What two numbers add up to 4302?

There are infinite combinations of two numbers that add up to 4302. Here are some examples using negative numbers:

-1 + 4303 = 4302
-2 + 4304 = 4302
-3 + 4305 = 4302
...

Here are some examples using two fractions that will add up to 4302:

4302/2 + 4302/2 = 4302
8604/3 + 4302/3 = 4302
12906/4 + 4302/4 = 4302
...

And here are some examples using two decimal numbers that will add up to 4302:

1.25 + 4300.75 = 4302
2.50 + 4299.5 = 4302
3.75 + 4298.25 = 4302
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 4302?", 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 4302. (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 4302?" has 2151 answers:

1 + 4301 = 4302
2 + 4300 = 4302
3 + 4299 = 4302
.
.
2149 + 2153 = 4302
2150 + 2152 = 4302
2151 + 2151 = 4302

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 4302 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 4303?
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