Champions - Revision history

Jacobzheng at 12:45, 18 October 2026

2026-10-18T12:45:36Z

← Older revision		Revision as of 12:45, 18 October 2026
Line 278:		Line 278:
	\|-		\|-
	\|BB(5,4)		\|BB(5,4)
	\|<math>> f_\omega^2(10\uparrow^4 10\uparrow\uparrow ~~65533~~)</math>		\|<math>> f_\omega^2(10\uparrow^4 10\uparrow\uparrow 65\,533)</math>
	\|<span style="word-break:break-all">{{TM\|1LD2RA3RB1LC_1LD2LA3RB---_2RA1LA3RC2LC_2RA---2LD2LE_------1RZ1LD\|halt}}</span>		\|<span style="word-break:break-all">{{TM\|1LD2RA3RB1LC_1LD2LA3RB---_2RA1LA3RC2LC_2RA---2LD2LE_------1RZ1LD\|halt}}</span>
	\|Jacobzheng in 2026		\|Jacobzheng in 2026
Line 393:		Line 393:
	\|-		\|-
	\|BB(134,7)		\|BB(134,7)
	\|<math>> f_{\psi_0(\Omega_\omega)}(~~2050~~)</math>		\|<math>> f_{\psi_0(\Omega_\omega)}(2\,050)</math>
	\|		\|
	\|LittlePeng9+Wythagoras in 2014<ref>https://googology.fandom.com/wiki/User:Wythagoras/Rado%27s_sigma_function/Analysis_of_LittlePeng9%27s_work/Hydra_machines</ref>		\|LittlePeng9+Wythagoras in 2014<ref>https://googology.fandom.com/wiki/User:Wythagoras/Rado%27s_sigma_function/Analysis_of_LittlePeng9%27s_work/Hydra_machines</ref>

