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 402.333 54.6367 2 Ryan Propper 379 56.1306 3 Dr. James Scott Brown 193 53.5305 4 Stefan Larsson 187 52.5356 5 Vaughan Davies 163 52.9542 6 Tom Greer 126 54.8492 7 Valter Cavecchia 105 52.6753 7 Wolfgang Schwieger 105 52.2479 9 Ken Davis 85.1667 39.4858 10 Peter Kaiser 84.3333 50.9960 11 Randall Scalise 80 51.1067 12 Dawid Kwiatkowski 73 51.9004 13 Erik Veit 56 51.1117 14 Kai Presler 49 52.2958 15 David Broadhurst 48.1999 46.8395 16 Paul Underwood 44.5 49.1193 17 Hiroyuki Okazaki 43 51.2724 18 Marius Vultur 41 51.6650 19 Bouk de Water 39.1999 39.1844 20 Antonio Lucendo 38 53.1920

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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>