@George,

George wrote:

Yet another Greek.

*Quidquid id est, timeo Danaos et dona ferentes*

OK, but how does that jibe with the cartoon I've quoted above?

(BTW, thanks for that reference, it was very interesting. )

Sorry George, I forgot you're a philosopher, not a mathematician

The cartoon summarizes Euclid's (yep, yet another pesky Greek's) proof that the primes go on forever:

Quote:Call the primes in our finite list p1, p2, ..., pr. Let P be any common multiple of these primes plus one (for example, P = p1p2...pr+1). Now P is either prime or it is not. If it is prime, then P is a prime that was not in our list. If P is not prime, then it is divisible by some prime, call it p. Notice p can not be any of p1, p2, ..., pr, otherwise p would divide 1, which is impossible. So this prime p is some prime that was not in our original list. Either way, the original list was incomplete.

http://primes.utm.edu/notes/proofs/infinite/euclids.html
And, btw, even the original of your "...timeo Danaos..." was written by yet another Greek - you can't win this one easily....