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 261 50.4359
2 David Broadhurst 210.867 47.9109
3 Serge Batalov 192.333 50.8324
4 Dr. James Scott Brown 171 49.7480
5 Randall Scalise 164 49.5364
6 Randy Ready 158 49.6260
7 David Metcalfe 149 49.3843
8 Grzegorz Granowski 102 49.4507
9 Raymond Schouten 97 48.5114
10 Bouk de Water 92.0332 39.1831
11 Lennart Vogel 87 48.7968
12 Tom Greer 62 48.4124
13 Jeff Notte 55 47.7360
14 Thomas Ritschel 52 49.4711
15 Michel Johnson 49 48.3913
16 Predrag Minovic 42.1667 48.0852
17 Dmitry Domanov 42 49.1619
18 Sai Yik Tang 41 50.3796
19 Douglas B. McKay 40 47.5450
20 Ian M Gunn 38 48.0430
 
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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.