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 158 Dr. Dirk Augustin 4.6667 36.8043 158 Christ van Willegen 4.6667 43.0918 160 Darren Bedwell 4.5 42.3046 160 David Slowinski 4.5 43.3838 162 Hans Rosenthal 4.3334 42.3717 163 Paul Jobling 4.25 41.3016 164 John Metcalf 4 43.1097 164 Gary Chaffey 4 42.5594 164 Robert W. Smith 4 43.3723 164 Chad Davis 4 42.8826 164 Richard Kapek 4 43.9153 164 Michael Bell 4 27.4388 164 Nikolay Kamenyuk 4 43.4683 164 Jochen Beck 4 43.0618 164 Douglas Stones 4 42.6182 164 Micha Fleuren 4 43.0337 164 Lars Dausch 4 45.5420 164 Anand S Nair 4 36.3630 164 Rob Binnekamp 4 42.6262 164 Andy Hedges 4 45.2367 164 Pierre Cami 4 42.8032 164 Ian Dickinson 4 42.4691 164 Steven Wong 4 45.5330 164 Dave Sunderland 4 42.8487 164 Hugo Platzer 4 42.9516 164 Mike Parker 4 42.4326 164 Ville Koskinen 4 42.9584 164 Catherine Chaton 4 42.6980 164 Simon Yakovlev 4 42.8377 164 Bradford Nye 4 42.3020 164 Markus Schoenberger 4 42.0602 164 Shaun Luckham 4 42.9626 164 Mike Ingram 4 42.5766 164 Drew Bishop 4 45.1063 164 Thomas Leps 4 43.0854 164 Lars Wallin 4 42.0354 164 Ray Chandler 4 32.7128

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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.