What two numbers add up to 4066?

There are infinite combinations of two numbers that add up to 4066. Here are some examples using negative numbers:

-1 + 4067 = 4066
-2 + 4068 = 4066
-3 + 4069 = 4066
...

Here are some examples using two fractions that will add up to 4066:

4066/2 + 4066/2 = 4066
8132/3 + 4066/3 = 4066
12198/4 + 4066/4 = 4066
...

And here are some examples using two decimal numbers that will add up to 4066:

1.25 + 4064.75 = 4066
2.50 + 4063.5 = 4066
3.75 + 4062.25 = 4066
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 4066?", 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 4066. (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 4066?" has 2033 answers:

1 + 4065 = 4066
2 + 4064 = 4066
3 + 4063 = 4066
.
.
2031 + 2035 = 4066
2032 + 2034 = 4066
2033 + 2033 = 4066

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 4066 by 2 and then rounded down to the nearest whole number if necessary.

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