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|cardinal-number = thirty-one
 
|cardinal-number = thirty-one
 
|Base-2 Form = 11111
 
|Base-2 Form = 11111
|Base-3 Form = 1011
 
|Base-4 Form = 133
 
|Base-5 Form = 111
 
|Base-6 Form = 51
 
|Base-7 Form = 43
 
 
|Base-8 Form = 37
 
|Base-8 Form = 37
|Base-9 Form = 34
+
|Base-16 Form = 1F
 
|previous = [[29|<font color="white">29</font>]]
 
|previous = [[29|<font color="white">29</font>]]
|next = [[37|<font color="white">37</font>]]}}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]]
+
|next = [[37|<font color="white">37</font>]]}}
  +
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
 
*1 can divide 31

Revision as of 02:08, February 2, 2014

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

Proofs

  • 1 can divide 31
  • 2 cannot
  • 3 cannot
  • 4 - 28 cannot
  • 29 cannot
  • 30 also cannot
  • 31 can divide itself

​Relationship with other odd numbers

The numbers before

  • 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 after

  • 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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