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Prime gap
A prime gap is the difference between two successive prime numbers. The n {\displaystyle n} -th prime gap, denoted g n {\displaystyle g_{n}} or g ( p n ) {\displaystyle g(p_{n})} is the difference between the ( n + 1 ) {\displaystyle (n+1)} th and the n {\displaystyle n} -th prime numbers, i.e.,
Further results, Conjectures about gaps between primes & Simple observations