Loader3229: /* 2-Symbol TMs */

2026-10-14T23:02:58Z

2-Symbol TMs

← Older revision		Revision as of 23:02, 14 October 2026
Line 57:		Line 57:
	\|{{TM\|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_1LC0RH_1RG1LF\|halt}}		\|{{TM\|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_1LC0RH_1RG1LF\|halt}}
	\|[https://discord.com/channels/960643023006490684/1448375857046360094/1556422395776995408 Jeff Ketchersid in 2026]		\|[https://discord.com/channels/960643023006490684/1448375857046360094/1556422395776995408 Jeff Ketchersid in 2026]
	\|[https://github.com/jeff87654/busy-beaver/tree/main/BB8 Analysis]		\|[https://github.com/jeff87654/busy-beaver/tree/main/BB8 Analysis] Not independently verified.
	\|-		\|-
	\|BB(9)		\|BB(9)
Line 63:		Line 63:
	\|{{TM\|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1LI0LC_1RG1LD_0RH0RF_0RG0RE_0LH1RZ\|halt}}		\|{{TM\|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1LI0LC_1RG1LD_0RH0RF_0RG0RE_0LH1RZ\|halt}}
	\|[https://discord.com/channels/960643023006490684/1331570843829932063/1557495370014130300 Jeff Ketchersid in 2026]		\|[https://discord.com/channels/960643023006490684/1331570843829932063/1557495370014130300 Jeff Ketchersid in 2026]
	\|[https://github.com/jeff87654/busy-beaver/tree/main/BB9 Analysis]		\|[https://github.com/jeff87654/busy-beaver/tree/main/BB9 Analysis] Not independently verified.
	\|-		\|-
	\|BB(10)		\|BB(10)
Line 84:		Line 84:
	\|-		\|-
	\|BB(13)		\|BB(13)
	\|		\|<math>> f_{\omega+2}(f_\omega(20))</math>
	\|		\|<span style="word-break:break-all">{{TM\|1LB1LA_1RC0LA_1RD1RC_1RE1RK_1RF0LJ_0LG1RI_1RE0RH_1LF0RC_1RM0LE_1LA1LE_0LL1LB_0RM1LL_1RZ1RH\|halt}}</span>
	\|		\|Jeff Ketchersid in 2026
	\|		\|[https://github.com/jeff87654/busy-beaver/tree/main/BB13 Analysis] Not independently verified.
	\|-		\|-
	\|BB(14)		\|BB(14)
	\|		\|<math>> f_{\omega+2}^3(15)</math>
	\|		\|<span style="word-break:break-all">{{TM\|1RB1RA_1RI1RC_0LD1LG_0RE1LD_1LN1RF_1LJ0RA_1RA0LH_1LG1LH_1RK0LM_1RZ0LE_0LE0RJ_1LH1LM_0LH0LL_0LG1LN\|halt}}</span>
	\|		\|Jeff Ketchersid in 2026
	\|		\|[https://github.com/jeff87654/busy-beaver/tree/main/BB14 Analysis] Not independently verified.
	\|-		\|-
	\|~~BB(15)~~		\|...
	\|
	\|
	\|
	\|
	\|-
	~~\|BB(16)~~
	~~\|<math>> f_{\omega + 1}^3(f_\omega^2(f_6^2(3)))</math>~~
	~~\|<span style="word-break:break-all">{{TM\|1RB1RA_1RH0RC_1RB1LD_0LD1LE_1LF1RG_1RA0LE_0RE1LD_1LO1RI_1RZ1RJ_0LO0RK_1LO0LL_0LL1LM_1RA1LN_0LM0LM_1LP1LO_0LA1LO\|halt}}</span>~~
	~~\|Jacobzheng in 2026~~
	\|
	\|-
	~~\|BB(17)~~
	~~\|<math>> f_{\omega + 2}(f_{\omega + 1}^2(f_{\omega}^2(60)))</math>~~
	~~\|<span style="word-break:break-all">{{TM\|0RE1LD_0RH0RC_1RB1LD_0LD1LE_1LF1RA_1RG0LE_1RB1RG_1RL0LI_0LI1LJ_1LK1LK_1RG0LJ_0LP1RM_1RZ0LN_1LO1LN_0LG1LN_1LQ1LP_0LO1LP\|halt}}</span>~~
	~~\|Jacobzheng in 2026~~
	\|
	\|-
	~~\|BB(18)~~
	~~\|<math>> f_{\omega + 2}(f_{\omega + 1}^3(f_{\omega}^2(60)))</math>~~
	~~\|<span style="word-break:break-all">{{TM\|0RH1LD_0RI0RC_1RB1LD_0LD1LE_1LF1RA_1RG0LE_1RB1RG_1RE1RA_1RM0LJ_0LJ1LK_1LL1LL_1RG0LK_0LQ1RN_1RZ0LO_1LP1LO_0LG1LO_1LR1LQ_0LP1LQ\|halt}}</span>~~
	~~\|Jacobzheng in 2025~~
	\|
	\|-
	~~\|BB(19)~~
	\|		\|
	\|		\|
Line 135:		Line 111:
	\|<span style="word-break:break-all">{{TM\|0LI0LF_0RJ1RG_0RD1LC_1RH1RE_1LO0RH_1LA1LF_0LC1LA_1RB1RH_1RD0LF_1LP0RK_0LM1LL_0LL1LM_1LE1LN_0RQ0LM_0RP1LO_1LR0RH_1LF1RQ_1RZ0LS_1LH0LT_1LH1LU_0LE1LR\|halt}}</span>		\|<span style="word-break:break-all">{{TM\|0LI0LF_0RJ1RG_0RD1LC_1RH1RE_1LO0RH_1LA1LF_0LC1LA_1RB1RH_1RD0LF_1LP0RK_0LM1LL_0LL1LM_1LE1LN_0RQ0LM_0RP1LO_1LR0RH_1LF1RQ_1RZ0LS_1LH0LT_1LH1LU_0LE1LR\|halt}}</span>
	\|[https://discord.com/channels/960643023006490684/1026577255754903572/1274471360206344213 Racheline in 2024]		\|[https://discord.com/channels/960643023006490684/1026577255754903572/1274471360206344213 Racheline in 2024]
	\|
	\|-
	~~\|...~~
	\|
	\|
	\|
	\|		\|
	\|-		\|-

Jacobzheng: update

2026-10-14T05:24:23Z

update

@@ Line 300: / Line 300: @@
 |Pavel Kropitz in 2024
 |[https://www.sligocki.com/2024/05/22/bb-3-4-a14.html Analysis by Shawn Ligocki]
 |-
 |...

