## My Number is Bigger! (Everymen Needed!)

For all your silly time-killing forum games.

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SirGabriel
Posts: 42
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### Re: My Number is Bigger! (Everymen Needed!)

123456789

emlightened
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### Re: My Number is Bigger! (Everymen Needed!)

2{2}3 = {2}24 = 402,653,184

"Therefore it is in the interests not only of public safety but also public sanity if the buttered toast on cats idea is scrapped, to be replaced by a monorail powered by cats smeared with chicken tikka masala floating above a rail made from white shag pile carpet."

Posts: 49
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### Re: My Number is Bigger! (Everymen Needed!)

9>0 = 10^9 = 1,000,000,000 = 1 billion
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emlightened
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### Re: My Number is Bigger! (Everymen Needed!)

{2}26 = 26*2^26 = 1,744,830,464

"Therefore it is in the interests not only of public safety but also public sanity if the buttered toast on cats idea is scrapped, to be replaced by a monorail powered by cats smeared with chicken tikka masala floating above a rail made from white shag pile carpet."

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### Re: My Number is Bigger! (Everymen Needed!)

3*10^9
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SirGabriel
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### Re: My Number is Bigger! (Everymen Needed!)

pi^e^pi ≈ 319,442,280,000

emlightened
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### Re: My Number is Bigger! (Everymen Needed!)

Eeeϕ ≈ 903,116,782,624

"Therefore it is in the interests not only of public safety but also public sanity if the buttered toast on cats idea is scrapped, to be replaced by a monorail powered by cats smeared with chicken tikka masala floating above a rail made from white shag pile carpet."

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### Re: My Number is Bigger! (Everymen Needed!)

3↑↑3

Remember this means 3^3^3 = 3^27 = 7,625,597,484,987.
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Yrgos
Posts: 6
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### Re: My Number is Bigger! (Everymen Needed!)

10!^2! = 10!^2 > 1.3E13

PsiSquared
Posts: 126
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### Re: My Number is Bigger! (Everymen Needed!)

Wow, we're in the trillions already?

Guess it's time to extend scientific notation. So what comes after "E"? Why F, of-course:

Define:

aFn c EEEE...EEEEa (with n E's)

Note that since 10 = E1, this "super-scientific-notation" can represent any number as:

(a number between 1 and 10)F(some integer)

For example, Yrgos number is:

10!^2 = 13168189440000 ~ 10^13.12 ~ 10^10^1.11792 = EE1.11792 = 1.11792F2

And I send:
1.15F2 = EE1.15 = 10^10^1.15 ~ 133 467 475 574 035

(if anything here is unclear, please say so)

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### Re: My Number is Bigger! (Everymen Needed!)

15>0 = 10^15
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SirGabriel
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### Re: My Number is Bigger! (Everymen Needed!)

pi^^3 ≈ 1.34016418*10^18

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### Re: My Number is Bigger! (Everymen Needed!)

10^20
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emlightened
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### Re: My Number is Bigger! (Everymen Needed!)

1.444678^^997 ~ 1.48E20

"Therefore it is in the interests not only of public safety but also public sanity if the buttered toast on cats idea is scrapped, to be replaced by a monorail powered by cats smeared with chicken tikka masala floating above a rail made from white shag pile carpet."

SirGabriel
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### Re: My Number is Bigger! (Everymen Needed!)

emlightened wrote:1.444678^^997 ~ 1.48E20

How did you calculate that? None of the online calculators I've found will accept that notation.

Yrgos
Posts: 6
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### Re: My Number is Bigger! (Everymen Needed!)

I think theres a typo, because 1.44^^997 > 1.44^997 since 1.44 > 1 and 1.44^997 ~ 7E157

Yrgos
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### Re: My Number is Bigger! (Everymen Needed!)

Nvm, will post again after x-mas

emlightened
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### Re: My Number is Bigger! (Everymen Needed!)

SirGabriel wrote:
emlightened wrote:1.444678^^997 ~ 1.48E20

How did you calculate that? None of the online calculators I've found will accept that notation.

