Busy Beaver Number BB(6) Shockingly Surpasses All Expectations

2025-06-29
Busy Beaver Number BB(6) Shockingly Surpasses All Expectations

Recent breakthroughs in Busy Beaverology have drastically increased the lower bound of BB(6), the 6th Busy Beaver number. Initially estimated to be greater than a number with 15 levels of exponents of 10, it's now known to be far larger, exceeding even 2^^^^9 (2 tetrated to 2 tetrated to 2 tetrated to 9). This astonishing jump suggests that BB(n) may become independent of the ZFC axioms of set theory much sooner than previously thought, prompting a reevaluation of the function's growth and posing new challenges for computational theory.

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