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Prime chains of form 2^n+/-k

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  • Robert
    Has anyone looked at prime chains, parallel to Cunningham chains, of the form 2^n+/-k? Such a chain would be prp for fixed k, with n in the chain increasing by
    Message 1 of 1 , Apr 7, 2006
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      Has anyone looked at prime chains, parallel to Cunningham chains, of
      the form 2^n+/-k?

      Such a chain would be prp for fixed k, with n in the chain increasing
      by the value of 1. Effectively, the prps in the chain would differ by
      values of 2^n

      Generally speaking, the series 2^n+k is more prp than k.2^n+1, because
      the series values for a given n are smaller in the former. Chains of
      prps of 2^n+k could, on average, therefore, be longer or more frequent
      than Cunningham chains, given that the two power series share the same
      net of multiplicative order base 2

      Regards

      Robert Smith
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