This preprint makes the claim of having computed the $9^{th}$ Dedekind Number. This was done by building an efficient FPGA Accelerator for the core operation of the process, and parallelizing it on the Noctua 2 Supercluster at Paderborn University. The resulting value is 286386577668298411128469151667598498812366. This value can be verified in two steps. We have made the data file containing the 490M results available, each of which can be verified separately on CPU, and the whole file sums to our proposed value.
翻译:本预印本声称已计算出第9个戴德金数(Dedekind Number)。这是通过构建一个高效的FPGA加速器来处理该过程的核心运算,并在帕德博恩大学的Noctua 2超级计算集群上实现并行化完成的。所得到的数值为286386577668298411128469151667598498812366。该数值可以通过两步进行验证。我们已将包含4.9亿个结果的数据文件公开,每个结果均可单独在CPU上验证,且整个文件的总和等于我们提出的数值。