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 629 Ray Chandler 4 32.7128 630 T . Kleinjung 0.5833 32.6422 630 T. Wirth 0.5833 32.6422 630 Jens Franke 0.5833 32.6422 633 Matthew Peets 5 32.1086 634 Tom Kuechler 1 31.5072 635 Torbjörn Alm 1.1667 31.1049 636 Patrick Demichel 1 30.9018 637 Preda Mihailescu 3 29.4063 638 Ernst W. Mayer 1.5 28.1198 639 Ignacio Larrosa Cañestro 1 27.6423 640 Michael Bell 4 27.4388 641 Shusuke Kubota 1 26.0974 642 Hugh C. Williams 1 25.5128 643 Richard E. Crandall 0.6667 25.1185 643 Michael A. Penk 0.6667 25.1185 643 Joe P. Buhler 0.6667 25.1185 646 Markus Frind 0.5 24.6901 647 Phil Kenny 0 0.0000 647 Nicholas D. Simpson 0 0.0000 647 Brian J Dahlman 0 0.0000 647 Michael S. Toth 0 0.0000 647 Hans Backlund 0 0.0000 647 L. Vincent Edmondson 0 0.0000 647 Andreas Wullen 0 0.0000 647 Akihiko Satou 0 0.0000 647 Fred Wood 0 0.0000 647 Martin Rippena 0 0.0000 647 Ed Arenz 0 0.0000 647 John Dilick 0 0.0000 647 Dennis Okon 0 0.0000 647 Patrick Reynolds 0 0.0000 647 Anton Oleynick 0 0.0000 647 Adam Boseley 0 0.0000 647 Paul Steffener 0 0.0000 647 Mindaugas Cesonis 0 0.0000 647 Christian Bohn 0 0.0000 647 Flavius Isac 0 0.0000 647 Peter Crickman 0 0.0000 647 Mark Timbrell 0 0.0000 647 Yohann Richard 0 0.0000 647 Maurus Balmer 0 0.0000 647 Thomas J. Engelsma 0 0.0000 647 Bo Planck Møller 0 0.0000 647 Tomas Farken 0 0.0000 647 Achim Schaefer 0 0.0000 647 Bhagwandas Jogibhai 0 0.0000 647 William Dean 0 0.0000 647 Victor Felder 0 0.0000 647 Donovan Johnson 0 0.0000 647 Ronnie Gene Gragg 0 0.0000 647 Kevin P Erickson 0 0.0000 647 Bruce Beauregard 0 0.0000 647 David M. L. Karl 0 0.0000 647 Tony Galvan 0 0.0000 647 Juha Touru 0 0.0000 647 Jason Earls 0 0.0000 647 Giles Averay-Jones 0 0.0000 647 Henry Hamilton 0 0.0000 647 Masanori Hirotomo 0 0.0000 647 Bob Tonson 0 0.0000 647 Jason Clark 0 0.0000 647 Kevin Gandriau 0 0.0000 647 Mariusz Szydlik 0 0.0000 647 Scott R. Anderson 0 0.0000 647 Alexander Becker 0 0.0000 647 Randy Wilson 0 0.0000 647 K Adams 0 0.0000 647 Jan Svensson 0 0.0000 647 Mark Simpson 0 0.0000 647 Derek Parry 0 0.0000 647 David Hillis 0 0.0000 647 Tracy Green 0 0.0000 647 Dieter Stoll 0 0.0000 647 Steve Chester 0 0.0000 647 Sirko Rosenberg 0 0.0000 647 Alessandro Mandelli 0 0.0000 647 David Thaw 0 0.0000 647 Mitsuhiro Endo 0 0.0000 647 Christian Mandery 0 0.0000 647 Thomas Leranth 0 0.0000 647 Martin Weil 0 0.0000 647 John Michael Blazek 0 0.0000 647 Vasileios Modes 0 0.0000 647 Martin Seinsche 0 0.0000 647 James Huddleston 0 0.0000 647 Christian Beaumet 0 0.0000 647 Christian Weibel 0 0.0000 647 Leon Riddle 0 0.0000 647 David Henderson 0 0.0000 647 Tetsuya Matsushita 0 0.0000 647 Thomas Frase 0 0.0000 647 Jay Miller 