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To: totallyOwned

I was always under the impression that a prime number was evenly divisible only by itself and one (eg 1,2,3,5,7,11,13,17,19,23,29,31,37,etc).

If one is not a prime number, then is there such a thing as a prime number?

20 posted on 12/22/2004 11:26:00 PM PST by Don W (Some lives are taken, while others are freely given)

To: Don W
The proper definition of a prime number is, a positive integer that has exactly two different divisors, where 'divisor' is defined as any number that divides another number without remainder.

The integer '1' is not a prime because it has just one divisor, itself.

'2', otoh, has the necessary two divisors, '1' and '2', and is therefore a prime number, and identically so for other primes.

22 posted on 12/22/2004 11:59:39 PM PST by SAJ

To: Don W

Definitions of prime number on the Web:

A number that has exactly two factors, 1 and the number itself (cf Venn Diagrams Discussion).
www.shodor.org/interactivate/dictionary/p.html

Any integer greater than 1 that is divisible only by 1 and itself.
www.ncipher.com/investors/glossary.php

Any integer greater than 1 that is divisible only by 1 and itself. The first twelve primes are 2,3,5,7,11,13,17,19,23,29,31, and 37.
www.rsasecurity.com/rsalabs/faq/B.html

any integer that cannot be divided by another number evenly except by itself and 1; two is the smallest prime number Example:"2, 3, 5, 7, 11, 13"
www.allmath.com/glossary.asp

A whole number greater than 1 that has exactly two whole number factors, 1 and itself. The first five prime numbers are 2,3,5,7, and 11.

A prime number is a natural number that has only one and itself as factors. Examples: 2, 3, 5, 7, 11, 13, 17, 19, 23, … are prime numbers.
www.cunymath.cuny.edu/students/glossary/n-p.html

A prime number is a number, larger than 1, that can only be divided evenly by itself and 1. The first 4 prime numbers are 2,3,5 and 7. 4 is not a prime because it can be divided by 2. Can you name the next 4 prime numbers?
www.blarg.net/~math/defs.html

27 posted on 12/26/2004 9:01:34 AM PST by itsahoot (There are some things more painful than the truth, but I can't think of them.)

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