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 1 Peter Benson 355 48.3074 2 Brian Lody 307 46.7278 3 Gary Barnes 247.5 46.7690 4 David Metcalfe 226 46.8823 5 James P. Burt 225 47.1487 6 Steven Harvey 217 47.1074 7 Daniel Heuer 207 47.7583 8 Ian M Gunn 204 47.0102 9 David Broadhurst 155.233 45.8131 10 Lei Zhou 126 47.1642 11 Lennart Vogel 118 46.0816 12 Predrag Minovic 116.2 46.7128 13 Peter Kaiser 109 45.4664 14 Bouk de Water 101.367 38.3070 15 Vaughan Davies 96 45.8160 16 Ruediger K. Eckhard 63 45.6422 16 Joseph Bohanon 63 46.5988 16 Lauren Kloska 63 45.5561 19 Thomas Ritschel 57 46.3560 20 David James 55 45.4113

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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.