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|ordinal-number = third
 
|ordinal-number = third
 
|previous = [[2|<font color="white">2</font>]]
 
|previous = [[2|<font color="white">2</font>]]
|next = [[5|<font color="white">5</font>]]}}3 is a [[1-100|prime number from 1-100]]. 3 is prime because it only has 2 factors, 1 and 3. It is said to be the first odd prime, because the previous prime number is [[2]], which is even. It is the second prime number, and the second prime number from 1-100.
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|next = [[5|<font color="white">5</font>]]}}
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3 is the second prime number, and the second single digit prime number. 3's prime factors are 1 and 3. It is said to be the first odd prime, because the previous prime number is [[2]], which is even.
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==Proofs==
 
==Proofs==
 
*It is divisible by 1: 3/1=3
 
*It is divisible by 1: 3/1=3
 
*It is '''not '''divisible by 2: 3/2=1.5
 
*It is '''not '''divisible by 2: 3/2=1.5
 
*It is divisible by 3: 3/3=1
 
*It is divisible by 3: 3/3=1
*Therefore it has 2 factors, not 3, because 3 cannot be divided by 2.
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*Therefore it has 2 factors, not 3, because 3 divided by 2 does not result in an [[integer]] value.
   
 
==Relationship with other odd numbers==
 
==Relationship with other odd numbers==
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*'''1''', the number before 2, is '''not '''a prime number.
 
*'''1''', the number before 2, is '''not '''a prime number.
 
===The numbers after===
 
===The numbers after===
*The next odd number, 5, is a prime number.
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*The next odd number, [[5]], is a prime number.
 
**There are no odd numbers between 3 and 5. As a result, they are twin primes.
 
**There are no odd numbers between 3 and 5. As a result, they are twin primes.
*7, the odd number following 5, is a prime number.
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*[[7]], the odd number following 5, is a prime number.
 
**3 and 7 are four numbers apart, therefore, they are cousin primes.
 
**3 and 7 are four numbers apart, therefore, they are cousin primes.
 
*9, the odd number following 7, is not a prime number. It is a square number, and the first odd composite number.
 
*9, the odd number following 7, is not a prime number. It is a square number, and the first odd composite number.

Revision as of 07:19, December 15, 2013


3 is the second prime number, and the second single digit prime number. 3's prime factors are 1 and 3. It is said to be the first odd prime, because the previous prime number is 2, which is even.

Proofs

  • It is divisible by 1: 3/1=3
  • It is not divisible by 2: 3/2=1.5
  • It is divisible by 3: 3/3=1
  • Therefore it has 2 factors, not 3, because 3 divided by 2 does not result in an integer value.

Relationship with other odd numbers

The numbers before

  • 2 is the first prime number. It is the only even prime number.
  • 1, the number before 2, is not a prime number.

The numbers after

  • The next odd number, 5, is a prime number.
    • There are no odd numbers between 3 and 5. As a result, they are twin primes.
  • 7, the odd number following 5, is a prime number.
    • 3 and 7 are four numbers apart, therefore, they are cousin primes.
  • 9, the odd number following 7, is not a prime number. It is a square number, and the first odd composite number.


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