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|Base-8 Form = 3 |
|Base-8 Form = 3 |
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|Base-16 Form = 3 |
|Base-16 Form = 3 |
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− | |previous = |
+ | |previous = 2 |
− | |next = |
+ | |next = 5}} |
+ | '''3''' is the second prime number and the second single digit prime number. 3's prime factors are 1 and 3. It's the first odd prime, because the only even prime number is [[2]]. |
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− | + | It is also the first [[Fermat Primes|Fermat prime]], the first pi-prime number, the first prime of the form floor, and the first [[Mersenne Prime]]. |
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==Proofs== |
==Proofs== |
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− | * |
+ | *{{Divisibility number|Yes|1.}} |
+ | *{{Divisibility number|No|2.}} |
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− | *It is '''not '''divisible by {{2}}: 3/2=1.5 |
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+ | *{{Divisibility number|Yes|3.}} |
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− | *It is divisible by {{3}}: 3/3=1 |
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− | *Therefore it has 2 factors |
+ | *Therefore, it has 2 factors. |
+ | ==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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+ | |||
⚫ | |||
===The numbers before=== |
===The numbers before=== |
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− | *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 |
+ | *[https://www.youtube.com/watch?v=IQofiPqhJ_s&t=0s '''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. |
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*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. |
+ | **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. |
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− | **3 and 7 are four numbers apart, therefore, they are cousin primes. |
+ | **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 |
+ | *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=== |
===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. |
+ | *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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⚫ | |||
===Sports=== |
===Sports=== |
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*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. |
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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=== |
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*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]] |
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+ | [[et:3]] |
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+ | |||
+ | == Trivia == |
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+ | |||
+ | * There are only three consecutive odd numbers. 3, 5, 7. Later it's impossible because every 3rd odd number is composite, because it's divided by 3. |
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+ | * 3 is the only [[Additive Primes|additive prime]] whose digits add up to 3. It is because all the other numbers whose digits add up to a number that is divisible by 3 is divisible by 3. |
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{{Navbox primes}} |
{{Navbox primes}} |
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− | [[Category:Prime numbers from 1-100| |
+ | [[Category:Prime numbers from 1-100|03]] |
− | [[Category:Prime Numbers]] |
+ | [[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]] |
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+ | [[Category:Pi-Primes]] |
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+ | [[Category:Primes of the Form Floor]] |
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+ | [[Category:Oban Primes]] |
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+ | [[Category:Nban Primes]] |
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+ | [[Category:Iccanobif Primes]] |
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+ | [[Category:Two-sided Primes]] |
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+ | [[Category:Consecutive Prime Numbers]] |
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+ | [[Category:Iban Primes]] |
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+ | [[Category:Sophie Germain Primes]] |
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+ | [[Category:Super Primes]] |
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+ | [[Category:Prime-digit Primes]] |
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+ | [[Category:Curved-digit Primes]] |
Latest revision as of 21:11, 31 December 2023
3 is the second prime number and the second single digit prime number. 3's prime factors are 1 and 3. It's the first odd prime, because the only even prime number is 2.
It is also the first Fermat prime, the first pi-prime number, the first prime of the form floor, and the first Mersenne Prime.
Proofs
- Therefore, it has 2 factors.
As an Exponent of Mersenne Number
, which is the number 7, is a prime number. It is the 2nd Mersenne Prime.
Relationship with other 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 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.
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 the number of electrons are 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.
et:3
Trivia
- There are only three consecutive odd numbers. 3, 5, 7. Later it's impossible because every 3rd odd number is composite, because it's divided by 3.
- 3 is the only additive prime whose digits add up to 3. It is because all the other numbers whose digits add up to a number that is divisible by 3 is divisible by 3.