## Conjecture Question.

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• 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
Message 1 of 4 , Jun 1, 2002
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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)

Markus
• Never mind, I suppose we can call this the binary number system!
Message 2 of 4 , Jun 1, 2002
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Never mind, I suppose we can call this the binary number system!

At 12:12 AM 6/1/2002 -0700, Markus Frind wrote:
>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)
>
>
>Markus
>
>
>
>Unsubscribe by an email to: primenumbers-unsubscribe@egroups.com
>The Prime Pages : http://www.primepages.org
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• ... It is an obvious fact. It is not a conjecture. Satoshi Tomabechi
Message 3 of 4 , Jun 1, 2002
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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
• In message , Markus Frind writes ... Well, yes. If you used bit 0 as well, you
Message 4 of 4 , Jun 1, 2002
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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
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