What two numbers add up to 2301?

There are infinite combinations of two numbers that add up to 2301. Here are some examples using negative numbers:

-1 + 2302 = 2301
-2 + 2303 = 2301
-3 + 2304 = 2301
...

Here are some examples using two fractions that will add up to 2301:

2301/2 + 2301/2 = 2301
4602/3 + 2301/3 = 2301
6903/4 + 2301/4 = 2301
...

And here are some examples using two decimal numbers that will add up to 2301:

1.25 + 2299.75 = 2301
2.50 + 2298.5 = 2301
3.75 + 2297.25 = 2301
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 2301?", 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 2301. (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 2301?" has 1150 answers:

1 + 2300 = 2301
2 + 2299 = 2301
3 + 2298 = 2301
.
.
1148 + 1153 = 2301
1149 + 1152 = 2301
1150 + 1151 = 2301

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 2301 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 2302?
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