All prime numbers are odd. *
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Answer:
Looking at this short list of prime numbers can already reveal a few interesting observations. First, except for the number 2, all prime numbers are odd, since an even number is divisible by 2, which makes it composite. So, the distance between any two prime numbers in a row (called successive prime numbers) is at least 2. In our list, we find successive prime numbers whose difference is exactly 2 (such as the pairs 3,5 and 17,19). There are also larger gaps between successive prime numbers, like the six-number gap between 23 and 29; each of the numbers 24, 25, 26, 27, and 28 is a composite number. Another interesting observation is that in each of the first and second groups of 10 numbers (meaning between 1–10 and 11–20) there are four prime numbers, but in the third group of 10 (21–30) there are only two. What does this mean? Do prime numbers become rarer as the numbers grow? Can anyone promise us that we will be able to keep finding more and more prime numbers indefinitely?