First of all, I stand corrected on my comment about uniqueness in the
conjecture. I remember there was something like that, maybe it was that there
are always at least two DISTINCT primes for n where n>4 and n is even. So
although 10 is 5 and 5, it can also be arrived at with two distinct primes, 3
and 7. I think, therefore, that that's the reason that Jon's original email
said any even number greater than 4 and not 2 because four only being arrived
at with two and two is not two distinct primes.
Sorry for the confusion, and I'm waiting for the counter-example for my latest
ammendment to the conjecture.
-Joel
In a message dated 11/14/98 7:06:44 AM EST,
[EMAIL PROTECTED] writes:
<< If you define r(n) as the number of ways n can be written as a sum of two
primes, we have r(250) = 14 [since 250 = 83 + 167 = 71 + 179 = 59 + 191 = 53
+
197 = 23 + 227 = 17 + 233 = 11 + 239, and we count each of those twice]; as
far as I know r(n) is very rarely 2, so Joel's comment about uniqueness is
unfortunately false. >>
