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  • Shiv Nandan Singh
    Dear geeks , Are there any primes P of any form such that 2*K*P + 1 is never prime for any positive value of K. Or to be specific does there exist any single
    Message 1 of 4 , Mar 7, 2004
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      Dear geeks ,
      Are there any primes P of any form such that 2*K*P + 1 is never prime for any positive value of K. Or to be specific does there exist any single prime P such that 2*KP + 1 is never prime for all K>0 .Or could you prove its inexistence....? Any light on the issue would be highly praised....
      Thanks
      Shiv Nandan Singh
      IIITAllahabad
      http://profile.iiita.ac.in
















































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    • Shiv Nandan Singh
      Dear geeks , Are there any primes P of any form such that 2*K*P + 1 is never prime for any positive value of K. Or to be specific does there exist any single
      Message 2 of 4 , Mar 7, 2004
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        Dear geeks ,
        Are there any primes P of any form such that 2*K*P + 1 is never prime for any positive value of K. Or to be specific does there exist any single prime P such that 2*KP + 1 is never prime for all K>0 .Or could you prove its inexistence....? Any light on the issue would be highly praised....
        Thanks
        Shiv Nandan Singh
        IIITAllahabad
        http://profile.iiita.ac.in/snsingh_02


















































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        Yahoo! Search - Find what you�re looking for faster.

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      • Andy Swallow
        Dear idiot, 2KP+1 is an arithmetic progression whose elements have no common factor, and so will always contain infinitely many primes, whatever P is. Andy PS
        Message 3 of 4 , Mar 7, 2004
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          Dear idiot,

          2KP+1 is an arithmetic progression whose elements have no common factor,
          and so will always contain infinitely many primes, whatever P is.

          Andy

          PS Don't take offence to the dear idiot start, but if you're going to
          ask for help by saying 'dear geeks', then you can probably expect such a
          reply...

          PPS See Dirichlet's theorem, in any good number theory book, for more
          information.


          On Sun, Mar 07, 2004 at 08:00:17AM -0800, Shiv Nandan Singh wrote:
          > Dear geeks ,
          > Are there any primes P of any form such that 2*K*P + 1 is never prime
          > for any positive value of K. Or to be specific does there exist any
          > single prime P such that 2*KP + 1 is never prime for all K>0 .Or could
          > you prove its inexistence....? Any light on the issue would be highly
          > praised....
          > Thanks
          > Shiv Nandan Singh
          > IIITAllahabad
          > http://profile.iiita.ac.in
        • Jens Kruse Andersen
          ... 2*P and 1 are relatively prime (whether P is prime or not). Then Dirichlet s theorem says there are always infinitely many primes.
          Message 4 of 4 , Mar 7, 2004
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            Shiv Nandan Singh wrote:
            > Are there any primes P of any form such that 2*K*P + 1 is never prime for
            > any positive value of K.

            2*P and 1 are relatively prime (whether P is prime or not).
            Then Dirichlet's theorem says there are always infinitely many primes.
            http://primes.utm.edu/glossary/page.php?sort=DirichletsTheorem

            --
            Jens Kruse Andersen
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