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 394.333 54.6183 2 Ryan Propper 372 56.0860 3 Stefan Larsson 198 52.3550 4 Dr. James Scott Brown 194 53.4479 5 Tom Greer 130 54.8491 6 Randall Scalise 118 51.2987 7 Vaughan Davies 114 52.3298 8 Wolfgang Schwieger 98 52.1339 9 Ken Davis 85.1667 39.4858 10 Peter Kaiser 84.3333 50.9960 11 Valter Cavecchia 83 52.5461 12 Florian Piesker 67 50.3079 13 David Broadhurst 59.0332 46.8395 14 Hiroyuki Okazaki 56 51.3262 15 Erik Veit 52 51.0046 16 Paul Underwood 47.8333 49.1193 17 Thomas Ritschel 45 50.7170 18 Bouk de Water 41.6999 39.1874 19 Kai Presler 41 51.6893 20 Seonghwan Kim 40 50.5980

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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>