Difficulty rating:
Easy. 3.5/10
Solution:
One might think that it would take a lot of time to solve this question. However, that's not the case.
Notice two things.
The sum of 2 odd numbers is always even. Example : 3+5 = 8, 8 is even. Similarly, 11+9 = 20, 20 is even.
The sum of an odd number and an even number is always odd. Example:
4+5 = 9, etc.
Therefore, if two prime numbers sum to 741, then the two prime numbers cannot be both odd, one of them has to be an even number and the other one has to be an odd number.
There is only one even prime number, 2. And a quick google search tells us that 739 is a prime number.
So, there is only one pair of prime numbers, 2 and 739 which sum to 741.