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7825Re: [PrimeNumbers] composite trinomials

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  • Bouk de Water
    Jul 2, 2002
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      --- paulunderwooduk <paulunderwood@...> wrote:
      > Hi,
      > I have just seen these:
      > 9999 2^65536-2^256+1 19729 x37 02 prime #0207
      > 9999 2^262144-2^512+1 78914 x37 02 #0207
      > which look improbable and a BLS no-hoper.

      Hi Folks!

      Actually, the first one doesn't look too bad at all.

      65536-256 = 65280.

      65280 has 72 divisors, which means N-1 also has 72 cyclotomic factors, not
      counting Aurifeullians that is. Might be worth a look. But provable or not it's
      still not archivable. But a nice challenge....

      Bouk.





      > PFGW Version 20020515.Win_Dev (Beta software, 'caveat utilitor')
      >
      > PRP: 2^65536-2^256+1 65000/65535
      > Done.
      > PFGW Version 20020515.Win_Dev (Beta software, 'caveat utilitor')
      >
      > PRP: 2^262144-2^512+1 262143/262143
      > Done.
      > Not even a PRP.
      > Paul
      >
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