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{{Infobox
 
|title = 31
 
|image = 31.png
 
|imagewidth = 200
 
|roman-number = XXXI
 
|ordinal-number = thirty first
 
|cardinal-number = thirty-one
 
|Base-2 Form = 11111
 
|Base-8 Form = 37
 
|Base-16 Form = 1F
 
|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]]
 
==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 5<sup>2</sup> = 25. 27 is a cube number, being 3<sup>3</sup> = 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.
 
   
{{Navbox primes}}
 
 
[[Category:Prime numbers from 1-100]]
 
[[Category:Prime numbers from 1-100]]
 
[[Category:Prime Numbers]]
 
[[Category:Prime Numbers]]

Revision as of 13:12, February 15, 2014

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