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 Predrag Kurtovic 33 50.6893 22 Zack Friedrichsen 32 50.6902 22 Marius Vultur 32 50.9627 24 Rob Gahan 31.5 52.5278 25 Kai Presler 31 51.5904 26 Peter Benson 30 50.4577 26 Gary Barnes 30 49.4041 28 Michael Curtis 29 50.1706 29 Göran Schmidt 28.6667 49.4425 30 Antonio Lucendo 28 51.6503 31 Max Dettweiler 26 51.2684 31 Brian D. Niegocki 26 51.4097 31 Ian Johns 26 50.0818 34 Honza Cholt 24 50.5922 34 Ronny Willig 24 49.9362 34 Wes Hewitt 24 50.9116 37 Tom Wu 23 42.0308 37 Frank Doornink 23 49.7952 39 Dmitry Domanov 21 50.2690 39 Alen Kecic 21 51.1137

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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>