Top project sorted by 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 412757 Great Internet Mersenne Prime Search by Woltman & Kurowski 18 58.5540 37146 PrimeGrid 3693.5 56.1460 11941 Prime Internet Eisenstein Search 43 55.0111 1966 Conjectures 'R Us 395 53.2072 1628 Seventeen or Bust 6.5 53.0183 785 Riesel Prime Search 144.5 52.2896 348 The Prime Sierpinski Problem 3 51.4763 272 No Prime Left Behind (formerly: PrimeSearch) 166 51.2294 104 Twin Prime Search 51 50.2708 41 12121 Search 1.5 49.3399 41 Private GFN server 17.5 49.3455 34 Sierpinski/Riesel Base 5 5.5 49.1427 10 Riesel Sieve Project 4.5 47.9202 10 The Other Prime Search 16 47.8981 5 321search 1.5 47.2705 5 SRBase 1.5 47.1495 5 Science United 1.5 47.2359 4 Rechenkraft.net e.V. 1 46.9326 2 Yves Gallot's GFN Search Project 1.5 46.3591 2 GFN 2^17 Sieving project 1.5 46.3591

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.