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|cardinal-number = three
 
|cardinal-number = three
 
|Base-2 Form = 11
 
|Base-2 Form = 11
|Base-3 Form = 10
 
|Base-4 Form = 3
 
|Base-5 Form = 3
 
|Base-6 Form = 3
 
|Base-7 Form = 3
 
 
|Base-8 Form = 3
 
|Base-8 Form = 3
|Base-9 Form = 3
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|Base-16 Form = 3
|previous = [[2|<font color="white">2</font>]]
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|previous = 2
|next = [[5|<font color="white">5</font>]]}}
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|next = 5}}
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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.
   
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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It is also the first [[Fermat Primes|Fermat prime]] and the first [[Mersenne Prime]].
   
 
==Proofs==
 
==Proofs==
*It is divisible by 1: 3/1=3
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*{{Divisibility number|Yes|1.}}
*It is '''not '''divisible by {{2}}: 3/2=1.5
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*{{Divisibility number|No|2.}}
*It is divisible by {{3}}: 3/3=1
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*{{Divisibility number|Yes|3.}}
*Therefore it has 2 factors, not 3, because 3 divided by 2 does not result in an [[integer]] value.
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*Therefore, it has 2 factors.
   
==Relationship with other odd numbers==
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==As an Exponent of Mersenne Number==
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<math>2^3-1</math>, which is the number [[7]], is a prime number. It is the 2nd Mersenne Prime.
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==Relationship with other numbers==
 
===The numbers before===
 
===The numbers before===
*2 is the first prime number. It is the only '''even''' prime number.
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*[[2]] is the first prime number. It is the only '''even''' prime number.
*'''1''', the number before 2, is '''not '''a prime number.
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*'''1''', the number before 2, is '''not''' a prime number.
 
===The numbers after===
 
===The numbers after===
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*The next number, 4, is the first composite number, and a square number. It is the square of 2.
 
*The next odd number, [[5]], is a prime number.
 
*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.
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**There are no odd numbers between 3 and 5, and they are two numbers apart. As a result, they are [[Twin Primes|twin primes]].
 
*[[7]], the odd number following 5, is a prime number.
 
*[[7]], the odd number following 5, is a prime number.
**3 and 7 are four numbers apart, therefore, they are cousin primes.
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**3 and 7 are four numbers apart, therefore, they are [[Cousin Primes|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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*9, the odd number following 7, is not a prime number. It is a square number and the first odd composite number.
   
 
==Usage==
 
==Usage==
 
 
===General===
 
===General===
* Trilogy refers to a set of three works of art that are connected, either as a single work or three individual works.
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*Trilogy refers to a set of three works of art that are connected, either as a single work or three individual works.
 
===Science===
 
===Science===
*Lithium's atomic number and number of electrons are 3.
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*Lithium's atomic number and the number of electrons are 3.
*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.
*Tritium / hydrogen-3, has a nucleon number of 3.
 
 
===Sports===
 
===Sports===
 
*In basketball, a shot behind the three-point arc is worth three points, unless in the 3x3 variant.
 
*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.
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*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===
 
===Video Games===
 
*In The Legend of Zelda series, there is a sacred relic called Triforce, which consists of three separate golden triangles.
 
*In The Legend of Zelda series, there is a sacred relic called Triforce, which consists of three separate golden triangles.
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[[tl:3]]
 
[[tl:3]]
 
{{Navbox primes}}
 
{{Navbox primes}}
[[Category:Prime numbers from 1-100| 3]]
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[[Category:Prime numbers from 1-100|03]]
[[Category:Prime Numbers]]
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[[Category:Prime Numbers|0003]]
 
[[Category:1-Digit Prime Numbers]]
 
[[Category:1-Digit Prime Numbers]]
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[[Category:Twin Primes]]
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[[Category:Mersenne Primes]]
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[[Category:Fermat Primes]]
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[[Category:Circular Primes]]
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[[Category:Additive Primes]]
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[[Category:Fibonacci Primes]]
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[[Category:Cousin Primes]]
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[[Category:Factorial Primes]]
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[[Category:Palindromic Primes]]
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[[Category:Chen Primes]]

Latest revision as of 20:40, January 8, 2020

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.

It is also the first Fermat prime and the first Mersenne Prime.

ProofsEdit

  • Yes — 3 can be divided by 1.
  • No — 3 cannot be divided by 2.
  • Yes — 3 can be divided by 3.
  • Therefore, it has 2 factors.

As an Exponent of Mersenne NumberEdit

$ 2^3-1 $, which is the number 7, is a prime number. It is the 2nd Mersenne Prime.

Relationship with other numbersEdit

The numbers beforeEdit

  • 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 afterEdit

  • The next number, 4, is the first composite number, and a square number. It is the square of 2.
  • The next odd number, 5, is a prime number.
    • There are no odd numbers between 3 and 5, and they are two numbers apart. 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.

UsageEdit

GeneralEdit

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

ScienceEdit

  • Lithium's atomic number and the number of electrons are 3.
  • Tritium (hydrogen-3) has a nucleon number of 3.

SportsEdit

  • 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 GamesEdit

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