Searching for large elite primes.
Müller, Tom (2006)
Experimental Mathematics
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Müller, Tom (2006)
Experimental Mathematics
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Křížek, Michal, Luca, Florian, Shparlinski, Igor E., Somer, Lawrence (2011)
Journal of Integer Sequences [electronic only]
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Glyn Harman (2006)
Acta Arithmetica
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Christian Elsholtz (2003)
Acta Arithmetica
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Douglas Hensley, Ian Richards (1974)
Acta Arithmetica
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Yong-Gao Chen (2012)
Acta Arithmetica
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Yuan Wang (1978-1979)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
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Glyn Harman, Imre Kátai (2008)
Acta Arithmetica
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Gustavo Funes, Damian Gulich, Leopoldo Garavaglia, Mario Garavaglia (2008)
Visual Mathematics
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Alfred Rényi (1951)
Compositio Mathematica
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Daniel Alan Goldston, János Pintz, Cem Yalçın Yıldırım (2013)
Acta Arithmetica
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We prove that given any small but fixed η > 0, a positive proportion of all gaps between consecutive primes are smaller than η times the average gap. We show some unconditional and conditional quantitative results in this vein. In the results the dependence on η is given explicitly, providing a new quantitative way, in addition to that of the first paper in this series, of measuring the effect of the knowledge on the level of distribution of primes.
Jan Mycielski (1989)
Colloquium Mathematicae
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Müller, Tom (2007)
Journal of Integer Sequences [electronic only]
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Kaisa Matomäki (2009)
Acta Arithmetica
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