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 Peter Benson 303 50.4794
2 Randy Ready 256 49.8235
3 David Broadhurst 237.033 47.7550
4 Mark Molder 203 49.2914
5 David Metcalfe 136 49.1075
6 Grzegorz Granowski 130 49.2315
7 Randall Scalise 121 49.0160
8 Dr. James Scott Brown 119 49.5797
9 Serge Batalov 104 50.3581
10 Bouk de Water 98.8666 39.1698
11 Raymond Schouten 97 48.5114
12 Lennart Vogel 86 48.6099
13 Thomas Ritschel 54 49.3427
14 Predrag Minovic 50.1667 48.1388
15 Gary Barnes 49 47.6734
16 Honza Cholt 48 48.1503
17 Michael Mamanakis 47 48.2416
18 Larry Soule 45.5 48.4316
19 Ian M Gunn 44 48.0101
20 Michel Johnson 42 48.3230
 
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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.