeault 0 0.0000

645 David A. Miller 0 0.0000

645 R.H. vanderPeijl 0 0.0000

645 Polly T. Wang 0 0.0000

645 Orkun Tuncay 0 0.0000

645 Takuro Tsujikawa 0 0.0000

645 Mark Alfonso 0 0.0000

645 Daniel C. McCann 0 0.0000

645 Richard D Parry Jr 0 0.0000

645 Meng-Hsuan Wu 0 0.0000

645 Margus Sõmer 0 0.0000

645 Marc Liddell 0 0.0000

645 Robert L. Clark 0 0.0000

645 James Carpenter 0 0.0000

645 Dick Boland 0 0.0000

645 Robert Prethaler 0 0.0000

645 Wendy Hecate Hartman 0 0.0000

645 Jason T. Gmoser 0 0.0000

645 Tom Shaw 0 0.0000

645 Charles F. Kerchner III 0 0.0000

645 Maciej Piotr Ulas 0 0.0000

645 Jan Buda 0 0.0000

645 Michael J Graef 0 0.0000

645 Arvind Narayanan 0 0.0000

645 Frank Schickel 0 0.0000

645 Sébastien Desnault 0 0.0000

645 Olivier Dodinval 0 0.0000

645 Diego Rattaggi 0 0.0000

645 Seymor Turgay 0 0.0000

645 Bryan McIntyre 0 0.0000

645 Steven John Knight 0 0.0000

645 Martin Krone 0 0.0000

645 Craig Kitchen 0 0.0000

645 Marco La Barbera 0 0.0000

645 Chris St.Clair 0 0.0000

645 Michael W. O'Brien 0 0.0000

645 Harrison R. Brown 0 0.0000

645 Jean-Yves Canart 0 0.0000

645 Dan M. P. Szczotka 0 0.0000

645 Robert Poling 0 0.0000

645 Craig Lewis 0 0.0000

645 Paul Leyland 0 0.0000

645 Alexis Nunes 0 0.0000

645 John Dyer 0 0.0000

645 Andrey V. Kulsha 0 0.0000

645 Jeffrey Heleen 0 0.0000

645 Timothy Brown 0 0.0000

645 Patrick Fossano 0 0.0000

645 Landon Curt Noll 0 0.0000

645 Fekadu A. Asghedom 0 0.0000

645 Bodo Parady 0 0.0000

645 Joel Smith 0 0.0000

645 John Brown 0 0.0000

645 Gene Smith 0 0.0000

645 Sergio Zarantonello 0 0.0000

645 Richard Jones 0 0.0000

645 Sang-Min Kim 0 0.0000

645 Alan W. Altman 0 0.0000

645 Andrew Davie 0 0.0000

645 Michal Misztal 0 0.0000

645 Guillermo J Colom 0 0.0000

645 Rodolfo Ruiz-Huidobro 0 0.0000

645 David Sheerin 0 0.0000

645 James Berwick 0 0.0000

645 Baptiste Heyman 0 0.0000

645 Iago L Camboa 0 0.0000

645 Don J. Routman 0 0.0000

645 Masato Misawa 0 0.0000

645 Michael A. Belessis 0 0.0000

645 Rick Marazzani 0 0.0000

645 Richard A. Quelle 0 0.0000

645 Amol Kapila 0 0.0000

645 Tobias Gustafsson 0 0.0000

645 Nils Blix 0 0.0000

645 Arthur Meunier 0 0.0000

645 S.R. Driggers 0 0.0000

645 Edwin Mons 0 0.0000

645 Jodie Forbes-Millott 0 0.0000

645 Alfredo Cano 0 0.0000

645 Gary Chaffey and Peter Shaw 0 0.0000

645 Jeremy Rouse, Gautam Thatte 0 0.0000

645 Jefferson M Wolski 0 0.0000

645 István Nagy 0 0.0000

645 Aaron Swihart 0 0.0000

645 Chris Becker 0 0.0000

645 Jan Munch Pedersen 0 0.0000

645 Gregory van Deventer 0 0.0000

645 Ulrich Thiel 0 0.0000

645 Fanis Matsoukas 0 0.0000

645 Alexander Tiountchik 0 0.0000

645 Kirk L. Shanks 0 0.0000

645 Anna Shefl 0 0.0000

645 Mathew James Cordell 0 0.0000

645 Warut Roonguthai 0 0.0000

645 Pierre Jammes 0 0.0000

645 Guillermo Ballester Valor 0 0.0000

645 Duncan A. Buell 0 0.0000

645 Nick Craig-Wood 0 0.0000

645 John D. DeCuir 0 0.0000

645 Pat Costello 0 0.0000

645 Ed Adamson 0 0.0000

645 Thomas Nokleby 0 0.0000

645 Christopher A. Florin 0 0.0000

645 Andrew J. Slodkiewicz 0 0.0000

645 Andrew Frazer 0 0.0000

645 Bradford James Brown 0 0.0000

645 Robert Kovacs 0 0.0000

645 Edward Brisse 0 0.0000

645 Oded Papish 0 0.0000

645 Paul Lamberth 0 0.0000

645 Chris Monico 0 0.0000

645 Stephen A. Wood 0 0.0000

645 Lorenzo Fortunato 0 0.0000

645 Steven Whitaker 0 0.0000

645 Phillip L. Poplin 0 0.0000

645 Mark Kneisler 0 0.0000

645 Kevin Carton 0 0.0000

645 Germano Gonzaga Lima do Vale Filho 0 0.0000

645 Bojan Antonovic 0 0.0000

645 Jason Alexander Zaruba 0 0.0000

645 Joseph Makram Mikhail 0 0.0000

645 Tallak Harald Breivik 0 0.0000

645 Brandon Galbraith 0 0.0000

645 Gerben Dirksen 0 0.0000

645 Christopher A. Frederick 0 0.0000

645 Rhesa Rozendaal 0 0.0000

645 Abel Braaksma 0 0.0000

645 Frank Davis 0 0.0000

645 Isaac Keslassy 0 0.0000

645 Martijn Olivier Tigchelaar 0 0.0000

645 Associazione Baudhaus + Lorenzo Fortunato 0 0.0000

645 J. K. Smith 0 0.0000

645 Katherine Guseva 0 0.0000

645 Harry L. Nelson 0 0.0000

645 Martin Eibl 0 0.0000

645 Ralph Wernsdorf 0 0.0000

645 Alexander Kruppa 0 0.0000

645 Conrad Curry 0 0.0000

645 A. Oliver L. Atkin 0 0.0000

645 Neil W. Rickert 0 0.0000

645 Markus Hiltbrunner 0 0.0000

645 Jose Luis Gomez Pardo 0 0.0000

645 Mattias Götling 0 0.0000

645 Tero Kivinen 0 0.0000

645 Richard Brent 0 0.0000

645 Eduardo Molina 0 0.0000

645 Bryant Tuckerman 0 0.0000

645 Laura A. Nickel 0 0.0000

645 Hiromi Suyama 0 0.0000

645 R. Eager 0 0.0000

645 Karl E. Wimmer 0 0.0000

645 Donald B. Gillies 0 0.0000

645 Peter Liaskovsky 0 0.0000

645 G. V. Cormack 0 0.0000

645 Jurgen Buhl 0 0.0000

645 Walter Borho 0 0.0000

645 Hans Riesel 0 0.0000

645 Anders Björn 0 0.0000

645 Theodore L. Burton 0 0.0000

645 Robert Baillie 0 0.0000

645 Gerhard Jaeschke 0 0.0000

645 Gary B. Gostin 0 0.0000

645 Alexander Hurwitz 0 0.0000

move up list

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)).