What two numbers add up to 2596?

There are infinite combinations of two numbers that add up to 2596. Here are some examples using negative numbers:

-1 + 2597 = 2596
-2 + 2598 = 2596
-3 + 2599 = 2596
...

Here are some examples using two fractions that will add up to 2596:

2596/2 + 2596/2 = 2596
5192/3 + 2596/3 = 2596
7788/4 + 2596/4 = 2596
...

And here are some examples using two decimal numbers that will add up to 2596:

1.25 + 2594.75 = 2596
2.50 + 2593.5 = 2596
3.75 + 2592.25 = 2596
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 2596?", it may be more interesting to set some criteria to limit the result. We will set the follow criteria:

1) Only positive whole numbers can add up to 2596. (0 is not a positive or negative number and should not be included.)

2) Since a+b=29 is the same as b+a=29, we should only list it once.

Now, the answer to "What two numbers add up to 2596?" has 1298 answers:

1 + 2595 = 2596
2 + 2594 = 2596
3 + 2593 = 2596
.
.
1296 + 1300 = 2596
1297 + 1299 = 2596
1298 + 1298 = 2596

We have truncated the list above due to space, but you may be interested to know that we calculated the number of answers by dividing 2596 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 2597?
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