What two numbers add up to 4262?

There are infinite combinations of two numbers that add up to 4262. Here are some examples using negative numbers:

-1 + 4263 = 4262
-2 + 4264 = 4262
-3 + 4265 = 4262
...

Here are some examples using two fractions that will add up to 4262:

4262/2 + 4262/2 = 4262
8524/3 + 4262/3 = 4262
12786/4 + 4262/4 = 4262
...

And here are some examples using two decimal numbers that will add up to 4262:

1.25 + 4260.75 = 4262
2.50 + 4259.5 = 4262
3.75 + 4258.25 = 4262
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 4262?", 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 4262. (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 4262?" has 2131 answers:

1 + 4261 = 4262
2 + 4260 = 4262
3 + 4259 = 4262
.
.
2129 + 2133 = 4262
2130 + 2132 = 4262
2131 + 2131 = 4262

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 4262 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 4263?
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