FANDOM


m (Restoring contents)
 
Line 1: Line 1:
  +
{{Infobox
  +
|title = 31
  +
|image = 31.png
  +
|imagewidth = 200
  +
|roman-number = XXXI
  +
|ordinal-number = thirty first
  +
|cardinal-number = thirty-one
  +
|standard-form = 3.1{{E|1}}
  +
|Base-2 Form = 11111
  +
|Base-8 Form = 37
  +
|Base-16 Form = 1F
  +
|previous = 29
  +
|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]]
  +
==Proofs==
  +
*{{Divisibility number|Yes|1.}}
  +
*{{Divisibility number|No|2-30.}}
  +
*{{Divisibility number|Yes|31.}}
   
  +
==As an Exponent of Mersenne Number==
  +
2<sup>31</sup> - 1, which is the number 2,147,483,647, is a prime number. It is the 8th Mersenne Prime.
  +
  +
==​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]]

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.
Community content is available under CC-BY-SA unless otherwise noted.