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 268 James P. Burt 3 47.0996 268 Ian M Gunn 3 46.8215 268 Ruediger K. Eckhard 3 47.6621 268 Karsten Bonath 3 47.5829 268 Kenneth J. Brazier 3 48.0593 268 Dale Laluk 3 47.1773 268 Lee Blyth 3 47.5983 268 Patrick Schöfer 3 48.9968 268 Dave Sunderland 3 47.7935 268 Glenn Hall 3 47.8386 268 Yuki Yoshigoe 3 47.8229 268 Robert Lacroix 3 47.9178 268 Joseph Hsieh 3 47.4894 268 James Winskill 3 49.9926 268 Mickaël Carlier 3 48.9244 268 Robert Michael Andrews 3 47.9126 268 Andri Martinelli 3 48.0106 268 Sylvanus A. Zimmerman 3 52.2563 268 Bryan Little 3 50.4079 268 Michał Gasewicz 3 47.4637 268 John S Chambers 3 48.9893 268 Ales Martinik 3 46.4873 268 Gregory Bennett 3 47.8206 268 Josef Schlereth 3 47.9588 268 Philipp Bliedung 3 49.4832 268 Vadim Bulanov 3 47.8865 268 Heinz Ming 3 47.4381 268 Lukasz Piotrowski 3 47.8935 268 Randy Eldredge 3 48.9840 268 Toshiya Satoh 3 47.3940 268 Jacques Molné 3 48.7940 268 Fred Roberts 3 48.4333 268 Nicholas Liu 3 47.7308 268 Tyler Bredl 3 47.3819 268 Anthony Templin 3 49.8611 268 Andrew McNary 3 48.3167 268 Sean Matheis 3 47.8839 268 Mark Jones 3 47.6493 268 Jay Parangalan 3 47.4721 268 Leon Bird 3 49.5565 268 Phill Mayer 3 47.9955 268 Ondrej Hajek 3 47.5460 268 Milan Fňašek 3 48.9340 268 Louis Helm 3 47.6880 268 Tanel Liiv 3 48.7399 268 Luca Corlatti 3 47.7569 268 Scott Earle 3 49.0986 268 Håkan Lind 3 48.4911 268 Nicholas Mukanos 3 47.9372 268 Jason Jung 3 47.9140 268 James Boerner 3 48.0503 268 Koichi Soraku 3 47.4088 268 Roman Vogt 3 50.4948 268 Stephen Eldred 3 47.9989 268 Mike McDonald 3 47.7710 268 Dr. Michael Paridon 3 35.6868 268 Yuya Mochizuki 3 48.9268 268 Kimmo Koski 3 47.8378 268 Viktor Svantner 3 47.6078 268 Robert Cooper 3 47.5762 268 Giovanni Valentino 3 47.2291 268 James Wypych 3 47.3707 268 Dirk Sellsted 3 48.3351 268 Fred Zuschlag 3 47.8569 268 Alexander Cherenkov 3 47.4284 268 Nicholas Vrontakis 3 47.5106 268 Alexander Falk 3 47.4991 268 Alexander E. Baranchikov 3 48.5720 268 Aaron Raimist 3 47.8131 268 Pauli Väisänen 3 47.7885 268 Daniel Zuyuan Lu 3 47.5828 268 Larry Ryan 3 47.0716 268 KaiMing Poon 3 48.8760 268 NitaMinttu Tirkkonen 3 47.9883 268 Sven Jungmann 3 47.9648 268 Jack Welsh 3 47.9691 268 Jiri Eisler 3 47.6849 268 Dmitrii 3 47.1211 268 Makoto Morimoto 3 45.0070 268 Masakatu Morii 3 40.7006 268 Arno Lehmann 3 52.2822 268 Peter Harvey 3 50.4233 268 Mariusz Ługowski 3 49.2873 268 Florian Baur 3 49.2518 268 Axel Amberg 3 48.9459 268 Simita Norbert 3 47.9690 268 Steven L. Smith 3 47.4246 268 Greg Nelson 3 47.3523 268 Sanghyeok Lee 3 49.5054 268 Kyle J Johnson 3 48.8629 268 Julian Schröder 3 48.2633 268 Maxime Duvinage 3 47.9773 268 Travis Petersen 3 47.9480 268 JeanPhilippe Simard 3 47.7627 268 Wayne K Ford 3 47.3351 268 Maia Karpovich 3 38.0475

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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>