Question

Some prime numbers can be expressed as sum of other consecutive prime numbers. For example 5

Answer 1

The correct answer is given below:

Step-by-step explanation:

• Prime number can be defined as a natural number which is greater than 1 and can be divided only by the same natural number or by one.
• This means that a  prime number can be formed only by multiplying the given number with one.
• However, 1 is not a prime number.
• Prime number starts with 2.
• Examples are 2, 3, 5, 7, etc.
• Except 2, all prime numbers are odd numbers (that is not divisible by 2).
• There is only one example showing the addition of two consecutive prime numbers that gives rise to another prime number, and that is,

                                             2   +    3   =   5.

• Consecutive means one next (after) to the other.
• Here 2, 3 and 5 all are prime numbers.
• 2 and 3 are the two consecutive prime numbers.
• Sum of two consecutive prime numbers (2 and 3) is giving rise to another prime number (5).
• However, no other consecutive prime numbers can add to give rise to another prime number.
• For example, if we take the example below,

                                           11    +     13   =  24.

• Here, 11 and 13 are two consecutive prime numbers.
• Their addition gives rise to 24 which is a non-prime number (it is not only divisible by 1 and 24 but also divisible by 2,3,4,6,8 and 12).
• If we take other examples also, we will find that addition of two consecutive prime numbers will give rise to a non-prime number.