I coded it into python (but the result was wrong anyway).
Spoiler:

Code: Select all

`def tet(a,b):   n=1   try:      for i in range(b): n = a**n   except OverflowError: pass   return a,i+1,nfor j in range(1000):   k = tet(1.4446+j*10**-7, 10000)   if 10**20 < k[2] < 10**22: # change the numbers here to control how large the output is      print(k)# This code outputs numbers in the form (a, b, c), where a^^b = c, a < 1.44475, and 10^20 < c < 10^22.`

Yrgos wrote:I think theres a typo, because 1.44^^997 > 1.44^997 since 1.44 > 1 and 1.44^997 ~ 7E157

Not always true. For instance, consider (√2)^^4. (√2)^4 = 2^2 = 4, but (√2)^^4 = (√2)^(√2)^(√2)^(√2) ~ (√2)^(√2)^1.6325 ~ (√2)^1.7608 ~ 1.8409 < (√2)^4 = 4. In fact, for 0.066 < k < 1.4446, k↑↑∞ is well-defined, and is less than 2.72.

(Using the code above,) 1.4446915^^666 ~ 2.362E20

"Therefore it is in the interests not only of public safety but also public sanity if the buttered toast on cats idea is scrapped, to be replaced by a monorail powered by cats smeared with chicken tikka masala floating above a rail made from white shag pile carpet."

Yrgos
Posts: 6
Joined: Fri Nov 06, 2015 10:33 pm UTC

### Re: My Number is Bigger! (Everymen Needed!)

Yes, I realized after I posted that that x^a > x^b if a>b>1 and x > 1 doesn't mean in any way that I can claim that x^^a > x^a for x > 1 and a>1. But I would presume that it is true if a > 2 though. The ^^ is fairly new to me, powertowers aren't part of my university math study or the corriculum I teach I did go and read up on it, but slightly intoxicated still, so my mileage may vary

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### Re: My Number is Bigger! (Everymen Needed!)

{2}70

= 70*2^70 ~ 8.2641E22
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emlightened
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### Re: My Number is Bigger! (Everymen Needed!)

-0.87F4 = EEEE-0.87 ~ EEE0.1349 ~ EE1.3643 ~ E23.1343 ~ 1.073×1023

"Therefore it is in the interests not only of public safety but also public sanity if the buttered toast on cats idea is scrapped, to be replaced by a monorail powered by cats smeared with chicken tikka masala floating above a rail made from white shag pile carpet."

Posts: 49
Joined: Thu Jun 25, 2015 10:43 am UTC

### Re: My Number is Bigger! (Everymen Needed!)

I'll be using my brackets from the other thread, too.

We have:

n|() = n^n

Okay?

Anyway, send:

19|() = 19^19 ~ 1.97482E24
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SirGabriel
Posts: 42
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### Re: My Number is Bigger! (Everymen Needed!)

5^4^3 ~ 5.42101086E44

emlightened
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### Re: My Number is Bigger! (Everymen Needed!)

2{2}5 = 160×2160 ~ 2.3384E50

"Therefore it is in the interests not only of public safety but also public sanity if the buttered toast on cats idea is scrapped, to be replaced by a monorail powered by cats smeared with chicken tikka masala floating above a rail made from white shag pile carpet."

SirGabriel
Posts: 42
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### Re: My Number is Bigger! (Everymen Needed!)

42! ~ 1.40500612E51

emlightened
Posts: 42
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### Re: My Number is Bigger! (Everymen Needed!)

-0.6F4 ~ 4.955E60

"Therefore it is in the interests not only of public safety but also public sanity if the buttered toast on cats idea is scrapped, to be replaced by a monorail powered by cats smeared with chicken tikka masala floating above a rail made from white shag pile carpet."

Posts: 49
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### Re: My Number is Bigger! (Everymen Needed!)

10^65
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PsiSquared
Posts: 126
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### Re: My Number is Bigger! (Everymen Needed!)

10^70

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### Re: My Number is Bigger! (Everymen Needed!)

45|() ~ 2.48E74
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### Re: My Number is Bigger! (Everymen Needed!)

That's four, by the way.

Also, if anyone wants a game more like the other one to start again, I'd be happy to do it. I think I'll start it tomorrow for the new year and see how far it gets.
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SirGabriel
Posts: 42
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### Re: My Number is Bigger! (Everymen Needed!)

