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

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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