Top projects sorted by score (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.

normalized project primes score 529300 Great Internet Mersenne Prime Search by Woltman & Kurowski 14 56.3333 14784 PrimeGrid 3694 52.7553 3789 Seventeen or Bust 8 51.3938 2418 Riesel Prime Search 638 50.9445 522 The Prime Sierpinski Problem 5.5 49.4123 324 No Prime Left Behind (formerly: PrimeSearch) 195 48.9341 280 Conjectures 'R Us 91 48.7902 200 Riesel Sieve Project 24.5 48.4500 107 Sierpinski/Riesel Base 5 34 47.8289 98 12121 Search 8.5 47.7386 75 321search 4.5 47.4713 56 Yves Gallot's GFN Search Project 13.5 47.1810 46 The Other Prime Search 24 46.9761 33 GFN 2^17 Sieving project 2.5 46.6601 29 Twin Prime Search 12 46.5312 28 Generalized Woodall Prime Search 9 46.4888 11 Free-DC's Prime Search 8 45.5623 8 Mat's Prime Search 2 45.1733 7 GFN 2^16 Sieving project 3 45.1137 4 Prime Internet Eisenstein Search 15 44.5012

#### Notes:

normalized score

Just how do you make sense out of something as vague as our 'score' for primes? One possibility is to compare the amount of effort involved in earning that score, with the effort required to find the 5000th prime on the list. The normalized score does this: it is the number of primes that are the size of the 5000th, required to earn the same score (rounded to the nearest integer).

Note that if a project stops finding primes, its normalized score will steadily drop as the size of the 5000th primes steadily increases. The non-normalized scores drop too, but not as quickly because they only drop when the project's primes are pushed off the list.