Top person sorted by number of primes

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 531 Sean A. Irvine 1.7 36.4050 532 Antal Járai 1.6 39.0116 532 Gabor Farkas 1.6 39.0116 534 Thomas Masser 1.5 46.8848 534 Mathew Steine 1.5 34.8306 534 David Slowinski 1.5 43.3764 534 Paul Gage 1.5 43.3764 538 Nuutti Kuosa 1.3333 40.2057 539 János Kasza 1.2 38.6427 539 Timea Csajbok 1.2 38.6427 539 Zoltán Járai 1.2 38.6427 542 Jared Asuncion 1.1667 35.8656 542 Bill Allombert 1.1667 35.8656 544 Tadashi Taura 1 45.7221 544 Ray Ballinger 1 36.9557 544 Stephen Scott 1 47.0636 544 Yves Gallot 1 45.7691 544 Mark Anderson 1 45.2857 544 Douglas B. McKay 1 46.6983 544 Keith Klahn 1 39.5652 544 Bart Kus 1 45.0576 544 Patrick W. McKibbon 1 46.6906 544 Adam Sutton 1 45.6121 544 Amy Chambers 1 46.7646 544 Dennis Okon 1 46.4137 544 Kevin Tatterson 1 45.2415 544 Reto Keiser 1 46.6331 544 Gil Emery 1 45.0240 544 Michel Johnson 1 47.7877 544 Uwe Senftleben 1 45.1238 544 Joerg Steinmetz 1 46.7585 544 Timothy Sorbera 1 47.5331 544 Shusuke Kubota 1 27.4671 544 Bernardo Boncompagni 1 31.6581 544 Brian Carpenter 1 45.8888 544 Jeff Webster 1 45.8599 544 Paul van den Berg 1 46.8706 544 Andrei Ryjkov 1 45.1792 544 Peter Crickman 1 45.5485 544 Matthew K Williams 1 46.1723 544 Anand S Nair 1 45.2213 544 Magnus Bergman 1 48.7753 544 Bartlett Henderson 1 45.1993 544 Ben Rhodes 1 45.0228 544 Ron Jones 1 45.1399 544 Peter Riesen 1 47.9390 544 Kennichi Uehara 1 46.9093 544 Lasse Mejling Andersen 1 45.0970 544 Sami Heikkila 1 46.6338 544 Eunseok Oh 1 45.1241 544 Andri Martinelli 1 46.8976 544 Rodger M. Ewing 1 45.8362 544 Choi Yooil 1 45.7509 544 Konstantin Manz 1 46.8547 544 Lars Dausch 1 45.2494 544 Peter Tibbott 1 46.8693 544 David Stevens 1 45.0365 544 Kevin O'Hare 1 37.1238 544 Michael Stocker 1 29.0369 544 Eirik Lunner 1 45.3516 544 Ulrich Hartel 1 45.4949 544 Charles Morton 1 45.0943 544 Boris Iskra 1 42.9211 544 Samuel Williams 1 46.8970 544 Phil Lachance 1 46.1517 544 Travis Parker 1 45.6241 544 Dirk Dhuyvetters 1 46.6678 544 Simeon I. B. Ayeni 1 45.9095 544 Gerald C. Snyder 1 46.1261 544 Dhumil Zaveri 1 45.9273 544 Julius Noltensmeier 1 45.4324 544 Ernst Fluttert 1 45.4250 544 Alexey Tarasov 1 47.0228 544 John T Marshall 1 46.6003 544 Masumi Hamada 1 45.4570 544 Stefan Wakolbinger 1 45.4917 544 Japke Rosink 1 45.5511 544 Anthony Templin 1 48.7142 544 Anthony Ayiomamitis 1 46.7902 544 Lee Stephens 1 46.1825 544 John R. Bailey 1 46.7284 544 Heinz Durstewitz 1 46.0667 544 Aleksander Makowski 1 45.4896 544 Manfred Toplic 1 41.7008 544 Michael Richard Eaton 1 42.8233 544 Brett