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 307287 Great Internet Mersenne Prime Search by Woltman & Kurowski 17 57.6971 45992 PrimeGrid 3394.5 55.7978 20939 Prime Internet Eisenstein Search 50 55.0109 2855 Seventeen or Bust 6.5 53.0183 2693 Conjectures 'R Us 456.5 52.9599 1307 Riesel Prime Search 223 52.2374 611 The Prime Sierpinski Problem 3 51.4763 505 No Prime Left Behind (formerly: PrimeSearch) 255 51.2869 178 Twin Prime Search 50 50.2441 73 12121 Search 2.5 49.3546 73 Private GFN server 18 49.3530 63 Sierpinski/Riesel Base 5 8.5 49.2076 24 Riesel Sieve Project 9.5 48.2529 18 The Other Prime Search 17 47.9632 11 321search 2.5 47.4309 9 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.