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# c program to check whether a number can be expressed as sum of two prime numbers

test case 1 input 35 output not test case 2 input 34=3+31 34=5+29 34=11+23 34=17+17 34

3 Answers

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True. But it is believed (although not yet mathematically proven) that it is possible for every single even integer.
See https://en.m.wikipedia.org/wiki/Goldbach%27s_conjecture

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not possible for most odd numbers as 2 is the only prime even number.
e.g
33 = 31+2

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Thanks Bogdan. Interesting info.