Melvold 1 46.7989 544 Zoltan Kemenes 1 48.5835 544 Jan Kumsta 1 46.6663 544 Sou Fukui 1 46.6813 544 Phillip L. Poplin 1 45.8984 544 Ward De Ridder 1 45.5840 544 Jozsef Schmidt 1 45.3414 544 Jeff Javens 1 46.8296 544 Philippe G. Goossens 1 46.4296 544 Devlin Skahill 1 46.7186 544 Eugeny Mamonov 1 46.7068 544 Karl Josef Tonner 1 45.8328 544 Guillaume Tardy 1 45.4443 544 John Fleischman 1 46.7550 544 Leon Bird 1 46.6330 544 Billy Cain 1 45.5102 544 Vincent Ollivier 1 45.5316 544 Václav Vinklát 1 45.4103 544 Huiwon Kim 1 47.5087 544 Dario Canossi 1 46.7011 544 Sebastian Rädle 1 45.6133 544 Karel Benes 1 45.1527 544 Lonnie Christensen 1 45.1057 544 Gergely Papp 1 45.0239 544 Joachim Sander 1 43.7287 544 Michael Herder 1 48.9335 544 Sam Slade 1 46.8424 544 Guillaume Laurent 1 46.7586 544 Stefan Lichtenwimmer 1 46.7682 544 Hirofumi Tamagawa 1 45.0801 544 Simon Geis 1 45.2251 544 Gen Hayase 1 45.0330 544 Matt Zilmer 1 43.3829 544 David Mumper 1 48.4921 544 Jan Haller 1 48.1783 544 Franz-Xaver Harvanek 1 47.4248 544 Steve Dodd 1 46.7382 544 Bastian Gauch 1 46.7110 544 Andrei Piaive 1 46.6646 544 David Walling 1 46.8464 544 Sascha Thorsten Dietsch 1 47.1075 544 Fabrice Le Foulher 1 46.8541 544 Jared Brandt 1 46.3671 544 Rob Derrera 1 44.1799 544 Cesare Marini 1 50.3029 544 Chris Howell 1 48.8827 544 James Jayaputera 1 47.6535 544 Al McAdams 1 46.8288 544 William Finn 1 46.8514 544 Ed Dugger 1 46.7080 544 Michal Tatárka 1 46.6412 544 Patrick Martin 1 46.6782 544 Riley Fisher 1 45.0217 544 Rick Smith 1 46.5614 544 Bryan Ferrell 1 45.1900 544 David Abrahmi 1 43.7287 544 Sander Kõluvere 1 44.7942 544 Mark Brittenham 1 45.0856 544 Masashi Kumagai 1 49.9772 544 Wolfgang Becker 1 47.8680 544 Ignacio Nebreda Junghans 1 46.8986 544 Leblanc David 1 46.6709 544 George Burtner 1 46.8861 544 Kai Ylijoki 1 46.9031 544 Masato Furushima 1 46.7778 544 Gilbert Kalus 1 46.6551 544 Klaus Gundermann 1 46.6958 544 Jacques Haymoz 1 45.2046 544 Stefan Dragnev 1 46.1147 544 Timo Schneider 1 46.0196 544 Marcel Out 1 45.5437 544 Pavel Pelikan 1 45.0760 544 Henryk Jeka 1 45.2949 544 Yang Liu 1 45.1311 544 Ben F. Nelson 1 45.3054 544 Joseph Marshall 1 45.1166 544 Howard Gordon 1 48.2938 544 David Tomecko 1 47.8758 544 Nicholas Mohacsy 1 47.4252 544 Robbie Klinkenberg 1 46.8915 544 Jakub Łuszczek 1 47.0494 544 Dongyan Jia 1 46.5935 544 Fred Zuschlag 1 46.2058 544 Timothy Reichard 1 46.6584 544 James Breslin 1 46.6359 544 Dave Pickles 1 46.7312 544 Tim Ranch 1 46.5517 544 Jim Wilkins 1 46.4658 544 Chika Yamamoto 1 46.3151 544 Henning Busacker 1 46.1842 544 Florian Leudesdorff 1 45.6395 