A note on primes of the form p=aq² + 1
Kaisa Matomäki (2009)
Acta Arithmetica
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Displaying similar documents to “Almost-primes represented by quadratic polynomials”
A note on primes of the form p=aq² + 1
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Henryk Iwaniec (1978)
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Yingchun Cai, Minggao Lu (2003)
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P. Pleasants (1966)
Acta Arithmetica
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Glyn Harman (2006)
Acta Arithmetica
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Hidden Symmetries Among Primes
Gustavo Funes, Damian Gulich, Leopoldo Garavaglia, Mario Garavaglia (2008)
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Křížek, Michal, Luca, Florian, Shparlinski, Igor E., Somer, Lawrence (2011)
Journal of Integer Sequences [electronic only]
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Four squares of primes and powers of 2
Lilu Zhao (2014)
Acta Arithmetica
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By developing the method of Wooley on the quadratic Waring-Goldbach problem, we prove that all sufficiently large even integers can be expressed as a sum of four squares of primes and 46 powers of 2.
Primes with preassigned digits II
Glyn Harman, Imre Kátai (2008)
Acta Arithmetica
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A uniform result on almost primes
R. Miech (1966)
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Primes in tuples IV: Density of small gaps between consecutive primes
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.