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 256 50.4298
2 David Broadhurst 210.367 47.9109
3 Serge Batalov 207.333 50.8646
4 Dr. James Scott Brown 194 49.8028
5 Randall Scalise 161 49.5275
6 Randy Ready 158 49.6260
7 David Metcalfe 154 49.4293
8 Grzegorz Granowski 99 49.4426
9 Raymond Schouten 97 48.5114
10 Bouk de Water 91.5332 39.1824
11 Lennart Vogel 87 48.7968
12 Tom Greer 62 48.4124
12 Jeff Notte 62 47.8558
14 Thomas Ritschel 50 49.4647
15 Michel Johnson 49 48.3913
16 Dmitry Domanov 43 49.1681
17 Predrag Minovic 42.1667 48.0852
18 Douglas B. McKay 41 47.5700
19 Hiroyuki Okazaki 39 48.7835
20 Larry Soule 37.5 48.3673
 
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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.