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#1 Re: Dark Discussions at Cafe Infinity » Why is it that teachers keep insisting that 1 is a prime number? » 2008-12-18 23:38:51

I got this from Wikipedia:

"Until the 19th century, most mathematicians considered the number 1 a prime, with the definition being just that a prime is divisible only by 1 and itself but not requiring a specific number of distinct divisors. There is still a large body of mathematical work that is valid despite labelling 1 a prime..." 

So, to my mind, it's debatable.  I personally consider 1 to be prime, for the simple fact that it's not "compound." For me, all natural numbers (the "counting numbers": 1,2,3,4,5,6...infinity) can be put into 2 groups: either prime or compound (reducible to factors that are primes).  And there's no way 1 should be considered compound.  And having 3 groupings of natural numbers, {primes}, {compounds}, and {1}, seems silly and inelegant.

And I hardly think saying 1 is prime is in any way like saying 2+2=5, or pi=3.0, or 1/0=0, all of which are clearly false.

To be, or not to be (prime). That is the question (for One).  I'm sure the validity of Mathematics will not collapse in either case.

#2 Re: Dark Discussions at Cafe Infinity » Why is it that teachers keep insisting that 1 is a prime number? » 2008-12-18 22:42:00

bossk171,

I'm glad to hear it - you made my day!  The best of luck to you and your kids! smile

#3 Re: Dark Discussions at Cafe Infinity » Why is it that teachers keep insisting that 1 is a prime number? » 2008-12-18 17:03:34

bossk171,

I really think you should speak up.  It's not right to let the math suffer because you're too concerned about the teacher's feelings.  After all, the whole point of education is to educate the students.  The students come before the teachers.  The teachers are there to serve, not be served.

Perhaps you could have told the teacher during recess.  Or, if you feel that would be too forward, perhaps you could tell some individual students?  In any event, you should not just let it go by.  That would be a disservice both to the students and to Mathematics.

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