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From: gmf@uvacs.UUCP
Newsgroups: net.jokes
Subject: Odd primes (more)
Message-ID: <1265@uvacs.UUCP>
Date: Sat, 28-Apr-84 10:10:22 EDT
Article-I.D.: uvacs.1265
Posted: Sat Apr 28 10:10:22 1984
Date-Received: Sun, 29-Apr-84 09:12:54 EDT
Lines: 29


More proofs that all positive odd numbers are prime:

Administrator:  3 is prime, 5 is prime, 7 is prime.
                (a)  the other cases will be considered later
                (b)  there are no other cases
                (c)  this topic is closed

Mathematician:  There are exactly as many odd numbers as there are primes
                (Euclid, Cantor).  Hence all odd numbers are prime.

Physicist:      There are approximately as many odd numbers as there are
                primes.  Hence all odd numbers are prime.

Mathematical physicist:  Actually, the theorem is false.  For, according
                to the mathematicians, pi(x) = o(x), i.e., the number of
                primes < x divided by x goes to zero as x goes to infinity.
                Thus in the limit, all numbers are composite.  It is true
                that there are an infinite number of primes (Euclid), but
                after a certain point they are negligible.  Since there
                are an infinite number of odd numbers, they can't all
                be prime.  This result also follows from the second law
                of thermodynamics.

Moralist:       There are odd numbers which aren't prime, but they ought
                to be.


          Gordon Fisher