What two numbers add up to 8289?

There are infinite combinations of two numbers that add up to 8289. Here are some examples using negative numbers:

-1 + 8290 = 8289
-2 + 8291 = 8289
-3 + 8292 = 8289
...

Here are some examples using two fractions that will add up to 8289:

8289/2 + 8289/2 = 8289
16578/3 + 8289/3 = 8289
24867/4 + 8289/4 = 8289
...

And here are some examples using two decimal numbers that will add up to 8289:

1.25 + 8287.75 = 8289
2.50 + 8286.5 = 8289
3.75 + 8285.25 = 8289
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 8289?", 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 8289. (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 8289?" has 4144 answers:

1 + 8288 = 8289
2 + 8287 = 8289
3 + 8286 = 8289
.
.
4142 + 4147 = 8289
4143 + 4146 = 8289
4144 + 4145 = 8289

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 8289 by 2 and then rounded down to the nearest whole number if necessary.

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