Top projects 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.

1 PrimeGrid 3717.5 53.3673
2 Riesel Prime Search 611.5 51.3830
3 No Prime Left Behind (formerly: PrimeSearch) 152 49.2965
4 Conjectures 'R Us 126.5 50.4513
5 The Other Prime Search 30 48.2283
6 Prime Internet Eisenstein Search 25 49.2771
7 Sierpinski/Riesel Base 5 22 48.8564
8 Riesel Sieve Project 17.5 48.4065
9 Great Internet Mersenne Prime Search by Woltman & Kurowski 14 56.3333
10 Yves Gallot's GFN Search Project 12 47.1419
11 Primeform e-group 9 27.5122
11 Free-DC's Prime Search 9 46.0198
13 Generalized Woodall Prime Search 8 46.5999
14 Seventeen or Bust 7 51.3934
15 Twin Prime Search 6.5 46.0632
15 12121 Search 6.5 47.7102
17 The Prime Sierpinski Problem 5.5 49.4123
18 321search 2.5 47.4309
18 GFN 2^17 Sieving project 2.5 46.6601
20 Mat's Prime Search 2 45.1733


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.