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?
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.
Definitions of prime number on the Web:
A number that has exactly two factors, 1 and the number itself (cf Venn Diagrams Discussion).
Any integer greater than 1 that is divisible only by 1 and itself.
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.
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"
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.
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?