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

Re: [PrimeNumbers] Conjecture Question.

Expand Messages
  • Satoshi TOMABECHI
    ... It is an obvious fact. It is not a conjecture. Satoshi Tomabechi
    Message 1 of 4 , Jun 1, 2002
      Markus Frind wrote:
      > Is there a conjecture that states that every even number can be expressed
      > as the sum of powers of 2 ?

      It is an obvious fact. It is not a conjecture.

      Satoshi Tomabechi
    • Ben Newsam
      In message , Markus Frind writes ... Well, yes. If you used bit 0 as well, you
      Message 2 of 4 , Jun 1, 2002
        In message <5.0.0.25.2.20020531235709.033ebba0@...>, Markus
        Frind <flames@...> writes
        >Is there a conjecture that states that every even number can be expressed
        >as the sum of powers of 2 ?
        >
        >42 = 32 + 8 + 2
        >
        >Powers of 2 that weren't used to get to 42..
        >4,16
        >
        >The next power of 2 over 42 is 64. If we go 64 - 16 -4 we should
        >get 44 ( we always end up with the number +2)
        >
        >134 = 2+4+128
        >
        >powers that weren't used...
        >136 = 256 - (16+32+64+8)

        Well, yes. If you used bit 0 as well, you would find that two's
        complement arithmetic worked properly without being out by two.
        --
        Ben
      Your message has been successfully submitted and would be delivered to recipients shortly.