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 1 Ryan Propper 337.5 56.0245 2 Serge Batalov 317.333 54.6189 3 Stefan Larsson 199 52.2127 4 Dr. James Scott Brown 171 52.7990 5 Randall Scalise 150 51.3982 6 Florian Piesker 129 50.6761 7 Tom Greer 121 53.3556 8 Wolfgang Schwieger 94 51.9680 9 Peter Kaiser 81.3333 51.0002 10 Thomas Ritschel 68 50.8284 11 David Broadhurst 63.0332 46.9925 12 Vaughan Davies 55 51.0205 12 Hiroyuki Okazaki 55 51.2916 14 Erik Veit 52 50.9911 15 Göran Schmidt 51.6667 49.7517 16 Bouk de Water 45.6999 39.2130 17 Valter Cavecchia 45 51.1745 18 Ronny Willig 43 50.1116 18 Seonghwan Kim 43 50.3675 20 Gary Barnes 41 49.4530

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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>