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 3697 52.7620 2 Riesel Prime Search 645 50.9585 3 No Prime Left Behind (formerly: PrimeSearch) 192 48.9310 4 Conjectures 'R Us 91 48.7902 5 Sierpinski/Riesel Base 5 32 47.8100 6 Riesel Sieve Project 24.5 48.4500 7 The Other Prime Search 24 46.9761 8 Great Internet Mersenne Prime Search by Woltman & Kurowski 14 56.3333 9 Yves Gallot's GFN Search Project 13.5 47.1810 10 Twin Prime Search 12 46.5312 10 Prime Internet Eisenstein Search 12 44.2812 12 Primeform e-group 9 27.5122 12 Generalized Woodall Prime Search 9 46.4888 14 12121 Search 8.5 47.7386 15 Free-DC's Prime Search 8 45.5623 15 Seventeen or Bust 8 51.3938 17 The Prime Sierpinski Problem 5.5 49.4123 18 321search 4.5 47.4713 19 GFN 2^16 Sieving project 3 45.1137 20 GFN 2^17 Sieving project 2.5 46.6601

#### 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.