My number is bigger and smaller!

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Daggoth
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Joined: Wed Aug 05, 2009 2:37 am UTC

My number is bigger and smaller!

Postby Daggoth » Sat May 19, 2018 3:59 pm UTC

Silver rule : Given the previous two entries A and B, post a number thats bigger than A and smaller than B, or viceversa

Bronze rule : No bulls***** entries , e.g.(the biggest number that will be posted on page x etc..., you aren't creative or funny, go away) to be determined and disqualified at my discretion

Copper rule: No double posting! (except for this post)

Golden rule: You must to define and explain any notation that does not appear in the Scientific mode of Calc.exe and are liable to service up to 1 questions / clarification requests per user per entry, reference posts in the thread are allowed, external links are supplements and don't fulfill this rule.

Bonus rule: The first two posts in a page don't have to follow the silver rule


1
Last edited by Daggoth on Mon May 21, 2018 5:20 pm UTC, edited 2 times in total.

Daggoth
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Joined: Wed Aug 05, 2009 2:37 am UTC

Re: My number is bigger and smaller!

Postby Daggoth » Sat May 19, 2018 4:01 pm UTC

203045

Deedlit
Posts: 91
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Re: My number is bigger and smaller!

Postby Deedlit » Sat May 19, 2018 4:59 pm UTC

203045

Daggoth
Posts: 51
Joined: Wed Aug 05, 2009 2:37 am UTC

Re: My number is bigger and smaller!

Postby Daggoth » Sat May 19, 2018 5:02 pm UTC

203044

Deedlit
Posts: 91
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Re: My number is bigger and smaller!

Postby Deedlit » Sat May 19, 2018 5:41 pm UTC

2^2^2^2^2

PsiSquared
Posts: 126
Joined: Wed May 09, 2012 6:02 pm UTC

Re: My number is bigger and smaller!

Postby PsiSquared » Sun May 20, 2018 5:40 pm UTC

I don't recall tetration and pentation appearing on any standard calculator...

But since they are obviously considered legal here:
10↑↑↑19

Spoiler:
Just in case someone claims that triple-arrows are somehow any less standard than the notation Daggoth used, I'll define:

a↑↑↑b = ba.

That way I'm covering all the bases :)

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emlightened
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Location: Somewhere cosy.

Re: My number is bigger and smaller!

Postby emlightened » Sun May 20, 2018 9:09 pm UTC

2↑↑2↑3

I was going to ask about the operator precedence for exponentiation vs pentation, but realise that it's effectively immaterial given the magnitude.

a↑b = ab
a↑↑b = (a↑)b1
← approximately how gay I am.

PsiSquared
Posts: 126
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Re: My number is bigger and smaller!

Postby PsiSquared » Mon May 21, 2018 3:46 am UTC

2↑↑↑2↑3

Daggoth
Posts: 51
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Re: My number is bigger and smaller!

Postby Daggoth » Mon May 21, 2018 5:19 pm UTC

i used the wrong formatting.. i meant to enter repeated exponentiation.. but i'm rolling with it.. precedence, lets go with that expression meaning (20↑↑↑30)↑45, by extrapolation on pemdas
the remaining details have already been explained by your entries

4↑↑7

Deedlit
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Re: My number is bigger and smaller!

Postby Deedlit » Mon May 21, 2018 5:25 pm UTC

5 in a pentagon using Steinhaus-Moser notation

PsiSquared
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Re: My number is bigger and smaller!

Postby PsiSquared » Mon May 21, 2018 5:50 pm UTC

Daggoth wrote:i used the wrong formatting.. i meant to enter repeated exponentiation


So apparently, the current lower limit is already larger than the original upper limit you've envisioned.

Let me try to partially correct that:

F(20^30^45)

(Fn is defined as 10↑↑n)

Now, basically, we're almost back to the original intended situation, just with an additional "F" prefixing all entries.


Scratch that. I just realized this post is going to set a new lower bound, so that was quite stupid of me.

Let me try again:

8↑↑8
(the next poster can shamelessly steal the number I've crossed off, if they want to set things right)

Daggoth
Posts: 51
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Re: My number is bigger and smaller!

Postby Daggoth » Mon May 21, 2018 6:35 pm UTC

yeah nah thats ok lets just keep on trucking as is

5↑↑↑5

PsiSquared
Posts: 126
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Re: My number is bigger and smaller!

Postby PsiSquared » Mon May 21, 2018 6:38 pm UTC

F10 = Decalogue
(Fn is defined as 10↑↑n)

Daggoth
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Re: My number is bigger and smaller!

Postby Daggoth » Tue May 22, 2018 6:04 pm UTC

5↑↑5↑↑5↑↑5↑5↑5↑400

PsiSquared
Posts: 126
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Re: My number is bigger and smaller!

Postby PsiSquared » Tue May 22, 2018 8:32 pm UTC

3 in a triangle in a square, using Steinhaus-Moser notation.

