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 55 Chris Caldwell 15 43.4095 55 Andrew A. D. Steward 15 37.5180 55 Robert L. Hillegas, Jr. 15 44.4037 55 Alan J Hidy 15 44.3430 55 Max Dettweiler 15 44.3867 60 Maksym Voznyy 14 44.1597 60 Jim Foody 14 43.8321 60 Tim Rickard 14 43.9867 60 Dhumil Zaveri 14 46.0045 60 Dr Peter Blench 14 43.5090 65 Rune Fredriksen 13 43.4654 65 Andreas Kobara 13 44.0529 67 Patrick W. McKibbon 12.6667 43.9042 68 Eric Ueda 12 43.7039 68 Bob Bruen 12 44.0355 68 Glenn C. Kaiser 12 43.6740 71 Tadashi Taura 11 46.4554 71 Guenter Loeh 11 43.7079 71 Kevin Odermatt 11 44.8587 71 Bernardo Boncompagni 11 43.3255 71 Johnathan Chu 11 43.7063

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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.