Jacobzheng at 08:38, 13 October 2026

2026-10-13T08:38:25Z

← Older revision		Revision as of 08:38, 13 October 2026
Line 78:		Line 78:
	\|-		\|-
	\|BB(12)		\|BB(12)
	\|<math>> f_{\omega+1}^2(2 \uparrow^{36} 3) ~~> g_{64}~~</math>		\|<math>> f_{\omega+1}^2(2 \uparrow^{36} 3)</math>
	\|<span style="word-break:break-all">{{TM\|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1LI0LC_0RG1LD_1RH1LG_1LC0RG_0LJ0LI_1RK0LC_0RL---_0RF1RZ\|halt}}</span>		\|<span style="word-break:break-all">{{TM\|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1LI0LC_0RG1LD_1RH1LG_1LC0RG_0LJ0LI_1RK0LC_0RL---_0RF1RZ\|halt}}</span>
	\|Jeff Ketchersid in 2026		\|Jeff Ketchersid in 2026
Line 90:		Line 90:
	\|-		\|-
	\|BB(14)		\|BB(14)
	\|~~<math>> f_{\omega + 1}(f_\omega^4(f_7(3)))</math>~~		\|
	\|~~<span style="word-break:break-all">{{TM\|0LH0LL_1RI1RC_0LD1LG_0RE1LD_---1RF_---0RM_1RM0LH_1LG1LH_0LN0RJ_1RZ0LK_0LK1LL_1LG1LA_1RB1RM_0LG1LN\|halt}}</span>~~		\|
	\|~~Jacobzheng in 2026~~		\|
	\|		\|
	\|-		\|-
	\|BB(15)		\|BB(15)
	\|~~<math>> f_{\omega + 1}^2(10^{10^{57}})</math>~~		\|
	\|~~<span style="word-break:break-all">{{TM\|1LN1RI_1RA0RC_1RB1LD_0LD1LE_1LF1RG_1RH0LE_0RE1LD_1RB1RH_1RZ0RJ_1LN0LK_0LK1LL_1LM1LM_1RH0LL_1LO1LN_0LH1LN\|halt}}</span>~~		\|
	\|~~Jacobzheng in 2026~~		\|
	\|		\|
	\|-		\|-

Jacobzheng at 08:37, 13 October 2026

2026-10-13T08:37:31Z

← Older revision		Revision as of 08:37, 13 October 2026
Line 78:		Line 78:
	\|-		\|-
	\|BB(12)		\|BB(12)
	\|		\|<math>> f_{\omega+1}^2(2 \uparrow^{36} 3) > g_{64}</math>
	\|		\|<span style="word-break:break-all">{{TM\|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1LI0LC_0RG1LD_1RH1LG_1LC0RG_0LJ0LI_1RK0LC_0RL---_0RF1RZ\|halt}}</span>
	\|		\|Jeff Ketchersid in 2026
	\|		\|[https://github.com/jeff87654/busy-beaver/tree/main/BB12 Analysis] Not independently verified.
	\|-		\|-
	\|BB(13)		\|BB(13)

Loader3229 at 09:10, 9 October 2026

2026-10-09T09:10:34Z

← Older revision		Revision as of 09:10, 9 October 2026
Line 60:		Line 60:
	\|-		\|-
	\|BB(9)		\|BB(9)
	\|<math>> f_\omega(2 \uparrow^{13} 3~~) > f_\omega(f_{13}(2)~~) > f_\omega^2(12)</math>		\|<math>> f_\omega(2 \uparrow^{13} 3) > f_\omega^2(12)</math>
	\|{{TM\|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1LI0LC_1RG1LD_0RH0RF_0RG0RE_0LH1RZ\|halt}}		\|{{TM\|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1LI0LC_1RG1LD_0RH0RF_0RG0RE_0LH1RZ\|halt}}
	\|[https://discord.com/channels/960643023006490684/1331570843829932063/1557495370014130300 Jeff Ketchersid in 2026]		\|[https://discord.com/channels/960643023006490684/1331570843829932063/1557495370014130300 Jeff Ketchersid in 2026]

Loader3229: /* 2-Symbol TMs */

2026-10-09T07:02:52Z

2-Symbol TMs

← Older revision		Revision as of 07:02, 9 October 2026
Line 69:		Line 69:
	\|<span style="word-break:break-all">{{TM\|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1LI0LC_0RG1LD_1RH1LG_1LC0RG_0LJ0LI_1RZ0LC\|halt}}</span>		\|<span style="word-break:break-all">{{TM\|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1LI0LC_0RG1LD_1RH1LG_1LC0RG_0LJ0LI_1RZ0LC\|halt}}</span>
	\|[https://discord.com/channels/960643023006490684/1331570843829932063/1557806386073702622 Jeff Ketchersid in 2026]		\|[https://discord.com/channels/960643023006490684/1331570843829932063/1557806386073702622 Jeff Ketchersid in 2026]
	\|[https://github.com/jeff87654/busy-beaver/tree/main/BB10 Analysis]		\|[https://github.com/jeff87654/busy-beaver/tree/main/BB10 Analysis] Not independently verified.
	\|-		\|-
	\|BB(11)		\|BB(11)

