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magicsquare6 [2024/07/12 18:48] minomagicsquare6 [2025/08/15 14:08] (current) – [The number of magic squares of order six counted up to rotations and reflections] mino
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-This number has been confirmed by completing the enumeration twice using hundreds of GPUs at cloud resource rental services. Though the number and models of GPUs used varied over time, the initial enumeration took about 80,000 hours of GeForce RTX-4090 and the second enumeration with an improved code took about 54,000 hours.+[[https://www.youtube.com/playlist?list=PLO7sVdtn8C_Dg5_JHmelPUmDpI6LZqzBM|YouTube video]] explaining the method to achieve the enumeration.  [[https://ms6.sakura.ne.jp/Manuscript.pdf|manuscript]]  [[https://ms6.sakura.ne.jp/Algorithm.pdf|presentation slides]]  
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 +This number has been confirmed by completing the enumeration twice using hundreds of GPUs provided at cloud resource rental services. Though the number and models of GPUs used varied over time, the initial enumeration took about 80,000 hours of GeForce RTX-4090 and the second enumeration with an improved code took about 54,000 hours.
  
 As the result of the second enumeration, the initial result 17 753 889 189 701 384 304 As the result of the second enumeration, the initial result 17 753 889 189 701 384 304
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   * [[https://ms6.sakura.ne.jp/subsubtotal.txt.gz|List of subsubtotals]] (234MBytes .gz)    * [[https://ms6.sakura.ne.jp/subsubtotal.txt.gz|List of subsubtotals]] (234MBytes .gz) 
     * (18 of sub-subtoals are known to be incorrect, but are kept uncorrected intentionally.)     * (18 of sub-subtoals are known to be incorrect, but are kept uncorrected intentionally.)
- ===== Storategies and Codes =====+ ===== Strategies and codes =====
 [[strategies|Strategies in counting magic squares]] [[strategies|Strategies in counting magic squares]]
  
magicsquare6.1720777703.txt.gz · Last modified: 2024/07/12 18:48 by mino

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