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{{Infobox
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|title = 3
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|image = 3.png
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|imagewidth = 200
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|roman-number = III
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|ordinal-number = third
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|previous = [[2|<font color="white">2</font>]]
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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==
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*It is divisible by 1: 3/1=3
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*It is '''not '''divisible by 2: 3/2=1.5
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*It is divisible by 3: 3/3=1
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*Therefore it has 2 factors, not 3, because 3 divided by 2 does not result in an [[integer]] value.
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==Relationship with other odd numbers==
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===The numbers before===
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*2 is the first prime number. It is the only '''even''' prime number.
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*'''1''', the number before 2, is '''not '''a prime number.
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===The numbers after===
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*The next odd number, [[5]], is a prime number.
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**There are no odd numbers between 3 and 5. As a result, they are twin primes.
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*[[7]], the odd number following 5, is a prime number.
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**3 and 7 are four numbers apart, therefore, they are cousin primes.
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*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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==Usage==
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===Science===
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*Lithium's atomic number and number of electrons are 3.
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*Group three elements also have the valence of +3. Similarly, group five elements have the valence of -3.
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*Tritium / hydrogen-3, has a nucleon number of 3.
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===Sports===
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*In basketball, a shot behind the three-point arc is worth three points, unless in the 3x3 variant.
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===Video Games===
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*In The Legend of Zelda series, there is a sacred relic called Triforce, which consists of three separate golden triangles.
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{{Navbox primes}}
 
[[Category:Prime numbers from 1-100]]
 
[[Category:Prime numbers from 1-100]]
 
[[Category:Prime Numbers]]
 
[[Category:Prime Numbers]]

Revision as of 11:16, December 16, 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.

Usage

Science

  • Lithium's atomic number and number of electrons are 3.
  • Group three elements also have the valence of +3. Similarly, group five elements have the valence of -3.
  • Tritium / hydrogen-3, has a nucleon number of 3.

Sports

  • In basketball, a shot behind the three-point arc is worth three points, unless in the 3x3 variant.

Video Games

  • In The Legend of Zelda series, there is a sacred relic called Triforce, which consists of three separate golden triangles.


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