All prime numbers over 3 are either 6n - 1 or 6n + 1.
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Yes. In general, if you have two different prime numbers, they will also be relatively prime.
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The only even prime number (not only from 1 to 100, but in general) is 2. All other even numbers are multiples of 2, and therefore, by definition, not prime numbers.
No. The sum of two odd numbers is always even, and no prime is even (apart from 2, but it is the lowest prime, so no primes can be added to form it).
Yes, all prime numbers over 3 are either of the form 6n - 1 or 6n + 1.