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 261 50.4505
2 Dr. James Scott Brown 247 50.1196
3 Serge Batalov 232.333 50.8797
4 David Broadhurst 202.367 47.9792
5 David Metcalfe 171 49.5650
6 Randall Scalise 135 49.5161
7 Tom Greer 107 48.8082
8 Jeff Notte 106 48.3921
9 Grzegorz Granowski 97 49.4373
10 Bouk de Water 91.5332 39.2068
11 Lennart Vogel 83 48.7713
12 Hiroyuki Okazaki 78 49.0859
13 Thomas Ritschel 57 49.5560
14 Randy Ready 52 49.2818
14 Douglas B. McKay 52 47.8263
16 Dmitry Domanov 43 49.5604
17 Predrag Minovic 41.6667 48.0852
18 Michel Johnson 38 48.2817
19 Larry Soule 37 48.3673
19 Mariusz Szafrański 37 48.5463
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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.