What two numbers add up to 3143?

There are infinite combinations of two numbers that add up to 3143. Here are some examples using negative numbers:

-1 + 3144 = 3143
-2 + 3145 = 3143
-3 + 3146 = 3143
...

Here are some examples using two fractions that will add up to 3143:

3143/2 + 3143/2 = 3143
6286/3 + 3143/3 = 3143
9429/4 + 3143/4 = 3143
...

And here are some examples using two decimal numbers that will add up to 3143:

1.25 + 3141.75 = 3143
2.50 + 3140.5 = 3143
3.75 + 3139.25 = 3143
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 3143?", 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 3143. (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 3143?" has 1571 answers:

1 + 3142 = 3143
2 + 3141 = 3143
3 + 3140 = 3143
.
.
1569 + 1574 = 3143
1570 + 1573 = 3143
1571 + 1572 = 3143

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 3143 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 3144?
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