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 293 50.4699
2 David Broadhurst 234.033 47.8402
3 Randy Ready 192 49.7020
4 Mark Molder 180 49.2183
5 David Metcalfe 144 49.2270
6 Grzegorz Granowski 133 49.3146
7 Randall Scalise 123 49.0584
8 Dr. James Scott Brown 122 49.5919
9 Serge Batalov 119 50.4782
10 Bouk de Water 98.8666 39.1705
11 Raymond Schouten 97 48.5114
12 Lennart Vogel 92 48.8050
13 Thomas Ritschel 53 49.3398
14 Predrag Minovic 49.1667 48.1294
15 Honza Cholt 46 48.1307
16 Gary Barnes 45 47.7060
16 Michel Johnson 45 48.3528
18 Larry Soule 44.5 48.4243
19 Michael Mamanakis 43 48.2740
20 Ian M Gunn 42 48.0422
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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.