Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 15,937

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.

Offline

**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,070

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

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 15,937

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

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

Offline

**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,070

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

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 15,937

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.

Offline

**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,070

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

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

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 15,937

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!)!)!)!

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.

Offline

**Stangerzv****Member**- Registered: 2012-01-30
- Posts: 214

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:)

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 15,937

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.

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.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 17,274

anonimnystefy wrote:

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

And my number is

Character is who you are when no one is looking.

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 15,937

2**googolplex

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.

Offline

**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,070

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

Bob

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

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 17,274

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.

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 15,937

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

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.

Offline

**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,070

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

Bob

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

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 17,274

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.

Offline

**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,070

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

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

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 15,937

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

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.

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 15,937

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

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.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 17,274

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.

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 15,937

anonimnystefy wrote:

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

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.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 17,274

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.

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 15,937

It's okay.

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.

Offline

**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,070

So am I correct that

(((3!)!)!)!

is the biggest so far that is computable?

Bob

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

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 15,937

Yup.

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.

Offline