A set of anything usually means more than one. Twin primes are a set of two prime numbers that differs from each other by two. Here are the sets of twin primes less than 100: (3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61), and (71, 73).
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Nobody invented them - they are a characteristic of the set of numbers.
47 is prime.
The twin prime of 191 is 193.
47 as a product of prime factors is: 47. [47 is a prime number, so it only has itself as a prime factor - note 1 is NOT a prime number.]
47 is a prime number.