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 Dr. James Scott Brown 291 50.2758
2 Peter Benson 265 50.4670
3 Serge Batalov 245.333 50.8946
4 David Broadhurst 198.867 47.9648
5 David Metcalfe 179 49.6573
6 Tom Greer 125 48.9532
7 Jeff Notte 120 48.5162
8 Randall Scalise 111 49.4406
9 Grzegorz Granowski 97 49.4373
10 Bouk de Water 91.0332 39.2070
11 Hiroyuki Okazaki 89 49.2410
12 Lennart Vogel 79 48.7451
13 Thomas Ritschel 58 49.5590
14 Douglas B. McKay 54 47.8680
15 Dmitry Domanov 43 49.5604
16 Predrag Minovic 41.6667 48.0852
17 Mariusz Szafrański 41 48.6584
18 Larry Soule 37 48.3673
19 Uwe Senftleben 36 47.5305
20 Ian M Gunn 34 47.9887
20 Sai Yik Tang 34 50.3718
 
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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.