Loader3229: /* 2-Symbol TMs */

2026-10-09T06:45:48Z

2-Symbol TMs

← Older revision		Revision as of 06:45, 9 October 2026
Line 66:		Line 66:
	\|-		\|-
	\|BB(10)		\|BB(10)
	\|<math>> f_{\omega+1}(2 \uparrow^{37} 3) > g_{64}</math>		\|<math>> f_{\omega+1}(2 \uparrow^{36} 3) > g_{64}</math>
	\|<span style="word-break:break-all">{{TM\|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1LI0LC_0RG1LD_1RH1LG_1LC0RG_0LJ0LI_1RZ0LC\|halt}}</span>		\|<span style="word-break:break-all">{{TM\|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1LI0LC_0RG1LD_1RH1LG_1LC0RG_0LJ0LI_1RZ0LC\|halt}}</span>
	\|[https://discord.com/channels/960643023006490684/1331570843829932063/1557806386073702622 Jeff Ketchersid in 2026]		\|[https://discord.com/channels/960643023006490684/1331570843829932063/1557806386073702622 Jeff Ketchersid in 2026]

Loader3229: /* 2-Symbol TMs */

2026-10-09T06:44:07Z

2-Symbol TMs

← Older revision		Revision as of 06:44, 9 October 2026
Line 72:		Line 72:
	\|-		\|-
	\|BB(11)		\|BB(11)
	\|~~<math>> f_\omega^2(10 \uparrow^4 4)</math>~~		\|
	\|~~<span style="word-break:break-all">{{TM\|1RB1RA_1LH1RC_0LD0LG_0RE1LD_1RA1RF_---0RA_1LC1LG_1LJ1LI_1LK1LJ_1RZ0LI_1RA1LH\|halt}}</span>~~		\|
	\|~~Jacobzheng in 2026~~		\|
	\|		\|
	\|-		\|-
	\|BB(12)		\|BB(12)
	\|~~<math>> f_\omega^4(2 \uparrow\uparrow\uparrow 4-3) > f_\omega^4(f_4(2))</math>~~		\|
	\|~~<span style="word-break:break-all">{{TM\|0LJ0RF_1LH1RC_0LD0LG_0RE1LD_1RF1RA_1RB1RF_1LC1LG_1LL1LI_1LK0LH_1RH1LJ_1RZ1LA_1RF1LL\|halt}}</span>~~		\|
	\|~~Racheline in 2024~~		\|
	\|		\|
	\|-		\|-
	\|BB(13)		\|BB(13)
	\|~~<math>> f_{\omega + 1}(2046) > g_{64}</math>~~		\|
	\|~~<span style="word-break:break-all">{{TM\|1RB1RA_1LC1RD_1LA1LC_1LG0RE_1LC1RB_0RL1LG_0LM0RH_1RI1RH_1LK0RI_---0LK_1LF1LK_1LJ1RL_1RZ1RH\|halt}}</span>~~		\|
	\|~~[https://discord.com/channels/960643023006490684/1331570843829932063/1481871400640839691 50_ft_lock in 2026]~~		\|
	\|		\|
	\|-		\|-

Loader3229: /* 2-Symbol TMs */

2026-10-09T06:42:47Z

2-Symbol TMs

← Older revision		Revision as of 06:42, 9 October 2026
Line 66:		Line 66:
	\|-		\|-
	\|BB(10)		\|BB(10)
	\|<math>> g_{64}</math>		\|<math>> f_{\omega+1}(2 \uparrow^{37} 3) > g_{64}</math>
	\|<span style="word-break:break-all">{{TM\|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1LI0LC_0RG1LD_1RH1LG_1LC0RG_0LJ0LI_1RZ0LC\|halt}}</span>		\|<span style="word-break:break-all">{{TM\|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1LI0LC_0RG1LD_1RH1LG_1LC0RG_0LJ0LI_1RZ0LC\|halt}}</span>
	\|[https://discord.com/channels/960643023006490684/1331570843829932063/1557806386073702622 Jeff Ketchersid in 2026]		\|[https://discord.com/channels/960643023006490684/1331570843829932063/1557806386073702622 Jeff Ketchersid in 2026]