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.

rank person primes score 625 Jens Franke 0.5833 32.6422 625 T . Kleinjung 0.5833 32.6422 625 T. Wirth 0.5833 32.6422 628 Markus Frind 0.5 24.6901 628 Karen Dowd 0.5 43.0792 628 Jérôme Le Bouec 0.5 41.9987 628 Nicholas M. Glover 0.5 39.1453 628 Luther Welsh, Jr. 0.5 35.4657 628 Walter N. Colquitt 0.5 35.4657 628 Lih Y. Deng 0.5 32.9791 635 Carlos B. Rivera F. 0.3333 41.1631 635 George F. Woltman 0.3333 39.7147 635 Gennady N. Gusev 0.3333 39.7147 635 Syoichiro Yamada 0.3333 43.0767 635 Patrick De Geest 0.3333 41.1631 635 Zsuzsi Mate 0.3333 43.0267 635 P/Ba team 0.3333 41.1631 635 Leon Marchal 0.3333 39.5549

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Notes:

Number of primes

When counting primes we decided that if three people (persons) went together to find a prime, each should get credit for 1/3 of a prime. The same is true for projects, however programs get full credit for each prime (to encourage honest reporting of what programs where used). Persons, programs and projects are three separate categories and do not compete against each other.

For example, suppose the persons 'Carmody' and 'Caldwell' worked together and used the program 'PRP' to test candidates selected by the 'GFN 2^13 Sieving project', then completed their proofs using 'Proth.exe'. Then the persons 'Carmody' and 'Caldwell' would get 1/2 credit for each prime found; but the project 'GFN 2^13 Sieving project' and the programs 'PRP' and 'Proth.exe' would each get full credit.