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 Gary Barnes 33 49.4117 21 Kai Presler 33 50.9720 21 Predrag Kurtovic 33 50.6893 24 Rob Gahan 32.5 52.5233 25 Marius Vultur 32 50.9627 26 Peter Benson 31 50.4647 26 LeRoy Blanchard 31 50.4424 28 Max Dettweiler 29 51.2775 29 Michael Curtis 28 49.9985 29 Antonio Lucendo 28 51.6503 31 Ronny Willig 27 49.9704 32 Norman Luhn 26.6667 33.1167 33 Brian D. Niegocki 26 51.4097 33 Ian Johns 26 50.0818 35 Göran Schmidt 25.6667 49.3851 36 Honza Cholt 25 50.5984 37 Tom Wu 23 42.0308 37 Frank Doornink 23 49.7952 37 Wes Hewitt 23 50.8920 40 David Metcalfe 22 49.0128 40 Dmitry Domanov 22 50.2772 40 Jonathan Sipes 22 50.0477

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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>