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