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 22 Rob Gahan 32.5 52.5233 23 Zack Friedrichsen 32 50.6902 23 Marius Vultur 32 50.9627 25 Peter Benson 31 50.4647 25 Kai Presler 31 51.5669 27 Max Dettweiler 30 51.2806 28 Michael Curtis 28 49.9985 28 Antonio Lucendo 28 51.6503 30 Norman Luhn 26.6667 33.1167 30 Göran Schmidt 26.6667 49.3671 32 Ronny Willig 26 49.9595 32 Brian D. Niegocki 26 51.4097 32 Ian Johns 26 50.0818 35 Honza Cholt 25 50.5984 36 Dmitry Domanov 23 50.2855 36 Tom Wu 23 42.0308 36 Frank Doornink 23 49.7952 36 Wes Hewitt 23 50.8920 40 David Metcalfe 22 49.0128

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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>