Top persons sorted by Number of primes
(Another of the Prime Pages' resources)
The Largest Known Primes Icon
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The Prover-Account Top 20
Persons by: number score normalized score
Programs by: number score normalized score
Projects by: number score normalized score

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.

1 Peter Benson 256 50.4298
2 Serge Batalov 216.333 50.8715
3 Dr. James Scott Brown 210 49.8461
4 David Broadhurst 209.867 47.9751
5 David Metcalfe 158 49.4654
5 Randy Ready 158 49.6260
7 Randall Scalise 157 49.5153
8 Raymond Schouten 97 48.5114
9 Grzegorz Granowski 96 49.4333
10 Bouk de Water 91.5332 39.2010
11 Lennart Vogel 86 48.7905
12 Jeff Notte 67 47.9334
13 Tom Greer 62 48.4124
14 Thomas Ritschel 49 49.4615
14 Michel Johnson 49 48.3913
16 Hiroyuki Okazaki 48 48.9180
17 Douglas B. McKay 44 47.6461
18 Dmitry Domanov 43 49.1681
19 Predrag Minovic 42.1667 48.0852
20 Larry Soule 37.5 48.3673
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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.