Question

Kim says that the sum of two prime numbers is always even.

Which of the statements below shows that Kim is not correct?
A 7+5 = 12
B 3+8=11
C 2+ 11 = 13
D 2+9=11

Answer 1

Explanation:

The statement that shows that Kim is not correct is C, "2+ 11 = 13". The sum of two prime numbers can be even or odd, depending on the specific prime numbers being added. For example, the sum of the prime numbers 2 and 3 is 5, which is odd. The sum of the prime numbers 5 and 7 is 12, which is even. However, the sum of the prime numbers 2 and 11 is 13, which is not even. Therefore, statement C, "2+ 11 = 13", shows that Kim is not correct in stating that the sum of two prime numbers is always even.

Answer 2

C) 2 + 11 = 13

Explanation:

Prime number

A prime number is a whole number greater than 1 that cannot be made by multiplying other whole numbers. Its only factors are 1 and itself.

The first few prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, etc.

Analysing the given answer options:

• 7 and 5 are both prime numbers and their sum is 12, an even number.

• 3 is a prime number but 8 is not a prime number.

• 2 and 11 are both prime numbers and their sum is 13, an odd number.

• 2 is a prime number but 9 is not a prime number.

Therefore, the statement that shows that the sum of two prime numbers is not always even is:

• C) 2 + 11 = 13