Top persons sorted by score (Another of the Prime Pages' resources)

The Prover-Account Top 20
Persons by: number score normalized score
Programs by: number score normalized score
Projects by: number score 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 235638 Curtis Cooper 28 55.5306 82748 Edson Smith 1 54.4841 80027 Odd Magnar Strindmo 1 54.4507 52516 Hans-Michael Elvenich 1 54.0294 31784 Steven R. Boone 1 53.5273 17544 Dr. Martin Nowak 1 52.9330 13854 Josh Findley 1 52.6968 9158 Michael Shafer 1 52.2829 2352 Michael Cameron 1 50.9234 2120 Konstantin Agafonov 1 50.8197 1322 Randy Ready 702 50.3477 1156 Peter Benson 259 50.2136 918 Masashi Kumagai 4 49.9829 853 Tim McArdle 1 49.9091 845 Peyton Hayslette 2 49.8995 724 Derek Gordon 1 49.7454 723 Patrice Salah 1 49.7436 636 Serge Batalov 51 49.6162 574 Michael Goetz 1 49.5136 447 Ars Technica Team Prime Rib 1 49.2624

#### 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.