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Dedekind Numbers

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mathematics20 days ago

The 9th Dedekind Number: A 32-Year Quest and the Elusive 10th

Dedekind numbers are a sequence of mathematical values with complex growth, first studied by Richard Dedekind, and are extremely difficult to compute beyond the eighth term due to their exponential complexity. The ninth Dedekind number was only recently discovered through advanced computational methods, but finding the tenth may be impossible for the foreseeable future due to the astronomical computational power required.

mathematics2 years ago

"Supercomputers crack unsolvable number puzzle after 32-year quest"

Mathematicians have used supercomputers to calculate the value of the "ninth Dedekind number" or D(9), a complex number that was previously thought to be impossible to calculate. The number represents the number of possible configurations of a certain kind of true-false logical operation in different spatial dimensions. Two separate research groups produced the exact same number for D(9), confirming its accuracy. Dedekind numbers get exponentially larger for each new dimension, making them increasingly difficult to calculate. The newly identified value for D(9) is 286386577668298411128469151667598498812366.