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 256 50.4298
2 Dr. James Scott Brown 221 50.0057
3 Serge Batalov 219.333 50.8732
4 David Broadhurst 210.867 48.0034
5 David Metcalfe 163 49.5084
6 Randy Ready 158 49.6260
7 Randall Scalise 149 49.4911
8 Grzegorz Granowski 97 49.4373
9 Bouk de Water 92.0332 39.2075
10 Lennart Vogel 86 48.7905
11 Jeff Notte 80 48.1107
12 Tom Greer 63 48.4216
12 Hiroyuki Okazaki 63 48.9983
14 Thomas Ritschel 51 49.5147
15 Douglas B. McKay 49 47.7644
16 Michel Johnson 47 48.3723
17 Dmitry Domanov 43 49.5604
18 Predrag Minovic 41.6667 48.0852
19 Larry Soule 37 48.3673
19 Raymond Schouten 37 47.8134
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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.