60! ~ 8.32E81

emlightened
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### Re: My Number is Bigger! (Everymen Needed!)

googol-42 =
99999 99999 99999 99999 99999 99999 99999 99999 99999 99999
99999 99999 99999 99999 99999 99999 99999 99999 99999 99958
~ 10^100

I'd be fine with it, but you'd definitely want something to prevent tensions rising again.

Edit: P.S: We both joined the googology wiki on the same day (today). Huh.

"Therefore it is in the interests not only of public safety but also public sanity if the buttered toast on cats idea is scrapped, to be replaced by a monorail powered by cats smeared with chicken tikka masala floating above a rail made from white shag pile carpet."

PsiSquared
Posts: 126
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### Re: My Number is Bigger! (Everymen Needed!)

A googol and one =
1 00000 00000 00000 00000 00000 00000 00000 00000 00000 00000
00000 00000 00000 00000 00000 00000 00000 00000 00000 00001

"Rising tensions" isn't the main problem. Or rather, it is a very simple problem to fix: In extreme cases the host can tell both parties to stop. In very extreme cases, a PM to the forum moderators will solve the problem. That's exactly what the moderators are here for.

The really sticky problem, is to ensure that people who break the rules can't disrupt the game for everybody else. This requires the cooperation of both the host and the other players.

For example, one thing that did work well on the other thread, is the way everybody treated overkills. Whenever someone posted a number which was obviously too large, everybody simply ignored it. People didn't endlessly debate the matter, and they certainly didn't cooperate with the violation.

And the same should be done with any other form of blatant rule-breaking. If an entry is obviously illegal, it should be treated as such and the game should move on.

Oh, and another thing:
It should be understood by everyone that when everything else fails, the host of the game (which will certainly not be me) is the final judge of everything game-related. The concept of "game referee" exists for a good reason, and it is critical if you want to make sure that things won't spiral out of control.

(that was a pretty long post. Please tell me if you think this discussion is getting too distracting)

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### Re: My Number is Bigger! (Everymen Needed!)

Okay.

However, if Psi isn't an "everyman", then I'm certainly not, either. I suggest that one of the everymen on this thread co-hosts, if he/she is willing.

If not, I want to require participation, but more like twice a page.

Now that me and emlightened have registered accounts, we can make blogposts to describe our notations. If you want to do so, Psi, you need to make a wikia account. It only takes a minute. (unless you already have one, but there's no user named PsiSquared on Wikia.)
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### Re: My Number is Bigger! (Everymen Needed!)

Oh, by the way, 10^112
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SirGabriel
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### Re: My Number is Bigger! (Everymen Needed!)

2^500 ~ 3.27E150

PsiSquared
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### Re: My Number is Bigger! (Everymen Needed!)

200E200 (=2x10202)

However, if Psi isn't an "everyman", then I'm certainly not, either. I suggest that one of the everymen on this thread co-hosts, if he/she is willing.

If not, I want to require participation, but more like twice a page.

This really raises the question: Why do you feel the need for a new thread, when we already have this one?

I think you've done an excellent job with this thread, and it is proceeding nicely. I also think that requiring everyman participation is a good rule. Why try to fix something that is already working perfectly?

I whole-heartedly support the notion of officially adding an everyman co-host to this thread. This is actually a position I would have gladly volunteered for (if not for me being obviously overqualified for it).

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### Re: My Number is Bigger! (Everymen Needed!)

Thanks.

111|()() = 111^111 ~ 1.0736E227
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emlightened
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### Re: My Number is Bigger! (Everymen Needed!)

123 456 789 101112 131415 161718 192021 222324 252627 282930 313233 343536 373839 404142
434445 464748 495051 525354 555657 585960 616263 646566 676869 707172 737475 767778 798081
828384 858687 888990 919293 949596 979899 100101102 103104105 106107108 109110111 112 ~ 1.23456789E227

I agree with Psi. While it would be nice to have another thread so that we can play with larger numbers faster, there's no need for it; we'll be there on this thread in a month or two.

"Therefore it is in the interests not only of public safety but also public sanity if the buttered toast on cats idea is scrapped, to be replaced by a monorail powered by cats smeared with chicken tikka masala floating above a rail made from white shag pile carpet."

SirGabriel
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### Re: My Number is Bigger! (Everymen Needed!)

3^500 ~ 3.636E238