1002 and -1000
Does that count?
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The sum of two numbers is a whole number if both of the numbers are whole numbers, or if the sum of two fractions can be simplified to a whole number.
It is not clear what the question means: there are 31 2-digit numbers that can be expressed as a sum of two squares.
Highest 2-digit number = 99 Highest 1-digit number = 9 Highest possible sum from 2, 2-digit numbers = 198 Highest possible sum from 2, 1-digit numbers = 18
The 3 largest 2 digit prime numbers are 83, 89, and 97. The sum is 269
Oh, dude, you want me to find 4-digit numbers where the digits add up to 2? That's like finding a needle in a haystack! But hey, I'm up for the challenge. The only number that fits the bill is 1001. So, there you go, one lonely 4-digit number with a digit sum of 2.