0 0.0000 647 Jocelyn Larouche 0 0.0000 647 Scott Hutchison 0 0.0000 647 Jesús Moreno 0 0.0000 647 Kai Kowitzke 0 0.0000 647 Birgit Guder 0 0.0000 647 Bjoern Henke 0 0.0000 647 Daval Davis 0 0.0000 647 Saito Manabu 0 0.0000 647 Takanori Morinaga 0 0.0000 647 Jari Pyyluoma 0 0.0000 647 Rory Smith 0 0.0000 647 Werner Soika 0 0.0000 647 Alan Jung 0 0.0000 647 V.M.Ulyanov 0 0.0000 647 Philip Englehard 0 0.0000 647 Andrew Barrett 0 0.0000 647 Alexander Rydekull 0 0.0000 647 Peter Field 0 0.0000 647 Michael Hampicke 0 0.0000 647 FDCPS Contributors 0 0.0000 647 Radoslaw Trzeciecki 0 0.0000 647 Olaf Liebe 0 0.0000 647 Raphaël Povéda 0 0.0000 647 Christoph Pfeiffer 0 0.0000 647 Natalie Johnson 0 0.0000 647 Sébastien Pradas 0 0.0000 647 Jean-Paul Craff 0 0.0000 647 Damien Rondeau 0 0.0000 647 Steffen Babetzky 0 0.0000 647 Mr. Mark Livingstone JP(Qual) 0 0.0000 647 Andy Rawling 0 0.0000 647 Gary Suter 0 0.0000 647 Dr Anthony Holloway 0 0.0000 647 Marc Tirapelle 0 0.0000 647 Frank Laurijssens 0 0.0000 647 Jorden VanderElst 0 0.0000 647 John M. Johnson 0 0.0000 647 Andrew J. Rupinski 0 0.0000 647 William F. Garnett III 0 0.0000 647 R.A. Twain 0 0.0000 647 Eric Eisenmann 0 0.0000 647 István Papp 0 0.0000 647 Preben Bertelsen 0 0.0000 647 Kathryn Marks 0 0.0000 647 Mario Müller 0 0.0000 647 Evandro Menezes 0 0.0000 647 Ashish Vora 0 0.0000 647 Bert Doorn 0 0.0000 647 Georg Schirwitz 0 0.0000 647 Robert Kaehler 0 0.0000 647 Jan Ziersch 0 0.0000 647 Werner Hess 0 0.0000 647 Detmar Wenzel 0 0.0000 647 Matthew Hill 0 0.0000 647 Jonathan Hawryluk 0 0.0000 647 Jan Heimpold 0 0.0000 647 Janusz Szmidt 0 0.0000 647 Dave Cuddington 0 0.0000 647 Göran Axelsson 0 0.0000 647 Nicolas Alvarez 0 0.0000 647 Boris Platzer 0 0.0000 647 Steven Nikkel 0 0.0000 647 Patrick Pirson 0 0.0000 647 Werner Durandi 0 0.0000 647 Christian Hercher 0 0.0000 647 Kenneth Egtved Pedersen 0 0.0000 647 Andrew Walker 0 0.0000 647 Kenneth M Crawford 0 0.0000 647 Peter JH Dodson 0 0.0000 647 Drew Stovall 0 0.0000 647 Jelle De Vreese 0 0.0000 647 Robert Ensgraber 0 0.0000 647 William Stott 0 0.0000 647 A. Scott Henderson 0 0.0000 647 Richard T. Walraven 0 0.0000 647 Ed English 0 0.0000 647 Ant Sluijter 0 0.0000 647 Chris Triplett 0 0.0000 647 Dave Pickles 0 0.0000 647 Stephan Brunek 0 0.0000 647 Bengt-Åke Johansson 0 0.0000 647 Ivaylo Iliev Atanasov 0 0.0000 647 Christian Sprafke 0 0.0000 647 Nicolas Freres 0 0.0000 647 Michael Rottluff 0 0.0000 647 Tim Schmeiser 0 0.0000 647 Peter Boulay 0 0.0000 647 Dusan Vykouril 0 0.0000 647 John Vandenberg 0 0.0000 647 David Rayment 0 0.0000 647 Martin Bron 0 0.0000 647 Peter Daniel Dimmick 0 0.0000 647 Adam Manzer 0 0.0000 647 Wim Korhorn 0 0.0000 647 JF Boyer 0 