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 Max Dettweiler 40 50.3471 22 Predrag Kurtovic 35 50.6984 23 Peter Benson 32 50.4696 23 Michael Curtis 32 50.0339 25 David Metcalfe 31 49.2127 26 Rob Gahan 30 52.5143 27 Grzegorz Granowski 29 49.0042 28 Brian D. Niegocki 26 51.4097 29 Honza Cholt 25 50.5779 29 Takahiko Ogawa 25 49.7893 31 Dmitry Domanov 24 50.2699 31 Tom Wu 24 42.0398 33 Frank Doornink 23 49.7952 34 Paul Underwood 22.4999 49.1463 35 Ian Johns 22 49.8915 36 Charles Jackson 20 49.7195 36 Bill Cavnaugh 20 50.1112 36 Ralf Terber 20 49.5011 36 Antonio Lucendo 20 51.1797 40 Ken Davis 19.8333 39.5054

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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>