Is 0 or 1 prime?

KingNothing

Diamond Member
Apr 6, 2002
7,141
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The definition of a prime number is that its only factors are 1 and itself. 1 fits that definition, 0 does not.
 

dabuddha

Lifer
Apr 10, 2000
19,579
17
81
Originally posted by: KingNothing
The definition of a prime number is that its only factors are 1 and itself. 1 fits that definition, 0 does not.

1 isn't a prime number
 

eakers

Lifer
Aug 14, 2000
12,169
2
0
1 is depending on what book you read. 2 is the first real prime.

0 is hard because it denotes an absence of value.
 

WobbleWobble

Diamond Member
Jun 29, 2001
4,867
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Originally posted by: KingNothing
The definition of a prime number is that its only factors are 1 and itself. 1 fits that definition, 0 does not.

1 is not a prime number nor is it a composite number. It has a special name but I don't remember.

0 is also not a prime number.
 

Beau

Lifer
Jun 25, 2001
17,730
0
76
www.beauscott.com
Originally posted by: WobbleWobble
Originally posted by: KingNothing
The definition of a prime number is that its only factors are 1 and itself. 1 fits that definition, 0 does not.

1 is not a prime number nor is it a composite number. It has a special name but I don't remember.

0 is also not a prime number.

a perfect square?
 

dullard

Elite Member
May 21, 2001
25,834
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By mathematical definition, 1 is a prime number. However by convention, 1 is excluded from the list of prime numbers.
 

Rob9874

Diamond Member
Nov 7, 1999
3,314
1
0
"Is 2 or 3 the correct answer?"

If the question is asking for one exclusive answer, "is" is correct.
 

Lonyo

Lifer
Aug 10, 2002
21,938
6
81
Originally posted by: Kyteland
"Is 0 or 1 prime?"
"Are 0 and 1 prime?"

Is 0 or 1 prime seems more like "Is 0 prime, or is 1 prime", not "are either of 0 or 1 prime?". Like either one is or the other is, not that neither or both can be.
 

BigJelly

Golden Member
Mar 7, 2002
1,717
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0
well zero isnt a number its a concept so 0 is not a prime number because its not a number

1 on the other hand can be considered prime or not
 

AIWGuru

Banned
Nov 19, 2003
1,497
0
0
You have a choice to make here:
"Are 0 and 1 prime numbers?"
OR:
"Is 0 or 1 a prime number?"

The "is" option implies that one of the two is a prime and you're not sure which one. Since you're not sure about either, I would use the "are" option.
 

Kyteland

Diamond Member
Dec 30, 2002
5,747
1
81
Originally posted by: BigJelly
well zero isnt a number its a concept so 0 is not a prime number because its not a number

1 on the other hand can be considered prime or not

Proof that zero isn't a number?

Google says otherwise, although the top sourse is USAToday.....
 

DrPizza

Administrator Elite Member Goat Whisperer
Mar 5, 2001
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Originally posted by: dullard
By mathematical definition, 1 is a prime number. However by convention, 1 is excluded from the list of prime numbers.

Hey Dullard, how's it going? I tend to always see you in these threads. :)

The correct definition of prime number is: A whole number greater than 1 that is divisible by only itself and 1. Most teachers seem to forget to include the first part about being greater than 1. The reason for prime numbers is for prime factorization (factoring something completely into its components).

Every number has a unique prime factorization. i.e. 60's prime factorization is 2*2*3*5.

If 1 was a prime factor, then the factorization could be written as 2*2*3*5*1 or 2*2*3*5*1*1 or 2*2*3*5*1*1*1*1*1*1 or...

Prime numbers are useful for quite a few applications, especially including encryption.