What two numbers add up to 5122?

There are infinite combinations of two numbers that add up to 5122. Here are some examples using negative numbers:

-1 + 5123 = 5122
-2 + 5124 = 5122
-3 + 5125 = 5122
...

Here are some examples using two fractions that will add up to 5122:

5122/2 + 5122/2 = 5122
10244/3 + 5122/3 = 5122
15366/4 + 5122/4 = 5122
...

And here are some examples using two decimal numbers that will add up to 5122:

1.25 + 5120.75 = 5122
2.50 + 5119.5 = 5122
3.75 + 5118.25 = 5122
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 5122?", 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 5122. (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 5122?" has 2561 answers:

1 + 5121 = 5122
2 + 5120 = 5122
3 + 5119 = 5122
.
.
2559 + 2563 = 5122
2560 + 2562 = 5122
2561 + 2561 = 5122

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 5122 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 5123?
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