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Dedekind Numbers

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

Originally Published 19 days ago — by IFLScience

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Source: IFLScience

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.

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

Originally Published 2 years ago — by Livescience.com

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Source: Livescience.com

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.