What two numbers add up to 8041?

There are infinite combinations of two numbers that add up to 8041. Here are some examples using negative numbers:

-1 + 8042 = 8041
-2 + 8043 = 8041
-3 + 8044 = 8041
...

Here are some examples using two fractions that will add up to 8041:

8041/2 + 8041/2 = 8041
16082/3 + 8041/3 = 8041
24123/4 + 8041/4 = 8041
...

And here are some examples using two decimal numbers that will add up to 8041:

1.25 + 8039.75 = 8041
2.50 + 8038.5 = 8041
3.75 + 8037.25 = 8041
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 8041?", 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 8041. (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 8041?" has 4020 answers:

1 + 8040 = 8041
2 + 8039 = 8041
3 + 8038 = 8041
.
.
4018 + 4023 = 8041
4019 + 4022 = 8041
4020 + 4021 = 8041

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 8041 by 2 and then rounded down to the nearest whole number if necessary.

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