What two numbers add up to 1031?

There are infinite combinations of two numbers that add up to 1031. Here are some examples using negative numbers:

-1 + 1032 = 1031
-2 + 1033 = 1031
-3 + 1034 = 1031
...

Here are some examples using two fractions that will add up to 1031:

1031/2 + 1031/2 = 1031
2062/3 + 1031/3 = 1031
3093/4 + 1031/4 = 1031
...

And here are some examples using two decimal numbers that will add up to 1031:

1.25 + 1029.75 = 1031
2.50 + 1028.5 = 1031
3.75 + 1027.25 = 1031
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 1031?", 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 1031. (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 1031?" has 515 answers:

1 + 1030 = 1031
2 + 1029 = 1031
3 + 1028 = 1031
.
.
513 + 518 = 1031
514 + 517 = 1031
515 + 516 = 1031

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 1031 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 1032?
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