The Difference Between Consecutive Primes, II

Roger C. Baker, G. Harman, J. Pintz

Type: Article

Publication Date: 2001-11-01

Citations: 385

DOI: https://doi.org/10.1112/plms/83.3.532

Abstract

The authors sharpen a result of Baker and Harman (1995), showing that [x, x + x0.525] contains prime numbers for large x. An important step in the proof is the application of a theorem of Watt (1995) on a mean value containing the fourth power of the zeta function. 2000 Mathematical Subject Classification: 11N05.

Locations

Proceedings of the London Mathematical Society - View
CiteSeer X (The Pennsylvania State University) - View - PDF

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Works Cited by This (10)

Action	Title	Year	Authors
+	The number of primes in a short interval.	1988	D. R. Heath‐Brown
+	Primes in short intervals	1984	Henryk Iwaniec J. Pintz
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+	On the Distribution of ap Modulo One	1993	Chen Jia
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+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown
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