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romannumber = III 

romannumber = III 

ordinalnumber = third 

ordinalnumber = third 
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previous = [[2<font color="white">2</font>]] 
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cardinalnumber = three 
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next = [[5<font color="white">5</font>]]}} 
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Base2 Form = 11 

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Base8 Form = 3 

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Base16 Form = 3 

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previous = 2 

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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. 




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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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It is also the first [[Fermat PrimesFermat prime]] and the first [[Mersenne Prime]]. 





==Proofs== 

==Proofs== 
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*It is divisible by 1: 3/1=3 
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*{{Divisibility numberYes1.}} 
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*It is '''not '''divisible by 2: 3/2=1.5 
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*{{Divisibility numberNo2.}} 
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*It is divisible by 3: 3/3=1 
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*{{Divisibility numberYes3.}} 
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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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*Therefore, it has 2 factors. 




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==Relationship with other odd numbers== 
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==As an Exponent of Mersenne Number== 

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<math>2^31</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=== 
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*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. 
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*'''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. 
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**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 Primestwin primes]]. 

*[[7]], the odd number following 5, is a prime number. 

*[[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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**3 and 7 are four numbers apart, therefore, they are [[Cousin Primescousin 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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*9, the odd number following 7, is not a prime number. It is a square number and the first odd composite number. 





==Usage== 

==Usage== 

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===General=== 

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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=== 
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*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. 
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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 (hydrogen3) has a nucleon number of 3. 
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*Tritium / hydrogen3, has a nucleon number of 3. 


===Sports=== 

===Sports=== 

*In basketball, a shot behind the threepoint arc is worth three points, unless in the 3x3 variant. 

*In basketball, a shot behind the threepoint arc is worth three points, unless in the 3x3 variant. 

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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]] 

{{Navbox primes}} 

{{Navbox primes}} 
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[[Category:Prime numbers from 1100]] 
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[[Category:Prime numbers from 110003]] 
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[[Category:Prime Numbers]] 
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[[Category:Prime Numbers0003]] 

[[Category:1Digit Prime Numbers]] 

[[Category:1Digit 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]] 