Prime Numbers Wiki
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|roman-number = III
 
|roman-number = III
 
|ordinal-number = third
 
|ordinal-number = third
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|cardinal-number = three
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|Base-2 Form = 11
  +
|Base-3 Form = 10
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|Base-4 Form = 3
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|Base-5 Form = 3
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|Base-6 Form = 3
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|Base-7 Form = 3
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|Base-8 Form = 3
 
|previous = [[2|<font color="white">2</font>]]
 
|previous = [[2|<font color="white">2</font>]]
 
|next = [[5|<font color="white">5</font>]]}}
 
|next = [[5|<font color="white">5</font>]]}}

Revision as of 22:55, 27 December 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

General

  • Trilogy refers to a set of three works of art that are connected, either as a single work or three individual works.

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.
  • In baseball, 3 strikes are required for the player to be considered "out", and 3 outs are required for the attacking team to exchange with the opposing team.

Video Games

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