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#26 2012-05-13 05:57:42

anonimnystefy
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From: Harlan's World
Registered: 2011-05-23
Posts: 16,049

Re: The biggest 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
The knowledge of some things as a function of age is a delta function.

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#27 2012-05-13 06:33:15

Bob
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Registered: 2010-06-20
Posts: 10,010

Re: The biggest number?

hi

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

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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#28 2012-05-13 07:28:48

anonimnystefy
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From: Harlan's World
Registered: 2011-05-23
Posts: 16,049

Re: The biggest number?

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


“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
The knowledge of some things as a function of age is a delta function.

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#29 2012-05-13 19:29:39

Bob
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Registered: 2010-06-20
Posts: 10,010

Re: The biggest number?

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

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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#30 2012-05-13 22:53:40

anonimnystefy
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From: Harlan's World
Registered: 2011-05-23
Posts: 16,049

Re: The biggest number?

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
The knowledge of some things as a function of age is a delta function.

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#31 2012-05-14 19:32:54

Bob
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Registered: 2010-06-20
Posts: 10,010

Re: The biggest number?

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.  big_smile

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

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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#32 2012-05-15 00:12:26

anonimnystefy
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From: Harlan's World
Registered: 2011-05-23
Posts: 16,049

Re: The biggest number?

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!)!)!)!


“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
The knowledge of some things as a function of age is a delta function.

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#33 2012-05-15 07:09:39

Stangerzv
Member
Registered: 2012-01-30
Posts: 266

Re: The biggest number?

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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#34 2012-05-15 08:14:07

anonimnystefy
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From: Harlan's World
Registered: 2011-05-23
Posts: 16,049

Re: The biggest number?

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.


“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
The knowledge of some things as a function of age is a delta function.

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#35 2012-05-15 10:25:53

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,833

Re: The biggest number?

anonimnystefy wrote:

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

And my number is


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#36 2012-05-15 16:58:05

anonimnystefy
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From: Harlan's World
Registered: 2011-05-23
Posts: 16,049

Re: The biggest number?

2**googolplex


“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
The knowledge of some things as a function of age is a delta function.

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#37 2012-05-15 19:07:39

Bob
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Registered: 2010-06-20
Posts: 10,010

Re: The biggest number?

Wooah!  Are you planning to compute this number in half a year?

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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#38 2012-05-15 20:40:04

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,833

Re: The biggest number?

anonimnystefy wrote:

2**googolplex

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


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#39 2012-05-15 23:58:05

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,049

Re: The biggest number?

Apparently it is 10^10^10^2 away from ganesh's 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
The knowledge of some things as a function of age is a delta function.

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#40 2012-05-16 00:27:05

Bob
Administrator
Registered: 2010-06-20
Posts: 10,010

Re: The biggest number?

Are you planning to compute this number in half a year?

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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#41 2012-05-16 00:27:16

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,833

Re: The biggest number?

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!


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#42 2012-05-16 00:29:18

Bob
Administrator
Registered: 2010-06-20
Posts: 10,010

Re: The biggest number?

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


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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#43 2012-05-16 00:33:53

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,049

Re: The biggest number?

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


“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
The knowledge of some things as a function of age is a delta function.

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#44 2012-05-16 00:47:45

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,049

Re: The biggest number?

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


“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
The knowledge of some things as a function of age is a delta function.

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#45 2012-05-16 00:54:37

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,833

Re: The biggest number?

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.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#46 2012-05-16 00:57:31

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,049

Re: The biggest number?

anonimnystefy wrote:

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


“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
The knowledge of some things as a function of age is a delta function.

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#47 2012-05-16 01:06:15

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,833

Re: The biggest number?

I think you are right. Your number is bigger.
I overlooked the number of factorial symbols.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#48 2012-05-16 01:12:25

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,049

Re: The biggest number?

It's okay.


“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
The knowledge of some things as a function of age is a delta function.

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#49 2012-05-16 01:13:52

Bob
Administrator
Registered: 2010-06-20
Posts: 10,010

Re: The biggest number?

So am I correct that

(((3!)!)!)!

is the biggest so far that is computable?

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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#50 2012-05-16 01:17:55

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,049

Re: The biggest number?

Yup.


“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
The knowledge of some things as a function of age is a delta function.

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