Top projects sorted by Number of primes (Another of the Prime Pages' resources)

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.

rank project primes score 1 PrimeGrid 3639 53.4425 2 Riesel Prime Search 653.5 51.4855 3 No Prime Left Behind (formerly: PrimeSearch) 158 49.3270 4 Conjectures 'R Us 136.5 50.9766 5 The Other Prime Search 31 48.2396 6 Prime Internet Eisenstein Search 25 49.2771 7 Sierpinski/Riesel Base 5 22.5 49.0163 8 Riesel Sieve Project 17.5 48.4065 9 Great Internet Mersenne Prime Search by Woltman & Kurowski 15 56.9364 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 46.6734 14 Seventeen or Bust 7 51.3934 15 12121 Search 6.5 47.7102 16 Twin Prime Search 5.5 45.9613 16 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

#### 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.