Top persons sorted by Number of primes
(Another of the Prime Pages' resources)
The Largest Known Primes Icon
  View this page in:   language help
 
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 266 50.4417
2 David Broadhurst 211.867 47.9109
3 Serge Batalov 191.333 50.7995
4 Randall Scalise 170 49.5528
5 Dr. James Scott Brown 159 49.7183
6 Randy Ready 158 49.6260
7 David Metcalfe 147 49.3265
8 Grzegorz Granowski 110 49.4403
9 Raymond Schouten 97 48.5114
10 Bouk de Water 92.0332 39.1831
11 Lennart Vogel 88 48.8027
12 Mark Molder 67 48.6884
13 Tom Greer 61 48.4032
14 Thomas Ritschel 56 49.4833
15 Michel Johnson 49 48.3913
16 Predrag Minovic 42.1667 48.0852
17 Dmitry Domanov 42 49.0365
18 Sai Yik Tang 40 50.3638
19 Jeff Notte 39 47.3922
20 Larry Soule 38.5 48.3766
 
move down list v

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.