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 195 Paul Underwood 3.7 46.7901 196 Jens Kruse Andersen 3.3334 40.5356 197 Takahiro Nohara 3.3333 44.2918 197 Willem Siemelink 3.3333 44.2329 199 Jean Penné 3.2 44.1978 200 Dr. James McElhatton 3 41.1591 200 Shane Findley 3 43.1326 200 David W Linton 3 44.9635 200 Wataru Sakai 3 43.8353 200 Claude Abraham 3 42.0218 200 Wolfgang Schönrogge 3 42.0662 200 Peter Riesen 3 44.0584 200 Eric J. Sorensen 3 39.9527 200 Cedric Vonck 3 42.0395 200 Japke Rosink 3 45.5738 200 Douglas A. Wood 3 42.4398 200 Wes Cure 3 42.7977 200 Richard Hassler 3 47.3294 200 Colin Nish 3 42.6799 200 Ron Sheckler 3 42.5182 200 Preda Mihailescu 3 29.4063 200 Mike Lehmann 3 43.8605 200 Daniel Petat 3 43.8927 200 Michael Millette 3 42.4389 200 Wolfgang Straubinger 3 42.3093 200 Jacques Molné 3 42.0668 200 Scott Gilvey 3 48.6847 200 Bruno Usai 3 42.4362 200 Brendan Gallagher 3 42.2359 200 Masakatu Morii 3 40.7006 200 Martin Siegrist 3 42.3081 200 Brian Carpenter 3 41.9175 200 Pascal Vandaele 3 42.7977 200 Michael Spall 3 42.5935 200 Oleg Garbarenko 3 42.5725 200 Ulrich Hartel 3 42.5497 200 Kent McArthur 3 42.4850 200 Brock Reiter 3 42.2735 200 Jon Goral 3 41.7422 200 Mike Nicodemus 3 41.7375

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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.