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A probable CPAP-3 with d=17676

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  • Hans.Rosenthal@t-online.de
    9337#+835401121+n*17676, n=0,1,2 is a _probable_ 4003-digit CPAP-3, which, when proved prime*, would fit into the top-10 of this type of prime constellations
    Message 1 of 1 , Sep 5, 2004
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      9337#+835401121+n*17676, n=0,1,2

      is a _probable_ 4003-digit CPAP-3, which, when proved prime*, would fit
      into the top-10 of this type of prime constellations (as of 5 Sep 2004).

      But what is more interesting (at least to me) is the fact that d=17676
      is the largest known common difference for any CPAP-k (k > 2) that has
      ever been discovered, as far as I know.

      Hans

      I dare to conjecture that within one year from now (5 Sep 2004) on*, no
      one will find a larger value of d for any CPAP-k. Note that the average
      prime gap length for the form 9337#+k by testing k from 1 to 840000001
      is 9717.

      * The Primo certifications of primality will follow within due time.
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