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.

rankpersonprimesscore
1 Randy Ready 535 50.1932
2 Peter Benson 286 50.3475
3 David Broadhurst 244.867 47.7558
4 Mark Molder 234 49.3317
5 David Metcalfe 133 48.8744
5 Dr. James Scott Brown 133 49.2240
7 Grzegorz Granowski 110 48.9410
8 Bouk de Water 102.7 39.1510
9 Randall Scalise 100 48.6938
10 Raymond Schouten 97 48.5114
11 Lennart Vogel 92 48.3277
12 Serge Batalov 68 49.8945
13 Predrag Minovic 51.1667 48.1314
14 Thomas Ritschel 51 49.1046
15 Michael Mamanakis 48 47.9947
16 Larry Soule 47.5 48.4448
17 Honza Cholt 47 47.7696
18 Ian M Gunn 42 47.8738
19 Gary Barnes 41 47.3625
20 James P. Burt 40 47.6950
 
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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.