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19667Re: [PrimeNumbers] Big PrimoProth prime number

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  • Jens Kruse Andersen
    Oct 28, 2008
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      I wrote:
      > A Proth prime is k*2^n+1 with k < 2^n.
      > A PrimoProth prime is based on this, a Proth prime where k is a primorial:
      > m#*2^n+1 with m# < 2^n
      > However, m#*2^n-1 with m# < 2^n also appears to be allowed.

      After looking at more Google hits, it actually appears that the few people
      searching or listing PrimoProths use different definitions or don't state a
      definition at all. This confusion may be caused by Henri Lifchitz who
      introduced the concept but himself seems unclear with the definiton and
      inconsistent in the alleged records, both regarding whether there is an
      upper and a lower limit on m#.

      Jens Kruse Andersen
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