A prime k-tuple is a specific arrangement of k distinct prime numbers that possess certain properties or characteristics. In the context of number theory, the term often refers to tuples of prime numbers that exhibit specific arithmetic patterns or share particular gaps. One of the most famous examples of prime k-tuples is the concept of "twin primes," which are pairs of prime numbers that differ by 2 (e.g., (3, 5) and (11, 13)).
