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|ordinal-number = thirty first
 
|ordinal-number = thirty first
 
|cardinal-number = thirty-one
 
|cardinal-number = thirty-one
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|standard-form = 3.1{{E|1}}
 
|Base-2 Form = 11111
 
|Base-2 Form = 11111
 
|Base-8 Form = 37
 
|Base-8 Form = 37
 
|Base-16 Form = 1F
 
|Base-16 Form = 1F
|previous = [[29|<font color="white">29</font>]]
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|previous = 29
|next = [[37|<font color="white">37</font>]]}}
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|next = 37}}
 
31 is a [[1-100|prime number from 1-100]]. 31 has 2 factors, 1 and 31. It is said to be a number wherein when digits are added together, they make a composite number. It is the eleventh prime number, and the eleventh prime number from 1-100. [[File:31.png|thumb]]
 
31 is a [[1-100|prime number from 1-100]]. 31 has 2 factors, 1 and 31. It is said to be a number wherein when digits are added together, they make a composite number. It is the eleventh prime number, and the eleventh prime number from 1-100. [[File:31.png|thumb]]
 
==Proofs==
 
==Proofs==
*1 can divide 31
+
*{{Divisibility number|Yes|1.}}
*2 cannot
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*{{Divisibility number|No|2-30.}}
*3 cannot
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*{{Divisibility number|Yes|31.}}
*4 - 28 cannot
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*29 cannot
+
==As an Exponent of Mersenne Number==
*30 also cannot
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2<sup>31</sup> - 1, which is the number 2,147,483,647, is a prime number. It is the 8th Mersenne Prime.
*31 can divide itself
+
 
==​Relationship with other odd numbers==
 
==​Relationship with other odd numbers==
 
===The numbers before===
 
===The numbers before===
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[[Category:2-Digit Prime Numbers]]
 
[[Category:2-Digit Prime Numbers]]
 
[[Category:Twin Primes]]
 
[[Category:Twin Primes]]
  +
[[Category:Circular Primes]]
  +
[[Category:Sexy Primes]]
  +
[[Category:Chen Primes]]
  +
[[Category:Russian-doll primes]]
  +
[[Category:Multiplicative Persistence 1]]

Latest revision as of 16:23, May 3, 2018

31 is a prime number from 1-100. 31 has 2 factors, 1 and 31. It is said to be a number wherein when digits are added together, they make a composite number. It is the eleventh prime number, and the eleventh prime number from 1-100. 
31

ProofsEdit

  • Yes — 31 can be divided by 1.
  • No — 31 cannot be divided by 2-30.
  • Yes — 31 can be divided by 31.


As an Exponent of Mersenne NumberEdit

231 - 1, which is the number 2,147,483,647, is a prime number. It is the 8th Mersenne Prime.

​Relationship with other odd numbersEdit

The numbers beforeEdit

  • The previous odd number, 29, is a prime number.
    • There are no odd numbers between 29 and 31. As a result, they are twin primes.
  • Before 29, the previous two odd numbers are 25 and 27. 25 is a square number, being 52 = 25. 27 is a cube number, being 33 = 27.
  • The prime number previous to 29 is 23.

The numbers afterEdit

  • The next odd number, 33, is not a prime number. It is divisible by 3 and 11.
  • The next odd number, 35, is also not a prime number. It is divisible by 5 and 7.
  • 37, the odd number following 35, is a prime number.
    • 31 and 37 are six numbers apart; therefore, they are sexy primes.
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