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 275 Szymon Banka 3.3333 48.1278 275 Stephan Vink 3.3333 39.5212 277 Peter Grobstich 3 45.8240 277 Adrian Reber 3 45.9981 277 Chris Siegert 3 47.2457 277 Carlos Eduardo Pinho 3 47.0671 277 Stephen R Cilliers 3 47.2303 277 Ardo van Rangelrooij 3 47.2638 277 Dave Sunderland 3 47.7935 277 Glenn Hall 3 47.8386 277 Joseph Hsieh 3 47.4894 277 James Winskill 3 49.9926 277 Mickaël Carlier 3 48.9244 277 Cédric Latge 3 47.9004 277 Robert Michael Andrews 3 47.5489 277 Darren Bedwell 3 43.9582 277 Frederik Schiøler 3 47.7958 277 Mike Parker 3 47.6651 277 Michał Gasewicz 3 47.4637 277 Bryan Little 3 48.8073 277 Philipp Bliedung 3 49.4832 277 Josef Schlereth 3 47.9588 277 Heinz Ming 3 47.4381 277 Vadim Bulanov 3 47.8865 277 Lukasz Piotrowski 3 47.8935 277 Dennis Bischof 3 47.1489 277 Jörg Bravin 3 47.6355 277 Toshiya Satoh 3 47.3940 277 Jacques Molné 3 48.7940 277 Christian Guilleminot 3 47.9234 277 Wolfgang Schmidt 3 48.0511 277 Philip Englehard 3 47.2113 277 Gregory Bennett 3 47.8206 277 Mark Jones 3 47.6493 277 Sean Matheis 3 47.8839 277 Phill Mayer 3 47.9955 277 Louis Helm 3 47.6880 277 Andrew McNary 3 48.3167 277 Ondrej Hajek 3 47.5460 277 Tanel Liiv 3 48.7399 277 Frank Schwegler 3 48.3791 277 Håkan Lind 3 48.4911 277 Jason Jung 3 47.9140 277 Luca Corlatti 3 47.7569 277 Chad Steenerson 3 47.1513 277 Edward Trice 3 48.1265 277 Roman Vogt 3 50.4948 277 Howard Shi 3 48.0900 277 Dan Bishopp 3 47.9372 277 Mike McDonald 3 47.7710 277 Luigi Racanelli 3 47.5038 277 Dr. Michael Paridon 3 35.6868 277 Stephen Eldred 3 47.9989 277 Kimmo Koski 3 47.8378 277 Viktor Svantner 3 47.6078 277 Robert Cooper 3 47.5762 277 James Wypych 3 47.3707 277 Eric Clifton 3 47.0104 277 Rafael Trigueiro 3 48.9443 277 Dirk Sellsted 3 48.3351 277 Rob Powell 3 47.6151 277 Nicholas Vrontakis 3 47.5106 277 Alexander Falk 3 47.4991 277 Koichi Soraku 3 47.4088 277 Alexander Gramolin 3 45.9718 277 Shawn Schafer 3 48.9711 277 Yuya Mochizuki 3 48.9268 277 Robert Anthony Lawrence 3 47.6151 277 Larry Ryan 3 47.0716 277 Yankton Robins 3 46.1051 277 Jack Welsh 3 47.9691 277 Daniel Zuyuan Lu 3 47.5828 277 Reiner Elgetz 3 47.6191 277 Martin Orpen 3 47.3499 277 Dmitrii 3 47.1211 277 Makoto Morimoto 3 45.0070 277 Masakatu Morii 3 40.7006 277 Peter Harvey 3 50.4233 277 Florian Baur 3 49.2518 277 KaiMing Poon 3 48.8760 277 Louis Meuler 3 47.9894 277 Jonathan Gehrke 3 47.9900 277 Simita Norbert 3 47.9690 277 Jiri Eisler 3 47.6849 277 Giovanni Valentino 3 47.2291 277 Ben Meekins 3 48.1971 277 Arno Lehmann 3 52.2822 277 Kyle J Johnson 3 48.8629 277 Peter Williams 3 48.0038 277 Maxime Duvinage 3 47.9773 277 Travis Petersen 3 47.9480 277 Mark Williams 3 47.8415 277 JeanPhilippe Simard 3 47.7627 277 Sean Hsu 3 47.5201 277 Wayne K Ford 3 47.3351

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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>