Top project sorted by number of primes

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.

rank project primes score 1 PrimeGrid 3940 56.4412 2 Conjectures 'R Us 280.5 53.2031 3 Riesel Prime Search 113.5 52.2426 4 No Prime Left Behind (formerly: PrimeSearch) 90 51.1035 5 Primeform e-group 66 31.3259 6 Twin Prime Search 58 50.3470 7 Prime Internet Eisenstein Search 30 55.0414 8 Great Internet Mersenne Prime Search by Woltman & Kurowski 18 58.5540 9 Private GFN server 17.5 49.3455 10 The Other Prime Search 15 47.7795 11 Seventeen or Bust 6.5 53.0183 12 Sierpinski/Riesel Base 5 5 49.1267 13 The Prime Sierpinski Problem 3 51.4763 14 Riesel Sieve Project 2.5 47.6367 14 Science United 2.5 50.2219 16 12121 Search 1.5 49.3399 16 321search 1.5 47.2705 18 SRBase 1 46.9962 18 Rechenkraft.net e.V. 1 46.9326 20 Free-DC's Prime Search 0 0.0000 20 15k*2^n-1 search 0 0.0000 20 Yves Gallot's GFN Search Project 0 0.0000 20 GFN 2^13 Sieving project 0 0.0000 20 Les GeneFermiers 0 0.0000 20 Multifactorial Prime Search 0 0.0000 20 Generalized Woodall Prime Search 0 0.0000 20 Proth/Riesel Drag Racers 0 0.0000 20 GFN 2^14 Sieving project 0 0.0000 20 Mat's Prime Search 0 0.0000 20 GFN 2^16 Sieving project 0 0.0000 20 GFN 2^15 Sieving project 0 0.0000 20 William Garnett's PSearch 0 0.0000 20 Totally Tetradic 0 0.0000 20 GFN 2^17 Sieving project 0 0.0000 20 Base 4 Sierpinski Prime Search 0 0.0000

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.<\p>