1 + 0
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The numbers you add together are called addends. If you add one number to another to form a sum, the number you add on can be called the augend. See the Penguin Dictionary of Mathematics.
There is no solution. For two numbers to add to an odd total, one of them must be even. If that number is also a prime it must be 2. But if one of the numbers is 2 and the two sum to 289, the other must be 287. But 287 is not a prime and the question required two primes to be added.
Add the numbers into one variable as you read them in. But if you prefer, you can read the numbers into an array and then use a loop to add the numbers together.
71
There are many combinations of two numbers that add up to 36. One combination is 20 + 16