What two numbers add up to 1001?

There are infinite combinations of two numbers that add up to 1001. Here are some examples using negative numbers:

-1 + 1002 = 1001
-2 + 1003 = 1001
-3 + 1004 = 1001
...

Here are some examples using two fractions that will add up to 1001:

1001/2 + 1001/2 = 1001
2002/3 + 1001/3 = 1001
3003/4 + 1001/4 = 1001
...

And here are some examples using two decimal numbers that will add up to 1001:

1.25 + 999.75 = 1001
2.50 + 998.5 = 1001
3.75 + 997.25 = 1001
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 1001?", 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 1001. (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 1001?" has 500 answers:

1 + 1000 = 1001
2 + 999 = 1001
3 + 998 = 1001
.
.
498 + 503 = 1001
499 + 502 = 1001
500 + 501 = 1001

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 1001 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 1002?
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