0.0000 647 Kouichi Asao 0 0.0000 647 Lew Baxter 0 0.0000 647 Jared Smith-Mickelson 0 0.0000 647 Martin Kladny 0 0.0000 647 Mateusz Pabis 0 0.0000 647 Eran Navon 0 0.0000 647 Eric Da Sylva 0 0.0000 647 David Terr 0 0.0000 647 Alexander O. Anisimov 0 0.0000 647 Brian Malone 0 0.0000 647 Sergejs Janulonoks 0 0.0000 647 Philip Volkes 0 0.0000 647 Agustín DallAlba 0 0.0000 647 Dajgoro Labinac 0 0.0000 647 Rami Hochenbaum 0 0.0000 647 Christopher Smith 0 0.0000 647 Tim Frost 0 0.0000 647 Dean Cashen 0 0.0000 647 Michal Szostak 0 0.0000 647 Dan Lee 0 0.0000 647 Christos Vassiladiotis 0 0.0000 647 Benjamin Sklar 0 0.0000 647 Piotr Skorski 0 0.0000 647 Jonnie Arai 0 0.0000 647 Dean Loros 0 0.0000 647 Ian Upham 0 0.0000 647 William Walker 0 0.0000 647 Olivier Tarnus 0 0.0000 647 Nick Schradick 0 0.0000 647 Bob Kuehne 0 0.0000 647 Mats Karlsson 0 0.0000 647 Zoltan Kemenes 0 0.0000 647 Péter Proszenyák 0 0.0000 647 Chris La Marra 0 0.0000 647 Geoff Westphal 0 0.0000 647 Iury Benevelli 0 0.0000 647 Björn Guth 0 0.0000 647 Rob Pont 0 0.0000 647 Steven R. Shapiro 0 0.0000 647 Andrea Cremaschi 0 0.0000 647 Arne Helander 0 0.0000 647 Ben Fries 0 0.0000 647 Sascha Martin 0 0.0000 647 Scott Wilder 0 0.0000 647 Tristan A. Hearn 0 0.0000 647 Martin Hudlicka 0 0.0000 647 Brady Heigaard 0 0.0000 647 Donal Maguire 0 0.0000 647 Carsten Hartwig 0 0.0000 647 Noritaka Iwata 0 0.0000 647 Andrea Pacini 0 0.0000 647 Philip W. Smith 0 0.0000 647 Jo Yeong Uk 0 0.0000 647 Christian Nilsson 0 0.0000 647 Jeff Wolfe 0 0.0000 647 Charles H (Chuck) Lasher 0 0.0000 647 Alexander Postika 0 0.0000 647 Adrian Jimenez 0 0.0000 647 Jim Buddenhagen 0 0.0000 647 Tatsuya Takahashi 0 0.0000 647 Jakub Uvira 0 0.0000 647 David Duvall 0 0.0000 647 Daniel Blake 0 0.0000 647 Tom Flowers 0 0.0000 647 Michał Kamiński 0 0.0000 647 Juergen Kampmeier 0 0.0000 647 Dennis Mueller 0 0.0000 647 Ronny Willig 0 0.0000 647 Patrick Gervais 0 0.0000 647 Ben Baker 0 0.0000 647 Oliver Hinken 0 0.0000 647 Gerald T. Richards 0 0.0000 647 Torsten Schroeder 0 0.0000 647 David John Adams 0 0.0000 647 Mark I Williams 0 0.0000 647 Paul Hodges 0 0.0000 647 Jonathan Pinyan 0 0.0000 647 Damian Peter Shaw 0 0.0000 647 John Deneer 0 0.0000 647 Leotti Romain 0 0.0000 647 Rafael Hens Lopez 0 0.0000 647 Minas Rassoulis 0 0.0000 647 Stefano D'Urso 0 0.0000 647 Ian S Drugmand 0 0.0000 647 Stefan Rausch 0 0.0000 647 Sean Matheis 0 0.0000 647 Samuel D. Leonard 0 0.0000 647 Christopher J Phelps 0 0.0000 647 Mr. José A. Izquierdo 0 0.0000 647 Juraj Borza 0 0.0000 647 Steffen Grundmann 0 0.0000 647 Lars Kusserow 0 0.0000 647 Nebojsa Bajramovic 0 0.0000 647 Joel Hopper 0 0.0000 647 David Blaschke 0 0.0000 647 Jayson R. King 0 0.0000 647 