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 21 Norman Luhn 35.6667 33.1207 22 Predrag Kurtovic 34 50.8653 23 Rob Gahan 33.5 52.5314 24 Zack Friedrichsen 32 50.6902 24 Marius Vultur 32 50.9627 24 Antonio Lucendo 32 53.0738 27 Gary Barnes 28 49.5528 28 Peter Benson 27 50.4320 29 Honza Cholt 26 50.6524 29 Brian D. Niegocki 26 51.4097 29 Ian Johns 26 50.0818 32 Wes Hewitt 24 50.9116 33 Michael Curtis 23 50.1045 33 Frank Doornink 23 49.7952 35 Ronny Willig 22 49.9072 35 Dmitry Domanov 22 50.8543 35 Bruce E. Slade 22 49.9676 35 Tom Wu 22 42.0783 35 Jonathan Sipes 22 50.1532 40 Max Dettweiler 21 51.2505 40 Hans Joachim Böhm 21 49.9507 40 Alen Kecic 21 51.1137 40 HyeongShin Kang 21 50.3844

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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>