Talk:Busy Beaver Frontier: Difference between revisions

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I think the first Busy Beaver function values that exceed the largest numbers ever constructed by humans using computable methods are BB(14), BB(8,3), BB(6,4), BB(5,5), BB(4,6), BB(3,8), and BB(2,13).
I think the first Busy Beaver function values that exceed the largest numbers ever constructed by humans using computable methods are BB(14), BB(8,3), BB(6,4), BB(5,5), BB(4,6), BB(3,8), and BB(2,13).


I think BB(6) won't exceed <math>f_\omega(36)</math>, BB(3,3) won't exceed <math>10^{1000}</math>, and BB(2,5) won't exceed <math>10\uparrow\uparrow 1000</math>.
I think BB(6) won't exceed <math>f_\omega(1000)</math>, BB(3,3) won't exceed <math>10^{1000}</math>, and BB(2,5) won't exceed <math>10\uparrow\uparrow 1000</math>.


[[User:Jacobzheng|Jacobzheng]] ([[User talk:Jacobzheng|talk]]) 15:24, 13 October 2026 (UTC)
[[User:Jacobzheng|Jacobzheng]] ([[User talk:Jacobzheng|talk]]) 15:24, 13 October 2026 (UTC)

Latest revision as of 07:55, 14 October 2026

I'm adding a few more guesses:

I think the first busy beaver function values that exceed Graham's number are BB(7), BB(4,3), BB(3,4), and BB(2,6).

I think the first Busy Beaver function values that exceed the largest numbers ever constructed by humans using computable methods are BB(14), BB(8,3), BB(6,4), BB(5,5), BB(4,6), BB(3,8), and BB(2,13).

I think BB(6) won't exceed fω(1000), BB(3,3) won't exceed 101000, and BB(2,5) won't exceed 10↑↑1000.

Jacobzheng (talk) 15:24, 13 October 2026 (UTC)