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 56 HansJürgen Bergelt 17 46.1647 57 Sascha Beat Dinkel 16 46.2432 57 Ray Miller 16 46.3325 57 Michel Johnson 16 48.0009 57 Marian Vicena 16 46.4523 61 Dale Laluk 15 46.1789 61 Lee Blyth 15 46.4089 61 David Yost 15 47.2310 64 Mike Oakes 14.75 39.5911 65 Mark Rodenkirch 14.3333 46.4679 66 Wilfrid Keller 14.1666 42.2076 67 Bernardo Boncompagni 14 43.1963 67 S. Urushihata 14 39.2051 67 Andrei Ryjkov 14 46.1899 67 Konstantin Stanko 14 46.3932 71 Reto Keiser 13 44.7989 71 Stefano D'Urso 13 45.4862 71 Michael Reifschneider 13 46.2533 74 Adam Sutton 12.5 46.5822 75 Chris Caldwell 12 42.7734 75 Chris Siegert 12 45.9313 75 Matt Jurach 12 46.5015 75 Bartlett Henderson 12 46.1139

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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.