Top person 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 person primes score 106490 Curtis Cooper 10 56.5769 95827 Patrick Laroche 1 56.4714 78069 Jonathan (Jon) Pace 1 56.2664 48641 Ryan Propper 316 55.7933 14240 Serge Batalov 306.833 54.5649 13135 Edson Smith 1 54.4841 12703 Odd Magnar Strindmo 1 54.4507 8336 Hans-Michael Elvenich 1 54.0294 5045 Steven R. Boone 1 53.5273 4871 Péter Szabolcs 1 53.4922 4092 Tom Greer 119 53.3180 2785 Dr. Martin Nowak 1 52.9330 2382 Dr. James Scott Brown 164 52.7768 2367 Anonymous Person(s) 219 52.7706 2199 Josh Findley 1 52.6968 1867 Pavel Atnashev 12 52.5331 1832 Rob Gahan 30 52.5143 1657 Kazuya Tanaka 1 52.4136 1454 Michael Shafer 1 52.2829 1453 Arno Lehmann 3 52.2822

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 person 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 person's primes are pushed off the list.