FANDOM


(​Relationship with other odd numbers)
Line 19: Line 19:
 
*The previous odd number, 29, is a prime number.
 
*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.
 
**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.
+
*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 prime number previous to 29 is 23.
 
===The numbers after===
 
===The numbers after===
*The next odd number, 33, is not a prime number. It is divisible by 3 and 11.
+
*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.
+
*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.
 
*37, the odd number following 35, is a prime number.
 
**31 and 37 are six numbers apart; therefore, they are sexy primes.
 
**31 and 37 are six numbers apart; therefore, they are sexy primes.

Revision as of 02:36, December 8, 2013

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