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 26 Gary Barnes 30 49.5253 27 Peter Benson 29 50.4499 28 Antonio Lucendo 28 51.6503 29 Brian D. Niegocki 26 51.4097 29 Ian Johns 26 50.0818 31 Max Dettweiler 25 51.2658 31 Michael Curtis 25 50.1291 33 Honza Cholt 24 50.5922 33 Wes Hewitt 24 50.9116 35 Ronny Willig 23 49.9226 35 Dmitry Domanov 23 50.8550 35 Frank Doornink 23 49.7952 38 Göran Schmidt 22.6667 49.3205 39 Tom Wu 22 42.0783 39 Ricky L Hubbard 22 50.0246

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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>