What two numbers add up to 3106?

There are infinite combinations of two numbers that add up to 3106. Here are some examples using negative numbers:

-1 + 3107 = 3106
-2 + 3108 = 3106
-3 + 3109 = 3106
...

Here are some examples using two fractions that will add up to 3106:

3106/2 + 3106/2 = 3106
6212/3 + 3106/3 = 3106
9318/4 + 3106/4 = 3106
...

And here are some examples using two decimal numbers that will add up to 3106:

1.25 + 3104.75 = 3106
2.50 + 3103.5 = 3106
3.75 + 3102.25 = 3106
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 3106?", 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 3106. (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 3106?" has 1553 answers:

1 + 3105 = 3106
2 + 3104 = 3106
3 + 3103 = 3106
.
.
1551 + 1555 = 3106
1552 + 1554 = 3106
1553 + 1553 = 3106

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 3106 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 3107?
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