What two numbers add up to 4610?

There are infinite combinations of two numbers that add up to 4610. Here are some examples using negative numbers:

-1 + 4611 = 4610
-2 + 4612 = 4610
-3 + 4613 = 4610
...

Here are some examples using two fractions that will add up to 4610:

4610/2 + 4610/2 = 4610
9220/3 + 4610/3 = 4610
13830/4 + 4610/4 = 4610
...

And here are some examples using two decimal numbers that will add up to 4610:

1.25 + 4608.75 = 4610
2.50 + 4607.5 = 4610
3.75 + 4606.25 = 4610
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 4610?", 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 4610. (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 4610?" has 2305 answers:

1 + 4609 = 4610
2 + 4608 = 4610
3 + 4607 = 4610
.
.
2303 + 2307 = 4610
2304 + 2306 = 4610
2305 + 2305 = 4610

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 4610 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 4611?
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