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On admissible constellations of consecutive primes

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Abstract

Admissible constellations of primes are patterns which, like the twin primes, no simple divisibility relation would prevent from being repeated indefinitely in the series of primes. All admissible constellations, formed ofconsecutive primes, beginning with a prime <1000, are established, and some properties of such constellations in general are conjectured.

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Authors and Affiliations

  1. Németvölgyi Ut 72C, Budapest (XII), Hungary

    Paul Erdös & Hans Riesel

  2. Department of Numerical Analysis and Computing Science, Royal Institute of Technology, S-100 44, Stockholm, Sweden

    Paul Erdös & Hans Riesel

Authors
  1. Paul Erdös
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  2. Hans Riesel
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Dedicated to Peter Naur on the occasion of his 60th birthday

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Erdös, P., Riesel, H. On admissible constellations of consecutive primes. BIT 28, 391–396 (1988). https://doi.org/10.1007/BF01941122

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  • DOI: https://doi.org/10.1007/BF01941122

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