Tom Hadley 0 0.0000 647 Juraj Holtak 0 0.0000 647 Sander Hoogendoorn 0 0.0000 647 Dmitry Bodyagin 0 0.0000 647 Kazuyoshi Asao 0 0.0000 647 Guido Smetrijns 0 0.0000 647 Tyler Cadigan 0 0.0000 647 David Harrison 0 0.0000 647 Bruno DallOsto 0 0.0000 647 Michael B. Porter 0 0.0000 647 Hiroki Sugawara 0 0.0000 647 Jean-Christophe Lambry 0 0.0000 647 Henri Lifchitz 0 0.0000 647 Ronny Edler 0 0.0000 647 László Takács 0 0.0000 647 Balázs Szabó 0 0.0000 647 Tony Forbes 0 0.0000 647 Bruce Ziemienski 0 0.0000 647 Matt Mills 0 0.0000 647 Brian Ball 0 0.0000 647 Joshua David Addington 0 0.0000 647 Jeremy A. Rouse 0 0.0000 647 Didier Boivin 0 0.0000 647 Marc Lauzon 0 0.0000 647 Johannes Leicht 0 0.0000 647 Eduard Kostolansky 0 0.0000 647 Sean Sullivan 0 0.0000 647 Richard Seddon 0 0.0000 647 Helmut Zeisel 0 0.0000 647 Michael Ian Hartley 0 0.0000 647 Peter R. Sirl 0 0.0000 647 Tim Nikkel 0 0.0000 647 Brian J. Beesley 0 0.0000 647 José Luis Poveda Galdrán 0 0.0000 647 David Olson 0 0.0000 647 Werner Pasternak 0 0.0000 647 Rodney Marshall 0 0.0000 647 Sheldon Jolson 0 0.0000 647 Jean-Loup Saladin 0 0.0000 647 Steve Groom 0 0.0000 647 Bernard Pierre 0 0.0000 647 Michael Keil 0 0.0000 647 Wade Cazabat 0 0.0000 647 Chris Preedy 0 0.0000 647 Kenneth A. Warner 0 0.0000 647 Eric Kne 0 0.0000 647 Mike Schulz 0 0.0000 647 Rafal Stanek 0 0.0000 647 Michael Conmackie 0 0.0000 647 Chang-Chun, Lee 0 0.0000 647 Michael Heca 0 0.0000 647 Stan Pleban 0 0.0000 647 Dan Baxter 0 0.0000 647 Lennart Meyer 0 0.0000 647 Chung Ming Wong 0 0.0000 647 Der Meister 0 0.0000 647 John Bradford 0 0.0000 647 Travis J. Taylor 0 0.0000 647 Stephen Marwick 0 0.0000 647 Arne Sielemann 0 0.0000 647 Leigh Jamgochian 0 0.0000 647 Aki Greus 0 0.0000 647 Patrick Bailly 0 0.0000 647 Simon Kingsley 0 0.0000 647 Mathias Österdahl 0 0.0000 647 Bartlett Henderson 0 0.0000 647 Benoit Fauve 0 0.0000 647 Marco Baumann 0 0.0000 647 Jeremy Groves 0 0.0000 647 Ricardo Fraga 0 0.0000 647 Will Oram 0 0.0000 647 David Qi 0 0.0000 647 Michael Tracy 0 0.0000 647 Oliver McDonald 0 0.0000 647 Simon Walker 0 0.0000 647 Stuart Gibbons 0 0.0000 647 Marcel Penstorf 0 0.0000 647 Aaron Lau 0 0.0000 647 Joachim Nönnig 0 0.0000 647 Francesco Balducci 0 0.0000 647 Renato Michelis 0 0.0000 647 Daniele Casale 0 0.0000 647 Nicholas Thornton 0 0.0000 647 Dwayne Sterling Roberts 0 0.0000 647 Bruce Field 0 0.0000 647 Robin Weezepoel 0 0.0000 647 Jason Lynch 0 0.0000 647 Jeffrey Flower 0 0.0000 647 Alan Taylor 0 0.0000 647 Robert Dennis 0 0.0000 647 Jeffrey Dungan 0 0.0000 647 Daniel Queißer 0 0.0000 647 Roald Solbjørg 0 0.0000 647 Nico Van de Sande 0 0.0000 647 William Howard 0 0.0000 647 Thierry Drumel 0 0.0000 647 Michael Neff 0 