A prime quadruplet is a set of four prime numbers that are closely spaced together in such a way that the first number is usually followed by three numbers that again are all prime. The most common form of a prime quadruplet is in the pattern: \[ (p, p+2, p+6, p+8) \] For example, the prime quadruplet (3, 5, 7, 11) fits this pattern because all four numbers are prime.
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