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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 14,886

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,269

hi

Can you prove this is bigger than the number from post #23 ?

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 14,886

Yup.Your number has 27 digits (look at wolfram's output).Mine clearly has 51.

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,269

Fair enough. I bow to your use of Wolfram to actually calculate the number.

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 14,886

I didn't calculate the whole number. It showed it in tge form a.bcdefg... x 10^26. There were a few more digits in the decimal,but tge number still stays 27 digits long. What is your number?

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,269

So I'll have

This number needs no computation as such but if you wanted to write it down, then, at one digit per second, you could do it in half a year.

You haven't set a limit on how much paper I am allowed.

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 14,886

Computers can carry out those computations in quite a reasonable time,so I think it would be accepted. You can even get a closed form of that by hand and it becomes quite obvious what the number is.

My number is (((3!)!)!)!

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**Stangerzv****Member**- Registered: 2012-01-30
- Posts: 173

There is no such thing biggest number but bigger number because of the fact 1/x is too big when x=0. If there is such thing biggest number, it could always be 1 because the infinite universe was confined in a single unit when t=0s during the big bang:)

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 14,886

Yes,that is right. But the point is finding a bigger number than somwbody else in the quest of searching for the biggest number,which of course doesn't exist.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 13,286

anonimnystefy wrote:

My number is (((3!)!)!)!

And my number is

Character is who you are when no one is looking.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 14,886

2**googolplex

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**bob bundy****Moderator**- Registered: 2010-06-20
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Wooah! Are you planning to compute this number in half a year?

Bob

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 13,286

anonimnystefy wrote:

2**googolplex

The smallest number apart from 0 and 1 which is a perfect square, cube, fourth, fifth, ..... and googolplexth power.

Character is who you are when no one is looking.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 14,886

Apparently it is 10^10^10^2 away from ganesh's number.

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**bob bundy****Moderator**- Registered: 2010-06-20
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Are you planning to compute this number in half a year?

Bob

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 13,286

Hi anonimnystefy,

The smallest number apart from 0 and 1 which is a perfect square, cube, fourth, fifth, ...., and one thousandth power is roughly

.The number which is the smallest number apart from 0 and 1 which is a perfect square, cube, fourth, fifth, .... and googolplexth power which would be much much greater!

Character is who you are when no one is looking.

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**bob bundy****Moderator**- Registered: 2010-06-20
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But I want to know that you can compute these suggestions.

Your number must also be computable in a reasonable amount of time (e.g. Within half a year ).

Bob

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 14,886

I think it will be better if ganesh answred that question,cause mine is just a one added to the 10^10^2 place.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 14,886

PS. Wolfram says 4^4^4^4 is less than (((3!)!)!)!

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 13,286

I estimate the number by rough calculation. The answer would be roughly lesser than

.I am not sure with the powers. The only I may say with some degree of accuracy is the upper limit seems relatively certain.

Character is who you are when no one is looking.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 14,886

anonimnystefy wrote:

PS. Wolfram says 4^4^4^4 is less than (((3!)!)!)!

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 13,286

I think you are right. Your number is bigger.

I overlooked the number of factorial symbols.

Character is who you are when no one is looking.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 14,886

It's okay.

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,269

So am I correct that

(((3!)!)!)!

is the biggest so far that is computable?

Bob

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 14,886

Yup.

Here lies the reader who will never open this book. He is forever dead.

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