At 8:51 PM -0500 11/13/98, [EMAIL PROTECTED] wrote:
>No, not factors.  The different addends of the number.
>4 = 2 + 2 (2 is prime)
>6 = 3 + 3 (3 is prime)
>8 = 3 + 5 (both prime)
>10 = 5+5
>12 = 5+7
>14=7+7
>16=5+11
>18=7+11
>Well, you get the idea.  Another interesting thing to note which is part of
>the theorem is that it can only be done in one way, and exactly one way.  So
>what ever the two primes are that add to 250...<few secs later> 163 and 87, no
>other pair of primes will add to 250 according to the theorem.
>
>Joel

Not quite.

10= 5 + 5 = 3 + 7,

14 = 7 + 7 = 3 + 11,

34 = 17 + 17 = 31 + 3 = 29 + 5 = 23 + 11.

There are many others...

Anyway, it's not a theorem, it's a conjecture (Goldbach's conjecture). It's
never been proven, nor has anyone found a counterexample.

mark snyder


mark snyder
fitchburg state college

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