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 309 49.9104
2 Peter Benson 297 50.4369
3 David Broadhurst 246.533 47.7725
4 Mark Molder 228 49.3613
5 David Metcalfe 137 49.1043
6 Grzegorz Granowski 128 49.2036
7 Dr. James Scott Brown 120 49.4642
8 Randall Scalise 114 48.9495
9 Bouk de Water 100.367 39.1565
10 Raymond Schouten 97 48.5114
11 Serge Batalov 96 50.2349
12 Lennart Vogel 87 48.5654
13 Thomas Ritschel 53 49.3138
14 Predrag Minovic 52.1667 48.1571
15 Honza Cholt 48 48.1503
16 Michael Mamanakis 47 48.1853
17 Larry Soule 46.5 48.4385
18 Gary Barnes 46 47.4977
18 Ian M Gunn 46 48.0371
20 Arnaud de Klerk 38 47.5854
 
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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.