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 395.833 54.6473 2 Ryan Propper 374.5 56.1329 3 Dr. James Scott Brown 190 53.5282 4 Stefan Larsson 171 52.5088 5 Vaughan Davies 166 52.9804 6 Tom Greer 125 54.8490 7 Valter Cavecchia 117 53.4726 8 Wolfgang Schwieger 105 52.2823 9 Ken Davis 85.6667 47.0352 10 Peter Kaiser 84.3333 50.9960 11 Randall Scalise 76 51.0712 12 Dawid Kwiatkowski 75 51.9622 13 Erik Veit 56 51.1117 14 Kai Presler 53 52.3164 15 David Broadhurst 47.6999 46.8395 16 Paul Underwood 44 49.1193 17 Hiroyuki Okazaki 43 51.2793 18 Marius Vultur 41 51.6650 19 Takashi Iwasaki 39 50.6448 20 Bouk de Water 38.6999 39.1840

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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>