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 3407 55.8711 2 Conjectures 'R Us 455.5 53.0136 3 No Prime Left Behind (formerly: PrimeSearch) 265 51.3710 4 Riesel Prime Search 210.5 52.2304 5 Twin Prime Search 52 50.2442 6 Prime Internet Eisenstein Search 47 55.0114 7 Private GFN server 18 49.3530 7 Great Internet Mersenne Prime Search by Woltman & Kurowski 18 58.5540 9 The Other Prime Search 17 47.9632 10 Primeform e-group 11 29.5345 11 Sierpinski/Riesel Base 5 8.5 49.2076 11 Riesel Sieve Project 8.5 48.2107 13 Seventeen or Bust 6.5 53.0183 14 The Prime Sierpinski Problem 3 51.4763 15 Yves Gallot's GFN Search Project 2.5 46.6601 15 321search 2.5 47.4309 15 GFN 2^17 Sieving project 2.5 46.6601 18 SRBase 2 47.2254 19 12121 Search 1.5 49.3399 20 Generalized Woodall Prime Search 1 45.8589 20 Mat's Prime Search 1 44.7134 20 Science United 1 46.7531

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>