Table of Contents

Seventeen Or Bust

primaboinca

Project Description

Seventeen Or Bust is a Distributed Computing project working on a problem in Number Theory called the Sierpinski Problem.

The aim of the project is to find primes of the form k * 2^n + 1, where k is one of the remaining 17 (now 6) candidates for Sierpinski numbers smaller than 78557, and n a positive integer. In order to find such a prime, we have a long queue of candidates, and we are running primality tests called PRP (PRobable Prime), which take a very long time, for every candidate in the queue. Because PRP takes so much computational power, we try to eliminate as many non-prime numbers as possible from the queue by Sieving, which means to take a (relatively) small integer and check whether it is a factor of one of the tests we are going to run. If there is a factor, the number is not prime and thus doesn't need to be tested. Finally, before running a particular test, one can make a last effort to find a factor for the particular k,n-pair in a few hours before running a test which will take several weeks. This is called Factoring.

Author(s)

Louie Helm lhelm@seventeenorbust.com

Louie Helm currently maintains the client code and has been maintaining public interest over the years. His focuses are primarily on the mathematics and the client design, as well as keeping in touch with project participants.

Louie supports research into artificial intelligence and rationality.

Michael Garrison sb@alienz.net

Mike is the Seventeen or Bust system administrator. He does an excellent job keeping the server alive. Before a generous donation allowed us to run the server at a data center, Mike maintained the machine at his house. This project would not be alive today without his gracious help.

Mike works full time for the University of Michigan and is still finishing up his CS degree at Eastern Michigan University.

David Norris danorris@seventeenorbust.com

David's work is much more of the behind-the-scenes type. He wrote much of the original system server code and all of the new server and interactive website code, including the statistics engine.

David works in a cube at an Army Corps of Engineers research lab in Illinois.

Credentials

Significant dates

Results

As of October 2007, Seventeen Or Bust has discovered ten huge prime numbers. The latest and largest discovery ranks as the seventh largest prime ever discovered, and it is the largest prime that is not a Mersenne Prime. Six of the ten primes rest in the Top 100.

k No Date Found by n Digits
4847 1 15.10.2005 Richard Hassler 3'321'063 999'744
5359 2 06.12.2003 Randy Sundquist 5'054'502 1'521'561
10223 3
19249 4 26.03.2007 Konstantin Agafonov 13'018'586 3'918'990
21181 5
22699 6
24737 7
27653 8 08.06.2005 Derek Gordon 9'167'433 2'759'677
28433 9 30.12.2004 Anonymous 7'830'457 2'357'207
33661 10 13.10.2007 Sturle Sunde 7'031'232 2'116'617
44131 11 05.12.2002 deviced (nickname) 995'972 299'823
46157 12 27.11.2002 Stephen Gibson 698'207 210'186
54767 13 22.12.2002 Peter Coels 1'337'287 402'569
55459 14
65567 15 03.12.2002 James Burt 1'013'803 305'190
67607 16
69109 17 07.12.2002 Sean DiMichele 1'157'446 348'431

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