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Re: Two elementary conjectures

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  • Patrick Capelle
    ... I added some comments to the following address : http://www.primepuzzles.net/conjectures/conj_049.htm Best regards, Patrick Capelle
    Message 1 of 2 , Oct 15, 2006
      --- In primenumbers@yahoogroups.com, Patrick Capelle wrote :

      > Dear List,
      > A few days ago i proposed two conjectures.
      >
      > Conjecture A :
      > Every natural number n > 1 can be written as n = pq + rs,
      > where p, q, r, s are primes or 1.
      >
      > Conjecture B :
      > Every natural number n > 33 is the sum of two semiprimes.
      >
      > Carlos Rivera checked them up to 10^6.
      >
      > The conjecture A and the conjecture B were inspired respectively by
      > the Papadimitriou's conjecture and the Firoozbakht's conjecture .
      >
      > Papadimitriou's conjecture :
      > Every prime number p > 3 can be written as p = 2q + 3r,
      > where q, r are primes or 1.
      >
      > Firoozbakht's conjecture :
      > Every prime number p >= 19 can be written as p = 2q + 3r,
      > where q, r are odd primes.
      >
      > About the conjecture B, Farideh Firoozbakht mentioned recently that
      > Lior Manor had already written on this topic (Aug 13 2002) :
      > http://www.research.att.com/~njas/sequences/A072966
      >
      > Do you know other former references ?
      >
      > Patrick Capelle

      -----------------------------------------------------------------

      I added some comments to the following address :
      http://www.primepuzzles.net/conjectures/conj_049.htm

      Best regards,
      Patrick Capelle
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