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Re: [Phys-l] Carmichael numbers agai

Regarding Tim F's analogy,

I don't think the original statement was ever meant to be a definition.
It was a necessary but not sufficient condition.

*All Carmichael numbers are the product of 3 or more primes, but not all
products of three or more primes are Carmichael numbers

Just like

* All primes are odd, but not all odd numbers are prime.

Well, not 'just like', because the above statement is not quite true. Remember that 2 is a prime number, and 2 is not odd.

David Bowman