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 Takashi Iwasaki 36 50.5601 21 Seonghwan Kim 36 50.6158 23 Zack Friedrichsen 35 50.7632 24 Wes Hewitt 34 51.0902 25 Rob Gahan 32.5 52.5326 26 Norman Luhn 30.6667 33.1131 27 Thomas Ritschel 29 50.5509 27 Bruce E. Slade 29 50.2801 29 HyeongShin Kang 27 50.6258 30 Ian Johns 26 50.0818 31 Predrag Kurtovic 25 50.8246 32 Peter Benson 24 50.3899 32 Brian D. Niegocki 24 51.4065 34 Honza Cholt 23 50.6377 34 Hans Joachim Böhm 23 50.0514 34 Alen Kecic 23 51.1520 37 Tom Wu 22 42.0783 37 Jonathan Sipes 22 50.1744 39 Jan Kožíšek 21 50.1476 39 Mark Williams 21 52.8452

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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>