prove that x=a+b for all x>=4 (x is a even number) where a,b belongs to prime numbers

Dear Sanjana,

You have not provided sufficient information or you had copied the question incorrectly. Consider a case in which 'a' and 'b' be 3 and 5 (which are prime no.'s) respectively, and 'x' be 10 (which is >= 4 and also an even no.). Then, 'x is not equal to (a+b) [Since, 8 is not equal to 10].

Kindly, post the question correctly.

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Priyansh Bajaj

we have to prove that any x can be represented as a sum of 2 prime numbers where x is even number greater than 4

Anyone who solves this is entitled to $ 1 million from Clay Math Institute, because you would be proving the Goldbach conjecture that has remained unproved for several decades!