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 230534 Great Internet Mersenne Prime Search by Woltman & Kurowski 18 58.5540 28683 PrimeGrid 4041.5 56.4699 6875 Prime Internet Eisenstein Search 30 55.0414 1053 Conjectures 'R Us 235.5 53.1654 909 Seventeen or Bust 6.5 53.0183 408 Riesel Prime Search 102.5 52.2183 194 The Prime Sierpinski Problem 2 51.4713 112 No Prime Left Behind (formerly: PrimeSearch) 64 50.9275 63 Twin Prime Search 58 50.3470 55 Science United 2.5 50.2219 23 12121 Search 1.5 49.3399 22 Private GFN server 16.5 49.3091 19 Sierpinski/Riesel Base 5 5 49.1267 5 The Other Prime Search 15 47.7795 4 Riesel Sieve Project 2.5 47.6367 4 Rechenkraft.net e.V. 1.5 47.5265 3 321search 1.5 47.2705 2 SRBase 1 46.9962 0 Free-DC's Prime Search 0 0.0000 0 Generalized Woodall Prime Search 0 0.0000

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.