What two numbers add up to 1016?

There are infinite combinations of two numbers that add up to 1016. Here are some examples using negative numbers:

-1 + 1017 = 1016
-2 + 1018 = 1016
-3 + 1019 = 1016
...

Here are some examples using two fractions that will add up to 1016:

1016/2 + 1016/2 = 1016
2032/3 + 1016/3 = 1016
3048/4 + 1016/4 = 1016
...

And here are some examples using two decimal numbers that will add up to 1016:

1.25 + 1014.75 = 1016
2.50 + 1013.5 = 1016
3.75 + 1012.25 = 1016
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 1016?", 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 1016. (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 1016?" has 508 answers:

1 + 1015 = 1016
2 + 1014 = 1016
3 + 1013 = 1016
.
.
506 + 510 = 1016
507 + 509 = 1016
508 + 508 = 1016

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 1016 by 2 and then rounded down to the nearest whole number if necessary.

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