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Choose challenge
BB(5)
BB(6)
BB(2,5)
BB(3,3)
Challenge goal
There remain
0
machine with 5 states to decide!! 🥳
We have reached
our goal
of proving "
BB(5)
= 47,176,870":
See the formal
Coq proof
See the
official announcement
Here's what's next:
We are writing a human-readable paper presenting the BB(5) proof
We are working on new busy beaver values such as BB(6) and setting new goals for these
We are maintaining busy beaver knowledge through our
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and
wiki
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·
Simulation Parameters
Show head movement (green for L, red for R)
Visualization:
Default
Explore
Blaze
Machine
1LH1LA_1LI1RG_0RD1LC_0RF1RE_1LJ0RF_1RB1RF_0LC1LH_0LC0LA_1LK1LJ_1RZ0LI_0LD1LE
Status:
Decided (Halt)
Decider:
Coq-BB5
âž•
Machine code:
0
1
A
1L
H
1L
A
B
1L
I
1R
G
C
0R
D
1L
C
D
0R
F
1R
E
E
1L
J
0R
F
F
1R
B
1R
F
G
0L
C
1L
H
H
0L
C
0L
A
I
1L
K
1L
J
J
1R
Z
0L
I
K
0L
D
1L
E
Std format:
1LH1LA_1LI1RG_0RD1LC_0RF1RE_1LJ0RF_1RB1RF_0LC1LH_0LC0LA_1LK1LJ_1RZ0LI_0LD1LE
Copy code for https://turingmachine.io/
View at https://fiery.pages.dev/turing/
Create wiki entry
Change machine:
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seed database
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News
July 2nd 2024
May 2nd 2024
April 9th 2023
Deciders
Deciders
are programs that automatically decide whether machines halt or not.
Here are the
currently applied deciders
:
1.
Cyclers
2.
Translated Cyclers
3.
Backward Reasoning
4.
Halting Segment
5.
Finite Automata Reduction
6.
Bouncers
7.
Coq-BB5
Zoology
This zoology is
collaborative
.
1. Cyclers
e.g:
#279,081
#4,231,819
#4,239,083
2. Translated cyclers
e.g:
#59,645,887
#15,167,997
#59,090,563
#63,687,188
3. Bouncers
e.g:
#80,747,967
#88,427,177
#5,228,688
#5,608,043
4. Exponential counters
e.g:
#11,004,366
#10,936,909
#3,840,180
5. Bells
e.g:
#8,527,536
#73,261,028
#63,938,734
Not classified yet:
e.g:
#4,446,642
#7,410,754
#43,374,927
Highlighted machines
Interesting machines:
· "
inverted counter
"
[bbchallenge, 2023]
· "
helix
"
[bbchallenge, 2023]
· "
pointy wide
"
[bbchallenge, 2023]
· "
chaotic
"
[Marxen & Buntrock, 1990]
· "
complex counter
"
[Marxen & Buntrock, 1990]
· Machine
#7,410,754
· Machine
#2,977,651
· Machine
#9,005,190
· Machine
#43,374,927
· Machine
#14,263,231
· Machine
#36,909,813
BB champions and other halting machines:
· 2,133,492-halter
[bbchallenge, 2021]
· 23,554,764-halter
[bbchallenge, 2021]
· BB(5): 47,176,870-halter
[Marxen & Buntrock, 1990]
· BB(6):
>
2
↑
↑
↑
5
> 2\uparrow\uparrow\uparrow 5
>
2
↑↑↑
5
-halter
[mxdys, 2025]
Some
Skelet's machines
:
· Skelet's machine 1
≈ Machine
#68,329,601
· Skelet's machine 17
≈ Machine
#1,365,166
·
full list