Redmond–Sun conjecture

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In mathematics, the Redmond–Sun conjecture, raised by Stephen Redmond and Zhi-Wei Sun in 2006, states that every interval [x my n] with xymn ∈ {2, 3, 4, ...} and x my n contains primes with only finitely many exceptions. Namely, those exceptional intervals [x my n] are as follows:

The conjecture has been verified for intervals [x my n] with endpoints below 4.5 x 1018. It includes Catalan's conjecture and Legendre's conjecture as special cases. Also, it is related to the abc conjecture as suggested by Carl Pomerance.

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