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#1 2013-09-29 05:36:15

jacks
Member
Registered: 2012-11-21
Posts: 80

positive integer ordered pairs (n,r)

{A} Total no. of positive integer ordered pairs of

which satisfy

{B} Total no. of positive integer ordered pairs of

which satisfy

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#2 2013-09-29 06:44:11

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,033

Re: positive integer ordered pairs (n,r)

Hi;

There are 6 ways for 120 and 2 ways for 2013.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#3 2013-09-29 06:46:32

jacks
Member
Registered: 2012-11-21
Posts: 80

Re: positive integer ordered pairs (n,r)

Thanks Bobbym would you like to explain it to me, Thanks

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#4 2013-09-29 06:52:38

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,033

Re: positive integer ordered pairs (n,r)

Hi;

As far as I know there is no known formula for these problems. The latest work only provides a bound, not an exact answer. These had to be computed for both numbers.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#5 2013-09-29 06:55:30

jacks
Member
Registered: 2012-11-21
Posts: 80

Re: positive integer ordered pairs (n,r)

Yes Bobbym I need upper bond.

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#6 2013-09-29 07:07:02

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,033

Re: positive integer ordered pairs (n,r)

Hi;

Unless I am misunderstanding their paper they have only established an upper bound for

n >= 2r

this is almost useless for your question.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

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