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## #1 2013-09-30 03:36:15

jacks
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### 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

## #2 2013-09-30 04:44:11

bobbym

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### 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 have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #3 2013-09-30 04:46:32

jacks
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### Re: positive integer ordered pairs (n,r)

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

## #4 2013-09-30 04:52:38

bobbym

Online

### 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 have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #5 2013-09-30 04:55:30

jacks
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### Re: positive integer ordered pairs (n,r)

Yes Bobbym I need upper bond.

## #6 2013-09-30 05:07:02

bobbym

Online

### 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 have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.