Number Choosing Contest.

Let H_n(a,b) be defined as such:



And:

Let S(a,b) =
H_n(a,b) where
n = Ackermann(S(a-1,b),S(a,b-1)))

I guess the following:

S(Graham's Number, Twelve Googol)

S(Largest Known Prime, Second Largest Known Prime)

S(The second number I guessed, The first number I guessed)

S(The number of board states in Chess regardless of legality or supply of pieces, The number of possible Go games)

292292292292

Edit: sorry

wait why is it 1630767959559389054594297182400609699502827817

it's just "i love you bby ;))))" written in binary

Let H_n(a,b) be defined as such:



And:

Let S(a,b) =
H_n(a,b) where
n = Ackermann(S(a-1,b),S(a,b-1)))

I guess the following:

S(Graham's Number, Twelve Googol)

S(Largest Known Prime, Second Largest Known Prime)

S(The second number I guessed, The first number I guessed)

S(The number of board states in Chess regardless of legality or supply of pieces, The number of possible Go games)

292292292292

*insert any of those first four "numbers" here*: breaks XYZ & well, um:
1: all of these DEFINITELY BREAK RULE 1
2: *shrug*
3: it is 99.999999999999999999999999999999999999999999999999999...% certain that all of these break rule 3.
4: fuck no I'm not even going to try
5: double fuck no

292292292292: breaks YZ & 1 and 3. Somehow, this is the first number to pass rule 5.

Edit: sorry

It's okay. That was absolutely my fault.

wait why is it 1630767959559389054594297182400609699502827817

it's just "i love you bby ;))))" written in binary

It is also the binary representation of 1630767959559389054594297182400609699502827817. Since "i love you bby ;))))" is not a number, I was not able to evaluate it, though I suppose I could give it a try:

i love you bby ;)))): breaks WXYZ & 1, 2, *distressed whine* 3, 4 and 5.

I am tempted to introduce an etiquette rule V. You can probably guess what it would be.

S(3,3)

121121121121

S(3,3)

121121121121

If S(3,3) is small enough that you can give me a decimal representation then please do I don't want to keep trying to work this out by hand.

121121121121: breaks YZ & 1, 2, 3 and 4.

8008135

8008135

THANK FINALLY ANOTHER NUMBER I CAN PUT INTO THE SCRIPT AND NOT HAVE IT IMMEDIATELY STALL

8008135: breaks YZ & 1, 2, 3 and 4.

777777777777777777777777
7777777777777777777777
777777777777777777777
77777777777777777777
7777777777777777777

777777777777777777777777
7777777777777777777777
777777777777777777777
77777777777777777777
7777777777777777777

777777777777777777777777: breaks YZ & 1, 2, 3 and 4.
7777777777777777777777: breaks YZ & 1, 2 and 3.
777777777777777777777: breaks YZ & 1 and 3.
77777777777777777777: breaks YZ & 1, 2 and 3.
7777777777777777777: breaks YZ & 1, 3 and 4.

14, 16, 18, 19, 15

14, 16, 18, 19, 15

*TREMENDOUS EXHALATION*

14: breaks YZ & 2, 4 and 5.
16: breaks YZ & 2 and 5.
18: breaks YZ & 2, 4 and 5.
19: breaks YZ & 4. LOOK. HERE IT IS. YOUR BEST NUMBER SO FAR. SEE HOW VASTLY BELOW A MILLION IT IS.
15: breaks YZ & 2, 4 and 5.

Root 2, if that hasn't been guessed already
23

Root 2, if that hasn't been guessed already
23

sqrt(2): breaks WXYZ & 1, 2, 3, 4 and 5.
23: breaks YZ & 4. SEE. SMALLER IS BETTER.

17

17.0

100

20

21

17

17.0

100

20

21

17: breaks YZ & 2 and 4.
17: breaks XYZ & 2 and 4.
100: breaks YZ & 1, 3 and 5.
20: breaks YZ & 2, 4 and 5.
21: breaks YZ & 2, 4 and 5.

That's your last lot for tonight - it's way past my bedtime...

What the hell have you guys been doing to Sruixan??

31

101

1000001

8888

53

22 24 25 26 44

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2151529519

8658.

B00B135 in hexadecimal

What the hell have you guys been doing to Sruixan??

Terrible, terrible things.

31

101

1000001

8888

53

31: breaks YZ & 1 and 4.
101: breaks YZ & 1, 2, 3, 4 and 5.
1000001: breaks YZ & 1, 2 and 4.
8888: breaks YZ & 1, 2, 3, 4 and 5.
53: breaks YZ & 2, 3 and 4.

22 24 25 26 44

22: breaks YZ & 2, 4 and 5.
24: breaks YZ & 2 and 5.
25: breaks YZ & 1, 2, 4 and 5.
26: breaks YZ & 2, 4 and 5.
44: breaks YZ & 3, 4 and 5.


10: breaks YZ & 4 and 5.

2151529519

2151529519: breaks YZ & 1, 2 and 4.

8658.

8658: breaks YZ & 1, 2, 3, 4 and 5.

B00B135 in hexadecimal

184594741: breaks XY & 1, 2, 3 and 4.

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10000: breaks YZ & 1, 3 and 5.