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Are There Arbitrarily Long Arithmetic Progressions In The Sequence of Twin Primes?

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An Irregular Mind

Part of the book series: Bolyai Society Mathematical Studies ((BSMS,volume 21))

Abstract

The problem in the title seemed to be out of reach of any methods before 2004. We have still no answer for it, and it is no surprise that we will not answer it in the present work either. However, in the last few years the following developments arose in connection with the above problem. Supported by OTKA Grants K72731, K67676 and ERC-AdG.228005.

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Authors and Affiliations

  1. Rényi Mathematical Institute of the Hungarian Academy of Sciences, Budapest Redltanoda u. 13-15, H-1053, Hungary

    János Pintz

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  1. János Pintz
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Correspondence to János Pintz .

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Editors and Affiliations

  1. Alfred Rènyi Institute of Mathematics, Hungarian Academy of Sciences, Reáltanoda u. 13-15, Budapest, 1053, Hungary

    Imre Bárány

  2. Department of Mathematics, University of British Columbia, Mathematics Road 1984, V6T 1Z2, Vancouver, British Columbia, Canada

    József Solymosi

  3. Alfred Rènyi Institute of Mathematics, Hungarian Academy of Sciences, Reáltanoda u. 13-15, Budapest, 1053, Hungary

    Gábor Sági

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© 2010 János Bolyai Mathematical Society and Springer-Verlag

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Pintz, J. (2010). Are There Arbitrarily Long Arithmetic Progressions In The Sequence of Twin Primes?. In: Bárány, I., Solymosi, J., Sági, G. (eds) An Irregular Mind. Bolyai Society Mathematical Studies, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14444-8_15

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