Loading ...
Sorry, an error occurred while loading the content.

big 3-CPAP

Expand Messages
  • Robin Garcia
    Indeed,not all is rotten in the kingdom of Denmark. Jens, What about a k=20 closest n^2+1 twin primes ( 624 (mod 2210) +0/2) +
    Message 1 of 2 , Nov 20, 2004
    • 0 Attachment
      Indeed,not all is rotten in the kingdom of Denmark.
      Jens,
      What about a k=20 closest n^2+1 twin primes
      ( 624 (mod 2210) +0/2) + -210,0,10,20,30,40,80,90,100,310
      Minimal distance for k=20 ----->520
      Easier than finding a 11-CPAP I think.

      10 days with a cyrix 230 Mhz prp-ing and still not found the minimal k=10 n^2*1 closest twin primes (n<1.1*10^11)
      Least k=8 is probably n=192308194 +0/2 +0,10,20,30

      Mike should help me.


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



      [Non-text portions of this message have been removed]
    • Jens Kruse Andersen
      ... I have not checked but if 520 is minimal then it should be allowed for k=20. It seems _very_ hard. http://hjem.get2net.dk/jka/math/simultprime.htm does not
      Message 2 of 2 , Nov 20, 2004
      • 0 Attachment
        Robin Garcia wrote:

        > Indeed,not all is rotten in the kingdom of Denmark.
        > Jens,
        > What about a k=20 closest n^2+1 twin primes
        > ( 624 (mod 2210) +0/2) + -210,0,10,20,30,40,80,90,100,310
        > Minimal distance for k=20 ----->520

        I have not checked but if 520 is minimal then it should be allowed for k=20.
        It seems _very_ hard.
        http://hjem.get2net.dk/jka/math/simultprime.htm does not even have an entry
        for k=19.

        > Easier than finding a 11-CPAP I think.

        Far easier than finding a CPAP-11, but most things are.
        http://hjem.get2net.dk/jka/math/cpap.htm says:
        "With current methods it may take trillions of cpu GHz years according to the
        people who found the only known CPAP-10."

        If somebody feels _extremely_ lucky, I have a CPAP-11 searcher.
        I haven't made an estimate yet but does it really matter?
        At least it would be likely to set the record for most optimistic prime search
        ever :-)
        A partial result with a non-consecutive AP-6 would be an allowed record by my
        rules. That may actually happen in this universe, but if the k=6 record is
        targeted then there are better ways.

        > 10 days with a cyrix 230 Mhz prp-ing and still not found the minimal k=10
        > n^2*1 closest twin primes (n<1.1*10^11)
        > Least k=8 is probably n=192308194 +0/2 +0,10,20,30
        >
        > Mike should help me.

        I don't know whether you are using individual trial factoring but true sieving
        is definitely recommended here. I don't have time to write the sieve.

        --
        Jens Kruse Andersen
      Your message has been successfully submitted and would be delivered to recipients shortly.