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Primes of the form [formula omitted]

Authors
Journal
Journal of Number Theory
0022-314X
Publisher
Elsevier
Publication Date
Identifiers
DOI: 10.1016/j.jnt.2009.03.009

Abstract

Abstract Let β be a real number. Then for almost all irrational α > 0 (in the sense of Lebesgue measure), lim sup x → ∞ π α , β ∗ ( x ) ( log x ) 2 / x ⩾ 1 , where π α , β ∗ ( x ) = { p ⩽ x : both p and ⌊ α p + β ⌋ are primes } .

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