0.0000 647 Krystof Touska 0 0.0000 647 Aldis Poznaks 0 0.0000 647 Christofer Paz de Oliveira 0 0.0000 647 Maarten Smeyers 0 0.0000 647 Steffen Fiebrig 0 0.0000 647 Dan Potter 0 0.0000 647 Chris Wilson 0 0.0000 647 Cormac Doyle 0 0.0000 647 Aitor Ruiz de Samaniego 0 0.0000 647 Andrew Lott 0 0.0000 647 Fredrik Erlandsson 0 0.0000 647 Dimitris Makris 0 0.0000 647 Derek Rutherford 0 0.0000 647 Scott Nicholls 0 0.0000 647 Michelle Oliver 0 0.0000 647 Sam Law 0 0.0000 647 Adam Jackson 0 0.0000 647 Dan Martin 0 0.0000 647 James Stephen Hopson 0 0.0000 647 Neil Stuart 0 0.0000 647 Gerald Fischer 0 0.0000 647 Christian Hilberath 0 0.0000 647 Simon Fisher 0 0.0000 647 Torsten Kiebs 0 0.0000 647 Richard Clark 0 0.0000 647 Michael Thompson 0 0.0000 647 Renee McShane 0 0.0000 647 Sandro Tosi 0 0.0000 647 Annett David 0 0.0000 647 Jan Trautmann 0 0.0000 647 Maurice Goulois 0 0.0000 647 Justas Puodziunas 0 0.0000 647 Bryan O'Shea 0 0.0000 647 John Rowlands 0 0.0000 647 Balázs Szabó 0 0.0000 647 John Santiago-Wile 0 0.0000 647 Jonathan Braxton 0 0.0000 647 Stéphanie Rouquette-Léveil 0 0.0000 647 Jarno Culhane 0 0.0000 647 Pierre Moutoussamy 0 0.0000 647 Frank Wunderlich 0 0.0000 647 Papp Gergely 0 0.0000 647 Guillaume Délon 0 0.0000 647 Edward C. Otto III 0 0.0000 647 David Sutton 0 0.0000 647 Lewis Edwards 0 0.0000 647 Claude Gerald 0 0.0000 647 S. Starbuck 0 0.0000 647 Neil Polson 0 0.0000 647 Paul Armijo 0 0.0000 647 Elias Sajo 0 0.0000 647 Johannes Nüßle 0 0.0000 647 Johann Neudecker 0 0.0000 647 Mark Wijzenbroek 0 0.0000 647 Gary J Cunningham 0 0.0000 647 Roy van Rijn 0 0.0000 647 Joseph McLean 0 0.0000 647 Michael Hannigan 0 0.0000 647 Kirk Pearson 0 0.0000 647 Michael Sobolewski 0 0.0000 647 Harvey Seargeant 0 0.0000 647 Peter Shaw 0 0.0000 647 Lars A Carlen 0 0.0000 647 Mikael Klasson 0 0.0000 647 Jon Graham 0 0.0000 647 Renaud Lifchitz 0 0.0000 647 Mark R. Coffey 0 0.0000 647 B. H. Zhan 0 0.0000 647 Ray G. Opao 0 0.0000 647 Ole Kirkeby 0 0.0000 647 Marc Castagne 0 0.0000 647 Anja Zahn 0 0.0000 647 David E. Lancaster 0 0.0000 647 Samuli Larvala 0 0.0000 647 Lelio Ribeiro de Paula 0 0.0000 647 Harald Ritter 0 0.0000 647 David Kokales 0 0.0000 647 Frank Bleich 0 0.0000 647 Jason Fraser 0 0.0000 647 Lee Stephens 0 0.0000 647 Stephane Roth 0 0.0000 647 Jose Manuel Plaza 0 0.0000 647 Reinhard F. Stenzel 0 0.0000 647 Michael Keppler 0 0.0000 647 Jukka Santala 0 0.0000 647 Roberto E. Martinez II 0 0.0000 647 Rafal Stanilewicz 0 0.0000 647 Thom Adams 0 0.0000 647 Rachel Lewis 0 0.0000 647 Skip Key 0 0.0000 647 Milton L. Brown 0 0.0000 647 Max Bennedich 0 0.0000 647 Nathan F. Russell 0 0.0000 647 Roberto Botrugno 0 0.0000 647 Tamer Güvenc 0 0.0000 647 Kay Schoenberger 