(25 intermediate revisions by 8 users not shown) 
Line 9: 
Line 9: 

Base8 Form = 3 

Base8 Form = 3 

Base16 Form = 3 

Base16 Form = 3 
− 
previous = [[2<font color="white">2</font>]] 
+ 
previous = 2 
− 
next = [[5<font color="white">5</font>]]}} 
+ 
next = 5}} 
− 

+ 
'''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. 






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

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





==Proofs== 

==Proofs== 
− 
*It is [[Divisibility Rulesdivisible by]] 1: 3/1=3 
+ 
*{{Divisibility numberYes1.}} 
− 
*It is '''not '''divisible by {{2}}: 3/2=1.5 
+ 
*{{Divisibility numberNo2.}} 
− 
*It is divisible by {{3}}: 3/3=1 
+ 
*{{Divisibility numberYes3.}} 
− 
*Therefore it has 2 factors, not 3, because 3 divided by 2 does not result in an [[integer]] value. 
+ 
*Therefore, it has 2 factors. 




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

+ 
<math>2^31</math>, which is the number [[7]], is a prime number. It is the 2nd Mersenne Prime. 

+ 


+ 
==Relationship with other numbers== 

===The numbers before=== 

===The numbers before=== 
− 
*2 is the first prime number. It is the only '''even''' prime number. 
+ 
*[[2]] is the first prime number. It is the only '''even''' prime number. 
− 
*'''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 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. 
+ 
**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. 
− 
**3 and 7 are four numbers apart, therefore, they are cousin primes. 
+ 
**3 and 7 are four numbers apart, therefore, they are [[Cousin Primescousin 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. 





==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. 
+ 
*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. 
+ 
*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. 
+ 
*Tritium (hydrogen3) has a nucleon number of 3. 
− 
*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. 
− 
* 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. 
+ 
*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. 
Line 47: 
Line 47: 

[[tl:3]] 

[[tl:3]] 

{{Navbox primes}} 

{{Navbox primes}} 
− 
[[Category:Prime numbers from 1100 3]] 
+ 
[[Category:Prime numbers from 110003]] 
− 
[[Category:Prime Numbers]] 
+ 
[[Category:Prime Numbers0003]] 

[[Category:1Digit Prime Numbers]] 

[[Category:1Digit Prime Numbers]] 

[[Category:Twin Primes]] 

[[Category:Twin Primes]] 
Line 56: 
Line 56: 

[[Category:Additive Primes]] 

[[Category:Additive Primes]] 

[[Category:Fibonacci Primes]] 

[[Category:Fibonacci Primes]] 

+ 
[[Category:Cousin Primes]] 

+ 
[[Category:Factorial Primes]] 

+ 
[[Category:Palindromic Primes]] 

+ 
[[Category:Chen Primes]] 