544 Alessandro Puppi 1 45.4405 544 Michael H.W. Weber 1 45.6436 544 Wentao Huang 1 45.1104 544 Lawrence Mahan 1 45.4184 544 Michael E. Jones 1 45.9105 544 Martin Megele 1 45.1156 544 Yuma Hayashi 1 45.0172 544 Hugh C. Williams 1 25.5128 544 Sturle Sunde 1 48.9324 544 Eric Liskay 1 47.4781 544 Norbert Schneider 1 46.8749 544 Brian Smith 1 46.9967 544 Jerry Lin 1 46.7809 544 Matthew J Thompson 1 47.0073 544 Marc Monnin 1 46.6330 544 Pavel Belolipetskiy 1 46.6757 544 Ryan Dark 1 46.5983 544 Jace Tyndall 1 46.5865 544 Philipp Schulz 1 46.5238 544 Eli Weiss 1 46.4520 544 Bernd Mollerus 1 46.6852 544 Claudius Dräger 1 46.3302 544 Howard Abbey 1 46.3230 544 Brent Thorson 1 46.2297 544 Stephanie Smith 1 46.1291 544 Art Charette 1 46.3863 544 Dirk Kraemer 1 46.3903 544 Nick Athanas 1 46.1227 544 Ryan English 1 46.1037 544 Ralf Graeber 1 45.6291 544 Charlie Heath 1 46.0136 544 Peter M Fahlenkamp 1 45.5193 544 Brad Johnston 1 45.5218 544 Karyn WaldenForrest 1 45.3247 544 Erik Rietveld 1 45.2074 544 Martin Linderson 1 45.1516 544 Sven B Larsson 1 45.0258 544 Ben Maloney 1 52.0371 544 Peyton Hayslette 1 49.8982 544 Igor Karpenko 1 49.4585 544 Lleyton Joseph 1 48.6833 544 Jaakko Reinman 1 47.4468 544 W. Walter Fergusson 1 46.8794 544 Antti Henriksson 1 46.8901 544 Zhuowen Zhang 1 46.8510 544 Greg Lobring 1 46.8120 544 Xinle Song 1 46.7752 544 MaikeSophie Mittelstädt 1 46.7417 544 Toon Pistorius 1 46.7518 544 Dan Lawson 1 46.6652 544 Michael Hampicke 1 46.8415 544 István Jónás 1 46.6511 544 Lukas Jaros 1 46.6841 544 Vaclav Koci 1 46.7163 544 Warach Veeranonchai 1 46.5114 544 David E. Miller 1 46.6353 544 Michael Ruber 1 46.3226 544 Jonathan Bubloski 1 46.2555 544 Lucia White 1 45.8803 544 Pavel Štěpnička 1 45.7992 544 Vladimir Romanov 1 45.4109 544 Evan Ziemann 1 45.4381 544 Oliver Rasp 1 45.6895 544 Dennis Mull 1 45.6960 544 Matt Lee 1 45.6331 544 Nayuta Ito 1 45.4355 544 Victor DiMichina 1 45.0128 544 Yasuhito Suzuki 1 45.4483 544 Katsumi Hirai 1 45.6453 544 Hyacinthe Cartiaux 1 45.0211 544 Jean Schmalen 1 45.5408 544 Dirk Gudenschwager 1 45.2934 544 Andreas Papendick 1 45.1604 544 Pavel Bednar 1 45.1850 544 Ričardas Lukoševičius 1 45.0206 544 Yair Givoni 1 50.3617 544 Jiri Jaros 1 48.8448 544 Michael Garrison 1 48.7423 544 Shihan Zhao 1 48.6692 544 Raphaël Gervais Lavoie 1 47.4921 544 Davide Bressani 1 47.4636 544 Wei Wei 1 47.1911 544 Rashid Naimi 1 47.1258 544 Jean-Loup Saladin 1 47.1699 544 Bruce Rindahl 1 46.8982 544 Ken Totty 1 46.8971 544 Joshua Morgan 1 46.8729 544 Zizhe Wang 1 46.8646 544 Bartłomiej Kobrzyński 1 46.8636 544 Kari Hyvönen 1 46.8591 