Find a counter example to the statement: The sum of two prime numbers is always even.
___ + ___ = ___
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With Step-by-step explanation:
The prime number are:
2, 3, 5, 7, 11, 13, 17, .....
To find, the sum of two prime numbers is always even = ?
Every prime number is an odd number except 2, 2 is the even number.
The sum of two prime numbers
We already know that,
Even + odd = Odd
Odd + Odd = Even
= 2 + 3 = 5, odd
= 3 + 5 = 8, even
= 5 + 7 = 12, even
....
Hence, the sum of two prime numbers is "not always even".
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