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 342 49.9595
2 Peter Benson 293 50.4095
3 Mark Molder 253 49.4251
4 David Broadhurst 243.533 47.7729
5 David Metcalfe 133 49.0604
6 Dr. James Scott Brown 127 49.4807
7 Grzegorz Granowski 124 49.1484
8 Randall Scalise 111 48.8836
9 Bouk de Water 100.367 39.1546
10 Raymond Schouten 97 48.5114
11 Serge Batalov 88 49.9669
12 Lennart Vogel 82 48.3686
13 Predrag Minovic 52.1667 48.1571
14 Thomas Ritschel 52 49.2861
15 Michael Mamanakis 49 48.2023
16 Honza Cholt 48 48.1503
17 Larry Soule 46.5 48.4385
18 Ian M Gunn 46 48.0371
19 Gary Barnes 43 47.4178
20 Arnaud de Klerk 38 47.5798
 
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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.