0 0.0000 647 James Dean Jenkins 0 0.0000 647 Luke Gustafson 0 0.0000 647 Heath Gerhardt 0 0.0000 647 Giovanni La Barbera 0 0.0000 647 Joe Eversole 0 0.0000 647 Wolfgang Elsner 0 0.0000 647 Peter A. Rogerson 0 0.0000 647 Chun Wa Lau 0 0.0000 647 Mark D. Turner 0 0.0000 647 Steffen Polster 0 0.0000 647 Ian Hicks 0 0.0000 647 Peter Hicks 0 0.0000 647 Fumitaka Yura 0 0.0000 647 Karl-Heinz Indlekofer 0 0.0000 647 Heinz-Georg Wassing 0 0.0000 647 Andres Aitsen 0 0.0000 647 Morris Cox 0 0.0000 647 V.S. Wighman 0 0.0000 647 Marc Thibeault 0 0.0000 647 David A. Miller 0 0.0000 647 R.H. vanderPeijl 0 0.0000 647 Polly T. Wang 0 0.0000 647 Orkun Tuncay 0 0.0000 647 Takuro Tsujikawa 0 0.0000 647 Mark Alfonso 0 0.0000 647 Daniel C. McCann 0 0.0000 647 Richard D Parry Jr 0 0.0000 647 Meng-Hsuan Wu 0 0.0000 647 Margus Sõmer 0 0.0000 647 Marc Liddell 0 0.0000 647 Robert L. Clark 0 0.0000 647 James Carpenter 0 0.0000 647 Dick Boland 0 0.0000 647 Robert Prethaler 0 0.0000 647 Wendy Hecate Hartman 0 0.0000 647 Jason T. Gmoser 0 0.0000 647 Tom Shaw 0 0.0000 647 Charles F. Kerchner III 0 0.0000 647 Maciej Piotr Ulas 0 0.0000 647 Jan Buda 0 0.0000 647 Michael J Graef 0 0.0000 647 Arvind Narayanan 0 0.0000 647 Frank Schickel 0 0.0000 647 Sébastien Desnault 0 0.0000 647 Olivier Dodinval 0 0.0000 647 Diego Rattaggi 0 0.0000 647 Seymor Turgay 0 0.0000 647 Bryan McIntyre 0 0.0000 647 Steven John Knight 0 0.0000 647 Martin Krone 0 0.0000 647 Craig Kitchen 0 0.0000 647 Marco La Barbera 0 0.0000 647 Chris St.Clair 0 0.0000 647 Michael W. O'Brien 0 0.0000 647 Harrison R. Brown 0 0.0000 647 Jean-Yves Canart 0 0.0000 647 Dan M. P. Szczotka 0 0.0000 647 Robert Poling 0 0.0000 647 Craig Lewis 0 0.0000 647 Paul Leyland 0 0.0000 647 Alexis Nunes 0 0.0000 647 John Dyer 0 0.0000 647 Andrey V. Kulsha 0 0.0000 647 Jeffrey Heleen 0 0.0000 647 Timothy Brown 0 0.0000 647 Patrick Fossano 0 0.0000 647 Landon Curt Noll 0 0.0000 647 Fekadu A. Asghedom 0 0.0000 647 Sergio Zarantonello 0 0.0000 647 Joel Smith 0 0.0000 647 Bodo Parady 0 0.0000 647 Gene Smith 0 0.0000 647 John Brown 0 0.0000 647 Richard Jones 0 0.0000 647 Sang-Min Kim 0 0.0000 647 Alan W. Altman 0 0.0000 647 Andrew Davie 0 0.0000 647 Michal Misztal 0 0.0000 647 Guillermo J Colom 0 0.0000 647 Rodolfo Ruiz-Huidobro 0 0.0000 647 David Sheerin 0 0.0000 647 James Berwick 0 0.0000 647 Baptiste Heyman 0 0.0000 647 Iago L Camboa 0 0.0000 647 Don J. Routman 0 0.0000 647 Masato Misawa 0 0.0000 647 Michael A. Belessis 0 0.0000 647 Rick Marazzani 0 0.0000 647 Richard A. Quelle 0 0.0000 647 Amol Kapila 0 0.0000 647 Tobias Gustafsson 0 0.0000 647 Nils Blix 0 0.0000 647 Arthur Meunier 0 0.0000 647 S.R. Driggers 0 0.0000 647 Edwin Mons 0 