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 196 Paul Underwood 3.7 46.7901 197 Jens Kruse Andersen 3.3334 40.5356 198 Takahiro Nohara 3.3333 44.2918 198 Willem Siemelink 3.3333 44.2329 200 Jean Penné 3.2 44.1978 201 Dr. James McElhatton 3 41.1591 201 Shane Findley 3 43.1326 201 David W Linton 3 44.9635 201 Wataru Sakai 3 43.8353 201 Claude Abraham 3 42.0218 201 Wolfgang Schönrogge 3 42.0662 201 Peter Riesen 3 44.0584 201 Eric J. Sorensen 3 39.9527 201 Martyn Ronald Woodward 3 41.7790 201 Cedric Vonck 3 42.0395 201 Adam Ferralli 3 42.1155 201 Japke Rosink 3 45.5738 201 Douglas A. Wood 3 42.4398 201 John S Morris III 3 42.5897 201 Wes Cure 3 42.7977 201 Richard Hassler 3 47.3294 201 Colin Nish 3 42.6799 201 Ron Sheckler 3 42.5182 201 Preda Mihailescu 3 29.4063 201 Mike Lehmann 3 43.8605 201 Daniel Petat 3 43.8927 201 Michael Millette 3 42.4389 201 Jacques Molné 3 42.0668 201 Scott Gilvey 3 48.6847 201 Bruno Usai 3 42.4362 201 Brendan Gallagher 3 42.2359 201 Masakatu Morii 3 40.7006 201 Martin Siegrist 3 42.3081 201 Brian Carpenter 3 41.9175 201 Pascal Vandaele 3 42.7977 201 Michael Spall 3 42.5935 201 Oleg Garbarenko 3 42.5725 201 Ulrich Hartel 3 42.5497 201 Kent McArthur 3 42.4850 201 Brock Reiter 3 42.2735 201 Vince Splain 3 41.7462 201 Jon Goral 3 41.7422

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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.