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Prove that all odd integers are prime.

Well, the first student to try to do this was a math student. Hey

says "hmmm... Well, 1 is prime, 3 is prime, 5 is prime, and by

induction, we have that all the odd integers are prime."

Of course, there are some jeers from some of his friends. The

physics student then said, "I'm not sure of the validity of your proof,

but I think I'll try to prove it by experiment." He continues, "Well, 1

is prime, 3 is prime, 5 is prime, 7 is prime, 9 is ... uh, 9 is an

experimental error, 11 is prime, 13 is prime... Well, it seems that

you're right."

The third student to try it was the engineering student, who

responded, "Well, actually, I'm not sure of your answer either. Let's

see... 1 is prime, 3 is prime, 5 is prime, 7 is prime, 9 is ..., 9 is

.., well if you approximate, 9 is prime, 11 is prime, 13 is prime...

Well, it does seem right."

Not to be outdone, the computer science student comes along

and says "Well, you two sort've got the right idea, but you'd end up

taking too long doing it. I've just whipped up a program to REALLY go

and prove it..." He goes over to his terminal and runs his program.

Reading the output on the screen he says, "1 is prime, 1 is prime, 1

is prime, 1 is prime...."

- Several students were asked the following problem:
Prove that all odd integers are prime.

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