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#1 2013-03-16 14:07:22

anna_gg
Member
Registered: 2012-01-10
Posts: 113

Find the number

What is the smallest natural number such that its double is a perfect square, its triple is a perfect cube and its quintuple is a perfect quint?

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#2 2013-03-16 21:06:27

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,544

Re: Find the number

I would say that

is the 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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#3 2013-03-16 22:38:51

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,219

Re: Find the number

Hi;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#4 2013-03-16 22:46:18

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,544

Re: Find the number

Great! We got the same answer! 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

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#5 2013-03-16 22:57:47

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,219

Re: Find the number

Hard to believe that is the smallest number...


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

#6 2013-03-16 23:01:02

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,544

Re: Find the number

It is rather large.


“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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#7 2013-03-16 23:07:32

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,219

Re: Find the number

Huge, as a matter of fact.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

#8 2013-03-16 23:24:57

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,544

Re: Find the number

6810125783203125000000000000000 is the 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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#9 2013-03-16 23:30:16

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,219

Re: Find the number

Yes, I know that. She did not comment on the answers yet.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

#10 2013-03-16 23:39:00

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,544

Re: Find the number

She will.


“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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#11 2013-03-16 23:55:20

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,219

Re: Find the number

I think so but I am checking.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

#12 2013-03-24 00:25:52

anna_gg
Member
Registered: 2012-01-10
Posts: 113

Re: Find the number

Sorry guys, I have been etremely busy for the past week...
All of your answers are correct!
Congrats!

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