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A prime gap is the difference between two successive prime numbers. The -th prime gap, denoted or is the difference between the th and the -th prime numbers, i.e.,

:

For example, since the first few primes are 2, 3, 5, 7, 11..., we have , , . The sequence of prime gaps has been extensively studied; however, many questions and conjectures remain unanswered.

The first 60 prime gaps are:
: 1,

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