# Goldbach's Conjecture - a question about prime sums of odd numbers

Jim Gillogly jim at acm.org
Thu Nov 19 09:04:52 PST 1998

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Ray Arachelian wrote:
> "Igor Chudov @ home" wrote:

> > Well, take 11, for example, it cannot be repsesented as a sum of different
> > primes. It cannot, pure and simple.

> Bullshit: 7+5+(-1)=11.  Last I heard, negative numbers weren't excluded from
> being primes.  7 is different from 5, -1 is different from 7 and from 5.

If this is boiling down to a definition of primes, I'll haul out my Hardy &
Wright, page 2:

A number p is said to be prime if (i) p > 1, (ii) p has no positive
divisors except 1 and p.  ...  It is important to observe that 1 is not
reckoned as a prime.

My number theory class at college (admittedly that was three decades ago)
also started the prime series at 2 and went up from there.  The term
"odd primes" always meant 3 and above, not 1 and above.

YMMV.
--
Jim Gillogly
29 Blotmath S.R. 1998, 16:29
12.19.5.12.12, 4 Eb 5 Ceh, Ninth Lord of Night

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