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

Powers of Two Primes

Expand Messages
  • miltbrown@earthlink.net
    Powers of Two Numbers are 1 21 421 8421 168421 32168421 6432168421 1286432168421 ... The conjecture is that 421 is the only Power of Two Prime. The other
    Message 1 of 2 , Aug 11, 2007
    View Source
    • 0 Attachment
      Powers of Two Numbers are

      1
      21
      421
      8421
      168421
      32168421
      6432168421
      1286432168421
      ...

      The conjecture is that 421 is the only Power of Two Prime.

      The other conjecture is that alternate power of two numbers
      are divisible by 3.

      Milton L. Brown
    • Peter Kosinar
      ... Proof: Sum(i=0..N, 10^something(i)*2^i) mod 3 = Sum(i=0..N, 2^i) mod 3 = 2^(N+1)-1 mod 3 = 0 for odd N, 1 for even N. Q.E.D. Peter -- [Name] Peter Kosinar
      Message 2 of 2 , Aug 11, 2007
      View Source
      • 0 Attachment
        > The other conjecture is that alternate power of two numbers
        > are divisible by 3.

        Proof:
        Sum(i=0..N, 10^something(i)*2^i) mod 3 =
        Sum(i=0..N, 2^i) mod 3 =
        2^(N+1)-1 mod 3 =
        0 for odd N, 1 for even N.
        Q.E.D.

        Peter

        --
        [Name] Peter Kosinar [Quote] 2B | ~2B = exp(i*PI) [ICQ] 134813278
      Your message has been successfully submitted and would be delivered to recipients shortly.