What two numbers add up to 5131?

There are infinite combinations of two numbers that add up to 5131. Here are some examples using negative numbers:

-1 + 5132 = 5131
-2 + 5133 = 5131
-3 + 5134 = 5131
...

Here are some examples using two fractions that will add up to 5131:

5131/2 + 5131/2 = 5131
10262/3 + 5131/3 = 5131
15393/4 + 5131/4 = 5131
...

And here are some examples using two decimal numbers that will add up to 5131:

1.25 + 5129.75 = 5131
2.50 + 5128.5 = 5131
3.75 + 5127.25 = 5131
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 5131?", 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 5131. (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 5131?" has 2565 answers:

1 + 5130 = 5131
2 + 5129 = 5131
3 + 5128 = 5131
.
.
2563 + 2568 = 5131
2564 + 2567 = 5131
2565 + 2566 = 5131

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 5131 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 5132?
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