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 677878 Great Internet Mersenne Prime Search by Woltman & Kurowski 18 58.5540 46261 PrimeGrid 3408 55.8693 19616 Prime Internet Eisenstein Search 47 55.0114 2673 Seventeen or Bust 6.5 53.0183 2656 Conjectures 'R Us 455.5 53.0120 1217 Riesel Prime Search 211.5 52.2312 572 The Prime Sierpinski Problem 3 51.4763 513 No Prime Left Behind (formerly: PrimeSearch) 265 51.3678 167 Twin Prime Search 52 50.2442 69 12121 Search 2.5 49.3546 68 Private GFN server 18 49.3530 59 Sierpinski/Riesel Base 5 8.5 49.2076 22 Riesel Sieve Project 8.5 48.2107 17 The Other Prime Search 17 47.9632 10 321search 2.5 47.4309 8 SRBase 2 47.2254 5 Yves Gallot's GFN Search Project 2.5 46.6601 5 Science United 1 46.7531 5 GFN 2^17 Sieving project 2.5 46.6601 3 Rechenkraft.net e.V. 0.5 46.2171

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.