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Re: [PrimeNumbers] Is the next one prime?

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  • Ignacio Larrosa Cañestro
    ... From: William F Sindelar To: Sent: Friday, January 04, 2002 7:04 PM Subject: [PrimeNumbers] Is the
    Message 1 of 5 , Jan 4, 2002
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      ----- Original Message -----
      From: "William F Sindelar" <w_sindelar@...>
      To: <primenumbers@yahoogroups.com>
      Sent: Friday, January 04, 2002 7:04 PM
      Subject: [PrimeNumbers] Is the next one prime?


      > Hi Everybody
      > I don't have the programs that can manipulate huge integers so I'm
      stuck
      > and burning with curiosity. Can anyone calculate the next term in the
      > following sequence and check to see if it is prime, and if it is, then
      > calculate the next one and check it for primality etc. Here is the
      > sequence:
      > 3, 19, 419, 176819, 31265489219, ...next one (is it prime?)
      > The sequence is generated by using the expression (N^2+3N+1). Starting
      > with N=3 we calculate 19, and it being prime we substitute 19 for N
      and
      > calculate again to obtain 419, etc.

      f(31265489219)=977530816197201697619 is composite

      (=19*31*102181*526931*30824161)

      > Another sequence starting with 29 is:
      > 29, 929, 865829, 749662454729, ...

      f(749662454729)=561993796032558961827629 is composite

      (=709*821*20423539*47272778599)



      You may like to download Primo.exe from http://www.znz.freesurf.fr/

      Althought I use DERIVE (a symbolic calculus program) to answer your
      questions.

      Saludos,

      Ignacio Larrosa Cañestro
      A Coruña (España)
      ignacio.larrosa@...
      ICQ #94732648
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