544 Manuel Stenschke 1 46.8519 544 Joseph Wang 1 46.8634 544 Jack Sloan 1 46.8275 544 Kotaro Osada 1 46.7868 544 Michael Russell 1 46.7801 544 Valentin Noxe 1 46.7569 544 Nicolas Philip 1 46.8905 544 Paul York 1 46.7456 544 Ladislav Koudelka 1 46.7546 544 Chris Hoefliger 1 46.8188 544 Andrew R. Booker 1 46.7434 544 Jonathan Floyd 1 46.7096 544 Naoki Yoshioka 1 46.7813 544 Juan C. Toledo 1 46.7472 544 Nils Kreth 1 46.6845 544 Matthew Lowe 1 46.6727 544 John Christy 1 46.7004 544 Don Johnson 1 46.6582 544 Christian Einvik 1 46.7313 544 Martin Nielsen 1 46.7109 544 Andrei Okhrimouk 1 46.6508 544 Jaap Rijfers 1 46.4413 544 Steven Schapendonk 1 46.3773 544 Michael Thanry 1 46.3007 544 Roland Clarkson 1 46.3420 544 John Jacobs 1 46.1498 544 Yoshiharu Ogata 1 45.9841 544 Jonathan Connaughty 1 45.7752 544 Scott Bedenbaugh 1 45.6741 544 Andrea Pacini 1 45.8130 544 Ken Preston 1 45.0209 544 Aris Seisums 1 45.4758 544 Thomas Kelley 1 45.0156 544 Nezumi Tarou 1 45.1365 544 Davide Oddone 1 45.3975 544 José Andrade 1 45.0200 544 Jara Cimrman 1 45.1643 544 Takeshi Matsuda 1 45.2820 544 John Taylor 1 45.2694 544 T. S. Kim 1 45.1761 544 Milos Hudec 1 45.0877 544 Georg Amschl 1 45.0802 544 Chaichontat Sriworarat 1 45.0461 544 Satoshi Sasaki 1 45.1108 544 Jean Pierre Gournay 1 45.0256 544 Peter Doggart 1 44.5483 544 Mikhail Karevik 1 44.5214 544 Kebbaj Mohamed Reda 1 42.7599 544 Robert Boniecki 1 42.6428 544 Jeroen Doumen 1 34.8314 544 Peter Beelen 1 34.8314 544 Patrick Laroche 1 56.4714 544 Jonathan (Jon) Pace 1 56.2664 544 Edson Smith 1 54.4841 544 Odd Magnar Strindmo 1 54.4507 544 Hans-Michael Elvenich 1 54.0294 544 Steven R. Boone 1 53.5273 544 Péter Szabolcs 1 53.4922 544 Dr. Martin Nowak 1 52.9330 544 Josh Findley 1 52.6968 544 Kazuya Tanaka 1 52.4136 544 Michael Shafer 1 52.2829 544 Diego Bertolotti 1 51.6397 544 Michael Cameron 1 50.9234 544 Konstantin Agafonov 1 50.8197 544 Michael Schulz 1 50.5434 544 Karsten Klopffleisch 1 50.5009 544 Serhiy Gushchak 1 50.4356 544 Tim McArdle 1 49.9091 544 Patrice Salah 1 49.7436 544 Lukas Plätz 1 49.3703 544 Ars Technica Team Prime Rib 1 49.2624 544 Denis Iakovlev 1 48.9974 544 Martin Vanc 1 48.9657 544 Nayan Hajratwala 1 48.9067 544 Wei Tang 1 48.7421 544 John Bodlina 1 48.6946 544 Shaun Stewart 1 48.6757 544 James Elmore 1 48.6722 544 Dieter Börgerding 1 48.6667 544 Vladimir Volynsky 1 48.6527 544 Dennis R. Gesker 1 48.6097 544 Jacob Eikelenboom 1 48.4840 544 Yoshimitsu Kato 1 48.4773 544 Jiří Bočan 1 48.3935 544 Martyn Elvy 1 48.3296 544 Tsuyoshi Ohsugi 1 48.1767 544 Samuel VISCAPI 1 48.1273 544 Andy Brady 1 