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Re: ordos problem

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  • Paul Underwood
    ... and p ... arithmetic ... Jobling ... http://listserv.nodak.edu/scripts/wa.exe?A2=ind0407&L=nmbrthry&F=&S=&P=2520 ... Here is a pre-print of the proof that
    Message 1 of 3 , Aug 24, 2004
      --- In primenumbers@yahoogroups.com, "Payam Samidoost" <sami@a...> wrote:
      > Saeed (or REZA)
      >
      > > I want to know that ,is there q,p (that is q is positive integer
      and p
      > is a prime number )
      > > that qK+p is prime for 1<k<m(k can be 1 or m )that is m is free
      > positive integer .
      >
      > If you let k be zero then the sequence qk+p is called "primes in
      arithmetic
      > progression with length m+1".
      >
      > The longest (an AP23) is discovered recently by Markus Frind, Paul
      Jobling
      > and Paul Underwood:
      > 56,211,383,760,397 +K*44,546,738,095,860 for K =0 to 22
      > see: http://primes.plentyoffish.com/
      > and
      >
      http://listserv.nodak.edu/scripts/wa.exe?A2=ind0407&L=nmbrthry&F=&S=&P=2520
      >
      > Regards,
      > Payam

      Here is a pre-print of the proof that there are arbritarily long PAP's:

      http://arxiv.org/abs/math.NT/0404188

      Paul
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