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### My number is bigger?

Posted: **Sat May 11, 2019 9:39 pm UTC**

by **lllllllllwith10ls**

Rules:

- Has to be recursive (no uncomputables)
- Has to be finite
- Has to be bigger than the last entry
- Notations must have either a link to a definition or a definition in the post

I'll start off with -4

### Re: My number is bigger?

Posted: **Sun May 12, 2019 5:00 am UTC**

by **chridd**

-3.99999999999999999999999999999999999999999999999999

### Re: My number is bigger?

Posted: **Sun May 12, 2019 11:37 am UTC**

by **SuperJedi224**

-2sqrt(3)

### Re: My number is bigger?

Posted: **Sun May 12, 2019 3:32 pm UTC**

by **SuperNerd**

-3

### Re: My number is bigger?

Posted: **Sun May 12, 2019 4:19 pm UTC**

by **lllllllllwith10ls**

log_10(0.002)

### Re: My number is bigger?

Posted: **Sun May 12, 2019 5:28 pm UTC**

by **chridd**

0.3 × log_{2}(0.002)

### Re: My number is bigger?

Posted: **Sun May 12, 2019 6:20 pm UTC**

by **lllllllllwith10ls**

2i^{2}

### Re: My number is bigger?

Posted: **Sun May 12, 2019 9:10 pm UTC**

by **SuperJedi224**

-sqrt(11/3)

### Re: My number is bigger?

Posted: **Sun May 12, 2019 9:22 pm UTC**

by **lllllllllwith10ls**

9001

### Re: My number is bigger?

Posted: **Mon May 13, 2019 11:45 am UTC**

by **solune**

1e4 - 998

### Re: My number is bigger?

Posted: **Mon May 13, 2019 12:05 pm UTC**

by **SuperJedi224**

9.8^{4}

### Re: My number is bigger?

Posted: **Mon May 13, 2019 3:27 pm UTC**

by **solune**

3^2 * 2^10 + 17

### Re: My number is bigger?

Posted: **Mon May 13, 2019 4:41 pm UTC**

by **SuperJedi224**

11*(6!+5!+4!+3!+2!+1!)

### Re: My number is bigger?

Posted: **Mon May 13, 2019 8:46 pm UTC**

by **solune**

3 times 3210

### Re: My number is bigger?

Posted: **Mon May 13, 2019 9:14 pm UTC**

by **lllllllllwith10ls**

45^2.5

### Re: My number is bigger?

Posted: **Mon May 13, 2019 11:14 pm UTC**

by **SuperJedi224**

11^{4}

### Re: My number is bigger?

Posted: **Mon May 13, 2019 11:30 pm UTC**

by **lllllllllwith10ls**

(3^3)^3

### Re: My number is bigger?

Posted: **Tue May 14, 2019 1:26 am UTC**

by **SuperJedi224**

12^{4}

### Re: My number is bigger?

Posted: **Tue May 14, 2019 1:44 am UTC**

by **lllllllllwith10ls**

Le's just skip straight to the good stuff

10^10^100

### Re: My number is bigger?

Posted: **Tue May 14, 2019 1:45 am UTC**

by **SuperJedi224**

That far already?

10^{100}!

### Re: My number is bigger?

Posted: **Tue May 14, 2019 1:50 am UTC**

by **lllllllllwith10ls**

Yup

10^10^200

### Re: My number is bigger?

Posted: **Tue May 14, 2019 2:06 am UTC**

by **SuperJedi224**

(120!)!

### Re: My number is bigger?

Posted: **Tue May 14, 2019 2:14 am UTC**

by **lllllllllwith10ls**

10^10^(100!)

### Re: My number is bigger?

Posted: **Tue May 14, 2019 2:25 am UTC**

by **SuperJedi224**

10^^5

### Re: My number is bigger?

Posted: **Tue May 14, 2019 8:18 am UTC**

by **solune**

SuperJedi224 wrote:10^^5

It's time to define some terms, as per the o.p.

https://en.wikipedia.org/wiki/Tetrationsqrt(101)↑↑5

### Re: My number is bigger?

Posted: **Tue May 14, 2019 2:47 pm UTC**

by **lllllllllwith10ls**

Let x^^y = x↑↑y

My number is 10^^100

### Re: My number is bigger?

Posted: **Tue May 14, 2019 2:50 pm UTC**

by **Flumble**

10^^100+8

### Re: My number is bigger?

Posted: **Tue May 14, 2019 2:57 pm UTC**

by **solune**

10↑↑(100+8)

### Re: My number is bigger?

Posted: **Tue May 14, 2019 3:23 pm UTC**

by **lllllllllwith10ls**

x^^^0 = 1

x^^^(n+1) = x^^x^^^n

My number is 10^^^10

### Re: My number is bigger?

Posted: **Tue May 14, 2019 3:47 pm UTC**

by **Flumble**

Is that (x^^x)^^^n or x^^(x^^^n)?

In any case, using the

analytic continuation of tetration which definitely extends to any integer-valued hyperoperator (proof is left as an exercise for the reader):

10^^^10.3

### Re: My number is bigger?

Posted: **Tue May 14, 2019 5:08 pm UTC**

by **solune**

oh, that opens so many possibilities

(2*τ)↑↑↑(2*τ) where τ is the only true circle constant

### Re: My number is bigger?

Posted: **Tue May 14, 2019 6:40 pm UTC**

by **Flumble**

Rounding τ slightly:

20↑↑↑20

### Re: My number is bigger?

Posted: **Tue May 14, 2019 8:06 pm UTC**

by **phillip1882**

let 3 +3 = 6

let 3++3 = 3+3+3 = 9

let 3+++3 = 3++3++3 = 27

let x -> y = x+++..x y times.

9 -> 27 -> 81

### Re: My number is bigger?

Posted: **Tue May 14, 2019 8:44 pm UTC**

by **lllllllllwith10ls**

### Re: My number is bigger?

Posted: **Wed May 15, 2019 2:31 am UTC**

by **phillip1882**

extending from my previous post,

x ->->y = x->x->x..->x y times

100->->100

### Re: My number is bigger?

Posted: **Wed May 15, 2019 6:18 am UTC**

by **PsiCubed2**

I've been wondering when XKCD will have another one of these.

I'll stick to my letter notation:

1. [a,b]1=1

2. [0,0]n=10n

3. [a,b+1](n+1) = [a,b][a,b+1]n

4. [a+1,0]n = [a,n]10

5. En=[0,1]n ; Fn=[0,2]n ; Gn=[0,3]n ; Hn=[0,4]n ; Jn=[1,0]n ; Kn=[1,1]n ; Ln=[1,2]n ; Mn=[2,0]n

If I understood phillip's definitions correctly, his number is about K100. So I submit:

M3.

### Re: My number is bigger?

Posted: **Wed May 15, 2019 9:51 pm UTC**

by **lllllllllwith10ls**

s(10,10,1,1,2)

### Re: My number is bigger?

Posted: **Thu May 16, 2019 12:06 am UTC**

by **phillip1882**

1000->->->->1000

### Re: My number is bigger?

Posted: **Thu May 16, 2019 5:51 am UTC**

by **PsiCubed2**

I don't think that's large enough

### Re: My number is bigger?

Posted: **Thu May 16, 2019 10:56 am UTC**

by **SuperJedi224**

Isn't phillip's number something like f[w+3](1000), if I'm understanding his notation correctly? (So yeah, I guess that's not big enough, after rereading your notation.)

Anyway, in

X-Sequence Hyper-Exponential Notation, my number is:

100{X

^{2}+1}4 = 100{X

^{2}}100{X

^{2}}100{X

^{2}}100