Split the number in half and make an equation adding the two together to make the desired amount. Unless the number that is half the total is prime, adjust the first number down by an amount to make it a Prime number, then adjust the second one up by an equal amount and check whether it is also a prime number. If the second number is also a prime number, you have found two prime numbers that equal the desired amount. If not, adjust the first number down to another prime number, repeating the procedure above until you have two prime numbers.
If you split 144 in half, the result is 72. Take the equation 72 + 72 = 144. Since 71 is prime, adjust the first number down by 1 and the second number up by 1 to get 71 + 73 = 144. Since 73 is prime, too, you now have two prime numbers that add up to 144.
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137 and 11 are two prime numbers that add up to 148.
The two prime numbers that add up to 247 are 241 and 6. 241 is a prime number because it has only two factors: 1 and 241. However, 6 is not a prime number because it has more than two factors: 1, 2, 3, and 6. When you add 241 and 6 together, you get 247.
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The sum of two prime numbers will be composite unless one of the prime numbers is 2.
If you're talking about which two prime numbers added together equals to 19, then the answer is 2 and 17. They are both prime numbers, and they add up to be 19.