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 Antonio Lucendo 36 53.0831 22 Zack Friedrichsen 35 50.7632 23 Wes Hewitt 33 51.0781 24 Rob Gahan 32.5 52.5326 25 Takashi Iwasaki 32 50.4352 26 Norman Luhn 30.6667 33.1131 27 Thomas Ritschel 30 50.5650 28 Bruce E. Slade 29 50.2801 29 Predrag Kurtovic 28 50.8561 30 Ian Johns 26 50.0818 30 HyeongShin Kang 26 50.5747 32 Peter Benson 25 50.4067 33 Brian D. Niegocki 24 51.4065 34 Honza Cholt 23 50.6377 34 Hans Joachim Böhm 23 50.0514 34 Jonathan Sipes 23 50.1947 34 Alen Kecic 23 51.1520 38 Dmitry Domanov 22 50.8725 38 Tom Wu 22 42.0783 40 Jan Kožíšek 21 50.1476 40 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>