Re: Sum of factors

In article <d44vcl$eeq$1@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
"Néstor" <c@xxxxx> wrote:

> <stush@xxxxxxxxxxxxxx> escribió en el mensaje
> news:1113932528.346824.109000@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
>
> >Can I ask under what circumstances you will have an N and M meeting
> >those conditions? If I give you N, can you tell me M? I'm asking
> >because if you were given N and M such as above, I can't see how you
> >could know a+b=c+d without knowing a,b,c, and d.
>
>
> Well... Suppose I know it. And suppose M and N are so big I can´t factor
> them in a reasonable time.

Difficult.

You can probably find the factors if M and N are very close together.
Assume that c = a +/- 1, solve for a, b, c and d, check if the results
are integers. Same for c = a +/- 2, c = a +/- 3 and so on. If M and N
are very close then there is probably a low limit how far a and c can be
apart.
.

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