0.0000 647 Jodie Forbes-Millott 0 0.0000 647 Alfredo Cano 0 0.0000 647 Gary Chaffey and Peter Shaw 0 0.0000 647 Jeremy Rouse, Gautam Thatte 0 0.0000 647 Jefferson M Wolski 0 0.0000 647 István Nagy 0 0.0000 647 Aaron Swihart 0 0.0000 647 Chris Becker 0 0.0000 647 Jan Munch Pedersen 0 0.0000 647 Gregory van Deventer 0 0.0000 647 Ulrich Thiel 0 0.0000 647 Fanis Matsoukas 0 0.0000 647 Alexander Tiountchik 0 0.0000 647 Kirk L. Shanks 0 0.0000 647 Anna Shefl 0 0.0000 647 Mathew James Cordell 0 0.0000 647 Warut Roonguthai 0 0.0000 647 Pierre Jammes 0 0.0000 647 Guillermo Ballester Valor 0 0.0000 647 Duncan A. Buell 0 0.0000 647 Nick Craig-Wood 0 0.0000 647 John D. DeCuir 0 0.0000 647 Pat Costello 0 0.0000 647 Ed Adamson 0 0.0000 647 Thomas Nokleby 0 0.0000 647 Christopher A. Florin 0 0.0000 647 Andrew J. Slodkiewicz 0 0.0000 647 Andrew Frazer 0 0.0000 647 Bradford James Brown 0 0.0000 647 Robert Kovacs 0 0.0000 647 Edward Brisse 0 0.0000 647 Oded Papish 0 0.0000 647 Paul Lamberth 0 0.0000 647 Chris Monico 0 0.0000 647 Stephen A. Wood 0 0.0000 647 Lorenzo Fortunato 0 0.0000 647 Steven Whitaker 0 0.0000 647 Phillip L. Poplin 0 0.0000 647 Mark Kneisler 0 0.0000 647 Kevin Carton 0 0.0000 647 Germano Gonzaga Lima do Vale Filho 0 0.0000 647 Bojan Antonovic 0 0.0000 647 Jason Alexander Zaruba 0 0.0000 647 Joseph Makram Mikhail 0 0.0000 647 Tallak Harald Breivik 0 0.0000 647 Brandon Galbraith 0 0.0000 647 Gerben Dirksen 0 0.0000 647 Christopher A. Frederick 0 0.0000 647 Rhesa Rozendaal 0 0.0000 647 Abel Braaksma 0 0.0000 647 Frank Davis 0 0.0000 647 Isaac Keslassy 0 0.0000 647 Martijn Olivier Tigchelaar 0 0.0000 647 Associazione Baudhaus + Lorenzo Fortunato 0 0.0000 647 J. K. Smith 0 0.0000 647 Katherine Guseva 0 0.0000 647 Harry L. Nelson 0 0.0000 647 Martin Eibl 0 0.0000 647 Ralph Wernsdorf 0 0.0000 647 Alexander Kruppa 0 0.0000 647 Conrad Curry 0 0.0000 647 Neil W. Rickert 0 0.0000 647 A. Oliver L. Atkin 0 0.0000 647 Markus Hiltbrunner 0 0.0000 647 Jose Luis Gomez Pardo 0 0.0000 647 Mattias Götling 0 0.0000 647 Tero Kivinen 0 0.0000 647 Richard Brent 0 0.0000 647 Eduardo Molina 0 0.0000 647 Bryant Tuckerman 0 0.0000 647 Laura A. Nickel 0 0.0000 647 Hiromi Suyama 0 0.0000 647 R. Eager 0 0.0000 647 Karl E. Wimmer 0 0.0000 647 Donald B. Gillies 0 0.0000 647 Peter Liaskovsky 0 0.0000 647 G. V. Cormack 0 0.0000 647 Walter Borho 0 0.0000 647 Jurgen Buhl 0 0.0000 647 Anders Björn 0 0.0000 647 Hans Riesel 0 0.0000 647 Theodore L. Burton 0 0.0000 647 Robert Baillie 0 0.0000 647 Gerhard Jaeschke 0 0.0000 647 Gary B. Gostin 0 0.0000 647 Alexander Hurwitz 0 0.0000

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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)).