Top person sorted by number of primes

At this site we keep several lists of primes, most notably the list of the 5,000 largest known primes. Who found the most of these record primes? We keep separate counts for persons, projects and programs. To see these lists click on 'number' to the right.

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 216 Willem Siemelink 4.8333 46.8559 217 Dmitrij Sesok 4.5 47.6682 218 John Renze 4.45 37.0765 219 David Underbakke 4 46.4402 219 Ruediger K. Eckhard 4 47.7547 219 Karsten Bonath 4 46.8659 219 Dale Laluk 4 47.3199 219 Rick Reynolds 4 48.0085 219 Yuki Yoshigoe 4 47.9028 219 John Sheridan 4 47.5474 219 Evelyn Chew 4 48.1508 219 Sylvanus A. Zimmerman 4 52.2575 219 Robert Lacroix 4 47.9765 219 Andrew M Farrow 4 49.9997 219 Yuhei Asano 4 48.1708 219 Ross Goudie 4 47.0226 219 Thomaz Santana 4 47.1827 219 Randy Eldredge 4 49.0085 219 Eli T. Drumm 4 48.9750 219 David Bestor 4 48.2295 219 Tyler Bredl 4 47.4778 219 Bart van Rooijen 4 46.8478 219 Jay Parangalan 4 47.5858 219 Rod Skinner 4 49.2391 219 Jens Riemann 4 48.2154 219 Gregory Coscia 4 48.0783 219 Lorin Arnold 4 49.0704 219 Robert Heindl 4 48.5317 219 James S. Gilliland 4 47.9422 219 Harsh Aggarwal 4 46.9604 219 James Early 4 48.0507 219 Daniel Frużyński 4 47.9872 219 Hendrik Schawe 4 47.8864 219 Rudi Tapper 4 51.6208 219 Kai Gerstenberger 4 48.9310 219 Gary Bauer 4 48.1755 219 Mike Kinney 4 47.9232 219 Kristine Wozny 4 46.8929 219 Alvaro Morera 4 48.1576 219 Arne Sielemann 4 47.9273 219 Lars Fricke 4 47.3976 219 Todd Pickering 4 49.1319 219 William de Thomas 4 48.6019 219 Dawid Kwiatkowski 4 48.4488 219 Alan E. Monroe 4 48.2969 219 Alexander Cherenkov 4 47.5479 219 Paweł Dec 4 48.0013 219 Barry Schnur 4 50.4782 219 Joshua Brown 4 48.1281 219 Andreas Jourdan 4 48.0816 219 Vassili Koriabine 4 48.0497 219 NitaMinttu Tirkkonen 4 48.0378 219 Sven Jungmann 4 48.0346 219 Mischa Rodermond 4 47.4248 219 Matej Rizman 4 46.8049 219 Prescott Thompson 4 48.5121 219 Jonathan Drake 4 48.2838 219 Friedrich Yuhma Steinwedel 4 47.9981 219 Greg Nelson 4 47.4908

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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.<\p>