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 1 Ryan Propper 316 55.7913 2 Serge Batalov 306.833 54.5649 3 Stefan Larsson 192 52.1055 4 Dr. James Scott Brown 164 52.7768 5 Randall Scalise 155 51.3747 6 Tom Greer 119 53.3180 7 Florian Piesker 112 50.4653 8 Wolfgang Schwieger 90 51.9419 9 Peter Kaiser 81.3333 51.0002 10 David Broadhurst 73.0332 47.2634 11 Thomas Ritschel 68 50.8284 12 Max Dettweiler 61 50.4473 13 Ronny Willig 58 50.2047 14 Vaughan Davies 53 50.9868 15 Hiroyuki Okazaki 52 51.2420 16 Erik Veit 51 50.9738 17 Bouk de Water 49.6999 39.2160 18 David Metcalfe 46 49.4249 19 Seonghwan Kim 43 50.3675 20 Peter Benson 42 50.5123

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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>