Question

if the s of any two prime numbers always even ? justify your answer with the help of examples.​

Answer 1

Answer:

No.

Step-by-step explanation:

While almost all prime numbers are odd, and two odd numbers always sum to a even number, there is one even prime, namely 2.

If we take the sum of 2 and any other prime, keeping in mind that this prime must be odd, then our result must also be odd.

Here's a few examples:

2+3 = 5, odd

2+5 = 7, odd

2+7 = 9, odd

2+97 = 99, odd

We can however also get even sums if we only use odd primes (that is not 2):

5+3 = 8, even

7+11 = 18, even

3+97 = 100, even