Definitions:
Spoiler:
N in triangle = NN
N in a square = N in N triangles

So 3 in a triangle is 27, and my number is "27 in 27 triangles" which is somewhere between F28 and F29

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emlightened
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Location: Somewhere cosy.

Re: My number is bigger and smaller!

Postby emlightened » Tue May 22, 2018 10:25 pm UTC

6↑↑5↑↑4↑↑3↑↑2↑↑1 = 6↑↑5↑↑4↑↑27 ~ FFF27
← approximately how gay I am.

PsiSquared
Posts: 126
Joined: Wed May 09, 2012 6:02 pm UTC

Re: My number is bigger and smaller!

Postby PsiSquared » Wed May 23, 2018 12:12 am UTC

2↑↑↑4 ~ F65533

Daggoth
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Re: My number is bigger and smaller!

Postby Daggoth » Fri May 25, 2018 8:31 pm UTC

6↑↑5↑↑4↑↑100

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emlightened
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Re: My number is bigger and smaller!

Postby emlightened » Fri May 25, 2018 9:26 pm UTC

Your number is too big.

2↑↑↑4 = 2↑↑65536
2↑↑65536 < 6↑↑5↑↑4↑↑27 < 6↑↑5↑↑4↑↑100


FF2 = 10↑↑10 000 000 000
← approximately how gay I am.

PsiSquared
Posts: 126
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Re: My number is bigger and smaller!

Postby PsiSquared » Sun May 27, 2018 1:34 pm UTC

FE5 = 10↑↑10↑5

(can also be called "giggolgong")

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emlightened
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Re: My number is bigger and smaller!

Postby emlightened » Mon May 28, 2018 11:11 am UTC

9↑↑10↑↑2 = 9↑↑10 000 000 000

Only slightly* smaller than the previous large one.

*depending on your definition of slightly.
← approximately how gay I am.

PsiSquared
Posts: 126
Joined: Wed May 09, 2012 6:02 pm UTC

Re: My number is bigger and smaller!

Postby PsiSquared » Tue May 29, 2018 7:30 pm UTC

Define:
Ex = 10^x
Fx = EEEE...EEEE(frac(x)) with int(x) E's
Gx = FFFF...FFFF(frac(x)) with int(x) F's

Submit G(√5)
Spoiler:
G(√5) ~
G2.2360679774997896964091736687313 ~
FF1.72213810979817716203568567853 ~
FE5.273975522226054773355128465 ~
F187921 = 10↑↑187921

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patzer
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Re: My number is bigger and smaller!

Postby patzer » Thu May 31, 2018 1:07 am UTC

(π^20)9
= 9↑↑π↑20
= approx. 87699567969
If it looks like a duck, and quacks like a duck, we have at least to consider the possibility that we have a small aquatic bird of the family Anatidae on our hands. –Douglas Adams

PsiSquared
Posts: 126
Joined: Wed May 09, 2012 6:02 pm UTC

Re: My number is bigger and smaller!

Postby PsiSquared » Thu May 31, 2018 1:17 am UTC

That's not well-defined, because tetration is only defined for integer heights.

Let us just pertend that you've written int(π^20)9, which would be exactly 87699567969.

And mine:

7 in a triangle in a square, using Steinhaus-Moser notation ~ 10↑↑823543

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emlightened
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Re: My number is bigger and smaller!

Postby emlightened » Fri Jun 01, 2018 4:23 pm UTC

8 in a triangle in a square, using Steinhaus-Moser notation ~ 10↑↑16777216
← approximately how gay I am.

PsiSquared
Posts: 126
Joined: Wed May 09, 2012 6:02 pm UTC

Re: My number is bigger and smaller!

Postby PsiSquared » Sat Jun 02, 2018 6:48 pm UTC

FE6 = 10↑↑1000000

Fejfo
Posts: 5
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Re: My number is bigger and smaller!

Postby Fejfo » Sun Jun 24, 2018 5:16 pm UTC

This wasn't between the previous two, ignore this
Last edited by Fejfo on Tue Jun 26, 2018 8:25 pm UTC, edited 1 time in total.

PsiSquared
Posts: 126
Joined: Wed May 09, 2012 6:02 pm UTC

Re: My number is bigger and smaller!

Postby PsiSquared » Sun Jun 24, 2018 10:11 pm UTC

Huh?

Every new number has to be between the previous two. Currently, a valid entry must be between 10↑↑1000000 and 10↑↑16777216.

fω(4) ~ 10↑↑10↑↑10↑↑10↑10↑10↑21 is way too large to qualify.
And 2↑↑↑4 ~ 10↑↑65536 is abit too small.

Fejfo
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Re: My number is bigger and smaller!

Postby Fejfo » Tue Jun 26, 2018 8:26 pm UTC

It seems like I used too low of a lower bound and didn't think about how 2↑↑x and 10↑↑x relate properly. I've removed my post.


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