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 286 50.4630
2 David Broadhurst 229.033 47.8880
3 Randy Ready 176 49.6675
4 Mark Molder 162 49.1547
5 Randall Scalise 150 49.3278
6 David Metcalfe 144 49.2418
7 Dr. James Scott Brown 128 49.6089
8 Grzegorz Granowski 127 49.2991
9 Serge Batalov 123 50.4875
10 Bouk de Water 98.1999 39.1842
11 Raymond Schouten 97 48.5114
12 Lennart Vogel 93 48.8265
13 Thomas Ritschel 52 49.4425
14 Michel Johnson 49 48.3913
15 Predrag Minovic 48.1667 48.1193
16 Gary Barnes 45 47.7137
17 Ian M Gunn 42 48.0422
17 Honza Cholt 42 48.0893
19 Larry Soule 41.5 48.4013
20 Dmitry Domanov 40 48.9329
20 Tom Greer 40 47.9021
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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.