1)A twin prime is a prime number that is either 2 less or 2 more than another prime number—for example, either member of the twin prime pair. In other words, a twin prime is a prime that has a prime gap of two
2)Prime Triplet is a set of three primenumbers of the form (p, p+2, p+6) or (p, p+4, p+6). This is the closest possible grouping of three prime numbers, since one of every three sequential odd numbers is a multiple of three, and hence not prime (except for 3 itself) except (2, 3, 5) and (3, 5, 7) .
3)
Two integers a and b are said to be relatively prime or co-prime, if the only positive integer that divides both of them is 1. That is, the only common positive factor of the two numbers is 1 or, their greatest common divisor is 1.
Eg: 3 and 5, 12 and 17, 3 and 10 etc.