What two numbers add up to 2536?

There are infinite combinations of two numbers that add up to 2536. Here are some examples using negative numbers:

-1 + 2537 = 2536
-2 + 2538 = 2536
-3 + 2539 = 2536
...

Here are some examples using two fractions that will add up to 2536:

2536/2 + 2536/2 = 2536
5072/3 + 2536/3 = 2536
7608/4 + 2536/4 = 2536
...

And here are some examples using two decimal numbers that will add up to 2536:

1.25 + 2534.75 = 2536
2.50 + 2533.5 = 2536
3.75 + 2532.25 = 2536
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 2536?", 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 2536. (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 2536?" has 1268 answers:

1 + 2535 = 2536
2 + 2534 = 2536
3 + 2533 = 2536
.
.
1266 + 1270 = 2536
1267 + 1269 = 2536
1268 + 1268 = 2536

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 2536 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 2537?
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