What two prime numbers added together make a square number?

Answer 1

The only two prime numbers that can be added together to make a square number are 2 and 2. When you add them together, you get 4, which is a square number (2 x 2 = 4). This is because all other prime numbers, when added together, will result in an even sum that is not a square number.

Answer 2

2 and 2

Also, 2 + 7 = 9, 5 + 11 = 16, 2 + 23 = 25, 17 + 19 = 36, 2 + 47 = 49, 23 + 41 = 64, 2 + 79 = 81, and 47 + 53 = 100.

I know what you're thinking, 2 + 119 = 121... I spot a pattern! Alas, 119 = 17*7 and therefore isn't prime.