Redmond–Sun Conjecture

(Unsolved Problems In Mathematic)

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Unsolved Problems In Mathematic
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What is Redmond–Sun conjecture?

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

Technology Types

conjectures about prime numberhypothesisspeculationunsolved problems in mathematic

Synonyms

Redmond-Sun ConjectureRemond-Sun Conjecture

Translations

Conjectura de Redmond–Sun (pt)Conjecture de Redmond-Sun (fr)Redmond–Suns förmodan (sv)

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