47.9373 544 Randy Sundquist 1 47.9205 544 Karl Burridge 1 47.8753 544 André Ahlfors Dahl 1 47.8283 544 Toshitaka Kumagai 1 47.7806 544 Sanghyeok Lee 1 47.7592 544 Marian Brockerhoff 1 47.6942 544 Martin Garnier 1 47.6485 544 Jack Harris 1 47.5862 544 Angus Basil 1 47.5590 544 Michael Oppliger 1 47.5029 544 Dylan Bennett 1 47.3783 544 Timothy D. Dickey 1 47.1051 544 Galih Santosa 1 47.0887 544 Homero Pieritz 1 47.0466 544 Timothy Yarham 1 47.0400 544 Vitor Amorim 1 46.9637 544 Erik Veit 1 46.9266 544 Sylvain Laboisne 1 46.9245 544 Alex Hogan 1 46.9144 544 Paul Bruner 1 46.9120 544 Christopher Chaney 1 46.9081 544 Jackson Overstreet 1 46.9071 544 James Wolfe 1 46.9026 544 Philippe Desbonnet 1 46.8984 544 Chris Cardall 1 46.8877 544 Joerg Sanner 1 46.8814 544 Vince Mendrik 1 46.8783 544 David Chapman 1 46.8725 544 Joakim Kilströmer 1 46.8706 544 Piotr Chodzinski 1 46.8700 544 Russell Mathers 1 46.8603 544 Vincent Riva 1 46.8491 544 Darin Loucks 1 46.8433 544 Roman Azarenko 1 46.8351 544 Michael Rauh 1 46.8340 544 Tim O'Malley 1 46.8327 544 Matthew Alden 1 46.8289 544 Kenneth Biscop 1 46.8254 544 George Beck 1 46.8237 544 Stefan Geiger 1 46.8226 544 Alex Piskun 1 46.8133 544 Jiří Chovanec 1 46.7891 544 Eduard Cerny 1 46.7880 544 Michael Schoeberl 1 46.7713 544 Keika Hatanaka 1 46.7680 544 Nèstor Abad 1 46.7613 544 Josh Closs 1 46.7538 544 Chris Wilson 1 46.7473 544 Joseph Wilson 1 46.7386 544 Matt Smith 1 46.7377 544 佐藤吉紘 1 46.7349 544 Pete D'Amico 1 46.7247 544 Jonathan Pritchard 1 46.7203 544 William Darney 1 46.7150 544 Dave Gardner 1 46.7046 544 Fabio Moreira 1 46.6918 544 Motohiro Ohno 1 46.6907 544 Brian Schroeder 1 46.6903 544 Andreas Rohmann 1 46.6844 544 Peter Hundhausen 1 46.6816 544 Andreas Meppiél 1 46.6799 544 Michael Gmirkin 1 46.6767 544 Anders Eklöf 1 46.6753 544 Harvey Chan 1 46.6699 544 Christopher L. Freeze 1 46.6688 544 Gary Conner 1 46.6595 544 Andrzej Karpinski 1 46.6552 544 Ben Topham 1 46.6519 544 Sagi Iltus 1 46.6480 544 Paul Mazumdar 1 46.6382 544 Yuri Strokov 1 46.6375 544 Ben Landrum 1 46.6349 544 Heindl Robert 1 46.6243 544 Steve Hawker 1 46.6085 544 Holger Venjakob 1 46.6004 544 CHEUNG Tak Chuen 1 46.5856 544 Johan Hefer 1 46.5842 544 Jaroslav Čampulka 1 46.5662 544 Ian Keogh 1 46.5194 544 Mason Rubin 1 46.4621 544 Johnny Bergmann 1 46.4245 544 Michał Telesz 1 46.4112 544 Nathaniel Adam 1 46.3569 544 Sota Tajika 1 46.3485 544 LaDonna Jones 1 46.3388 544 Eric Vitiello 1 46.3348 544 Jeffrey Wright 1 46.3231 544 Gordon Spence 1 46.2958 544 Jess Donovan 1 46.2824 544 Hirohito Yagi 1 46.1697 544 Scott Yoshimura 1 46.1681 544 