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 106 Bruce E. Slade 7.5 43.0342 107 Jeffrey Young 7 39.6095 107 Jeffrey Sax 7 43.1635 107 Steve Anderegg 7 43.9244 107 Paul van den Berg 7 44.8004 107 Jay Berg 7 44.3354 107 Janis Grinbergs 7 43.6872 107 Ikumi Yuki 7 43.0457 107 Paulo Silva 7 43.6420 107 Lukas Hron 7 43.0547 107 Peter Tibbott 7 43.1294 117 Bo Xiao 6 43.7995 117 Peter O'braian 6 42.6142 117 Ian J Brown 6 42.7380 117 Pavlos Saridis 6 42.3714 117 Robert M Weis 6 43.1279 117 Daniel Hermle 6 43.8455 117 Simeon I. B. Ayeni 6 45.1543 117 Gerald C. Snyder 6 43.9915 117 Patrick Schöfer 6 42.9951 117 Raf Vaes 6 42.9122 117 Stephen Moody 6 42.9636 117 Michael Frith 6 42.4522 117 Dr. Michael Paridon 6 33.0372

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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.