Every even number greater than 2 can be expressed as the sum of two pr

1.	Every even number greater than 2 can be expressed as the sum of two prime numbers. Verify this statement for every even number up to 16.
Answer» Even numbers greater then 2 upto 16 are 4, 6, 8, 10, 12, 14 and 16 4 = 2 + 2 6 = 3 + 3 8 = 3 + 5 10 = 3 + 7 (or) 5 + 5 12 = 5 + 7 14 = 7 + 7 (or) 3 + 11 16 = 5 + 11 (or) 3 + 13

Every even number greater than 2 can be expressed as the sum of two prime numbers. Verify this statement for every even number up to 16.

Answer»

Even numbers greater then 2 upto 16 are 4, 6, 8, 10, 12, 14 and 16

4 = 2 + 2
6 = 3 + 3
8 = 3 + 5
10 = 3 + 7 (or) 5 + 5
12 = 5 + 7
14 = 7 + 7 (or) 3 + 11
16 = 5 + 11 (or) 3 + 13