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 hardware and software on this system was updated September 4th.  Please let me know of any problem you encounter. <>

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 297 50.4481
2 Randy Ready 289 49.8789
3 David Broadhurst 244.533 47.7701
4 Mark Molder 210 49.3118
5 David Metcalfe 137 49.1080
6 Grzegorz Granowski 129 49.2253
7 Randall Scalise 117 48.9657
8 Dr. James Scott Brown 115 49.4519
9 Bouk de Water 99.3666 39.1560
10 Serge Batalov 98 50.2797
11 Raymond Schouten 97 48.5114
12 Lennart Vogel 82 48.5382
13 Thomas Ritschel 54 49.3427
14 Predrag Minovic 51.1667 48.1481
15 Gary Barnes 49 47.5729
16 Honza Cholt 48 48.1503
17 Michael Mamanakis 47 48.1853
18 Larry Soule 46.5 48.4385
19 Ian M Gunn 46 48.0371
20 Michel Johnson 40 48.3025
move down list v


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.