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 Serge Batalov 388.333 54.6376 2 Ryan Propper 376 56.0986 3 Dr. James Scott Brown 197 53.5333 4 Stefan Larsson 188 52.5374 5 Vaughan Davies 155 52.8398 6 Tom Greer 129 54.8493 7 Wolfgang Schwieger 102 52.2015 8 Valter Cavecchia 94 52.6167 9 Ken Davis 85.1667 39.4858 10 Peter Kaiser 84.3333 50.9960 11 Randall Scalise 82 51.1219 12 Dawid Kwiatkowski 69 51.4477 13 David Broadhurst 58.5332 46.8395 14 Erik Veit 56 51.1117 15 Paul Underwood 47.8333 49.1193 16 Kai Presler 47 52.2815 17 Hiroyuki Okazaki 43 51.2724 18 Bouk de Water 41.1999 39.1870 19 Marius Vultur 40 51.1339 20 Seonghwan Kim 37 50.5944

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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>