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 130 Yves Gallot 5 46.0216 130 Raffi Chaglassian 5 41.5526 130 Keith Klahn 5 42.8736 130 Jeff Morales 5 43.0086 130 Joerg Steinmetz 5 42.9572 130 Rolf Henrik Nilsson 5 42.8611 130 Boris Iskra 5 44.2592 130 Jaromir Muzik 5 45.2660 130 Ed Goforth 5 44.3824 130 Ben Rhodes 5 42.8209 130 Manfred Toplic 5 44.9485 130 Michael Richard Eaton 5 44.4385 130 Laurent Lucas 5 42.5374 130 Matthew Peets 5 32.1086 130 Giovanni Di Maria 5 44.7126 130 Gary Desmond 5 43.0494 130 Dmitry Domanov 5 43.2929 130 Mark Codding 5 42.9260 130 Morihiko Tamai 5 42.8314 130 Frank Clowes 5 45.3530 130 Chris Siegert 5 43.2122 130 Pietari Snow 5 42.8273 130 John Cosgrave 5 46.2621 130 Mark Brittenham 5 43.7853 130 Fred Richard 5 43.0228 130 Szymon Banka 5 46.5298 130 Jeff Webster 5 42.5946 130 Robert Scullin 5 42.2658

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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.