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 393.333 54.6172 2 Ryan Propper 361 56.0733 3 Stefan Larsson 199 52.3527 4 Dr. James Scott Brown 190 53.4404 5 Randall Scalise 140 51.3749 6 Tom Greer 124 53.3709 7 Vaughan Davies 101 52.1761 8 Wolfgang Schwieger 98 52.1339 9 Florian Piesker 93 50.5297 10 Ken Davis 85.1667 39.4858 11 Peter Kaiser 84.3333 50.9960 12 Valter Cavecchia 74 52.5131 13 David Broadhurst 65.1999 46.9925 14 Hiroyuki Okazaki 54 51.2998 15 Erik Veit 52 51.0046 16 Thomas Ritschel 51 50.7552 17 Paul Underwood 45.8333 49.1193 18 Bouk de Water 44.8666 39.2126 19 Seonghwan Kim 41 50.5835 20 Kai Presler 37 51.6483

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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>