Adam Sarok 1 46.1380 544 Róbert Borbély 1 46.0655 544 Adam SchwartzLowe 1 46.0315 544 Urmas Jaamann 1 46.0064 544 Sylvain Charrondiere 1 46.0036 544 Daniel Lemkau 1 45.9227 544 Bob Benson 1 45.9123 544 Georgios Magklaras 1 45.8907 544 Leon Bird 1 45.8740 544 Dieter Wissel 1 45.8664 544 Piotr Niedbała 1 45.8627 544 David Hennebert 1 45.8512 544 Michael Post 1 45.8243 544 Sönke Gravemeyer 1 45.8220 544 Peter Wiedemann 1 45.8210 544 David Plottel 1 45.8103 544 Bob Calveley 1 45.7689 544 Bernt Pettersen 1 45.7321 544 MARSIN Philippe 1 45.7224 544 John E. Dalton 1 45.7178 544 Paul Busse 1 45.7082 544 Antoine Butez 1 45.7001 544 Jason Lorsung 1 45.6946 544 Lucjan R. Szreter 1 45.6620 544 Mark Williams 1 45.6572 544 Joseph G. Unbekannt 1 45.6389 544 Brian Rossman 1 45.6376 544 Stephen Kohlman 1 45.5941 544 Stephen Hou 1 45.5800 544 Jiri Kolencik 1 45.5361 544 Rich Tesarz 1 45.5243 544 Jeff Smith 1 45.5153 544 Thomas Wolfram 1 45.4935 544 Ronald Crawford 1 45.4436 544 Timothy Slegel 1 45.4149 544 Olof Leps 1 45.4034 544 YoungJun Ga 1 45.3815 544 Bruce White 1 45.3660 544 Laurence Duggan 1 45.3376 544 Roberto Piantoni 1 45.3306 544 Joshua Whiteley 1 45.2771 544 Will Palumbo 1 45.2664 544 Shunsuke Nagayama 1 45.2564 544 Daniel Wimmer 1 45.2355 544 James Reichel 1 45.2325 544 Merlin Hansen 1 45.2268 544 Dirk Träbert 1 45.2258 544 Malcolm Beeson 1 45.2084 544 Juergen Roemer 1 45.1446 544 Andrei Apreutesei 1 45.1317 544 Daniele Sala 1 45.1050 544 Dejan Ivanek 1 45.0842 544 Jim Miller 1 45.0836 544 Adam Schaible 1 45.0261 544 Chin Jian Kai 1 45.0234 544 Michal Marek 1 45.0190 544 Kelvin Lo 1 45.0189 544 Joel Armengaud 1 43.9762 544 Maia Karpovich 1 36.8810 544 Alan Mock 1 36.6707 544 Dana Jacobsen 1 34.3765

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Notes:

Number of primes

When counting primes we decided that if three people (persons) went together to find a prime, each should get credit for 1/3 of a prime. The same is true for projects, however programs get full credit for each prime (to encourage honest reporting of what programs where used). Persons, programs and projects are three separate categories and do not compete against each other.

For example, suppose the persons 'Carmody' and 'Caldwell' worked together and used the program 'PRP' to test candidates selected by the 'GFN 2^13 Sieving project', then completed their proofs using 'Proth.exe'. Then the persons 'Carmody' and 'Caldwell' would get 1/2 credit for each prime found; but the project 'GFN 2^13 Sieving project' and the programs 'PRP' and 'Proth.exe' would each get full credit.<\p>