ABC @ Home

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ABC @ Home
Area: mathematics
Target: Finding triples for the abc conjecture
Operator: Math. Institute of the University of Leiden
Country: Netherlands
Platform: BOINC
Website: https://www.math.leidenuniv.nl/~desmit/abc/index.php?set=1
Project status
Status: inactive
Start: December 2006
The End: unknown

ABC @ Home is a distributed computing project run by the Mathematics Institute at Leiden University . In order to find the abc hits among all triples of relatively prime natural numbers up to 10 18 , in which the third number is the sum of the other two numbers, the unused computing power is used on several thousand private and institutional computers: ABC @ home runs automatically using the BOINC platform in the background. Until 2011, the application was running on around 112,000 computers in 183 countries worldwide. The most successful German team is SETI.Germany as the team with the fourth largest achieved computing power in the world. After reaching the original goal, the search should continue until 2 63 -1, up to the largest positive number that can be represented on 64-bit systems and which corresponds to ~ 9.22 .. * 10 18 .

The a b c conjecture is a mathematical conjecture established by Joseph Oesterlé and David Masser in 1985 , which, because of its difficulty and even more because of its importance, is a prominent successor to the solved Fermat conjecture . Dorian Goldfeld even described it as the most important unsolved problem of Diophantine analysis.

Web links

Individual evidence

  1. ↑ Computer statistics on boincstats.com ( Memento from November 14, 2011 in the Internet Archive ), accessed on November 14, 2011.
  2. ↑ Country statistics on boincstats.com ( memento of November 14, 2011 in the Internet Archive ), accessed on November 14, 2011.
  3. ↑ Team statistics on boincstats.com ( Memento from November 14, 2011 in the Internet Archive ), accessed on November 14, 2011
  4. ↑ Willem Jan Palenstijn: Enumerating ABC triples. ( Memento of February 3, 2014 in the Internet Archive ) (PDF; 816 kB), accessed on February 14, 2011.
  5. ↑ The Amazing ABC Conjecture ( Memento June 28, 2013 in the Internet Archive ).