What two numbers add up to 8193?

There are infinite combinations of two numbers that add up to 8193. Here are some examples using negative numbers:

-1 + 8194 = 8193
-2 + 8195 = 8193
-3 + 8196 = 8193
...

Here are some examples using two fractions that will add up to 8193:

8193/2 + 8193/2 = 8193
16386/3 + 8193/3 = 8193
24579/4 + 8193/4 = 8193
...

And here are some examples using two decimal numbers that will add up to 8193:

1.25 + 8191.75 = 8193
2.50 + 8190.5 = 8193
3.75 + 8189.25 = 8193
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 8193?", 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 8193. (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 8193?" has 4096 answers:

1 + 8192 = 8193
2 + 8191 = 8193
3 + 8190 = 8193
.
.
4094 + 4099 = 8193
4095 + 4098 = 8193
4096 + 4097 = 8193

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 8193 by 2 and then rounded down to the nearest whole number if necessary.

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