What two numbers add up to 8126?

There are infinite combinations of two numbers that add up to 8126. Here are some examples using negative numbers:

-1 + 8127 = 8126
-2 + 8128 = 8126
-3 + 8129 = 8126
...

Here are some examples using two fractions that will add up to 8126:

8126/2 + 8126/2 = 8126
16252/3 + 8126/3 = 8126
24378/4 + 8126/4 = 8126
...

And here are some examples using two decimal numbers that will add up to 8126:

1.25 + 8124.75 = 8126
2.50 + 8123.5 = 8126
3.75 + 8122.25 = 8126
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 8126?", 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 8126. (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 8126?" has 4063 answers:

1 + 8125 = 8126
2 + 8124 = 8126
3 + 8123 = 8126
.
.
4061 + 4065 = 8126
4062 + 4064 = 8126
4063 + 4063 = 8126

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 8126 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 8127?
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